CHAPTER VIII.

AT GREENWICH OBSERVATORY--1866 TO 1876.

1866

In this year the cube of the Transit Circle was pierced, to permit

reciprocal observations of the Collimators without raising the

instrument. This involved the construction of improved Collimators,

which formed the subject of a special Address to the Members of the

Board of Visitors on Oct. 21st 1865.--From the Report to the Visitors

it appears that "On May 23rd 1865, a thunderstorm of great violence

passed very close to the Observatory. After one flash of lightning, I

was convinced that the principal building was struck. Several

galvanometers in the Magnetic Basement were destroyed. Lately it has

been remarked that one of the old chimneys of the principal building

had been dislocated and slightly twisted, at a place where it was

surrounded by an iron stay-band led from the Telegraph Pole which was

planted upon the leads of the Octagon Room."--"On consideration of the

serious interruptions to which we have several times been exposed from

the destruction of our open-air Park-wires (through snow-storms and

gales), I have made an arrangement for leading the whole of our wires

in underground pipes as far as the Greenwich Railway Station."--"The

Committee of the House of Commons, to whom the Greenwich and Woolwich

Line of the South Eastern Railway was referred, finally assented to

the adoption of a line which I indicated, passing between the

buildings of the Hospital Schools and the public road to

Woolwich."--"The Galvanic Chronometer attached to the S. E. Equatoreal

often gave us a great deal of trouble. At last I determined, on the

proposal of Mr Ellis, to attempt an extension of Mr R. L. Jones's

regulating principle. It is well known that Mr Jones has with great

success introduced the system of applying galvanic currents

originating in the vibrations of a normal pendulum, not to drive the

wheelwork of other clocks, but to regulate to exact agreement the

rates of their pendulums which were, independently, nearly in

agreement; each clock being driven by weight-power as before. The same

principle is now applied to the chronometer.... The construction is

perfectly successful; the chronometer remains in coincidence with the

Transit Clock through any length of time, with a small constant error

as is required by mechanical theory."--"The printed volume of

Observations for 1864 has two Appendixes; one containing the

calculations of the value of the Moon's Semi-diameter deduced from 295

Occultations observed at Cambridge and Greenwich from 1832 to 1860,

and shewing that the Occultation Semi-diameter is less than the

Telescopic Semi-diameter by 2"; the other containing the reduction of

the Planetary Observations made at the Royal Observatory in the years

1831-1835; filling up the gap, between the Planetary Reductions

1750-1830 made several years ago under my superintendence, and the

Reductions contained in the Greenwich Volumes 1836 to the present

time: and conducted on the same general principles."--"Some trouble

had been found in regulating the temperature of the Magnetic Basement,

but it was anticipated that in future there would be no difficulty in

keeping down the annual variation within about 5° and the diurnal

variation within 3°.--Longitudes in America were determined in this

year by way of Valencia and Newfoundland: finished by Nov. 14th."

Of private history: In April he made a short visit to Ventnor in the

Isle of Wight.--From June 15th to July 23rd he was on an expedition in

Norway with his son Osmund and his nephew Gorell Barnes.--There was

probably a short stay at Playford in the winter.

In this and in the previous year (1865) the free-thinking

investigations of Colenso, the Bishop of Natal, had attracted much

notice, and had procured him the virulent hostility of a numerous

section. His income was withheld from him, and in consequence a

subscription fund was raised for his support by his admirers. Airy,

who always took the liberal side in such questions, was a subscriber

to the fund, and wrote the following letter to the Bishop:

ROYAL OBSERVATORY, GREENWICH, S.E.,

_1865, July 24_.

MY LORD,

With many thanks I have to acknowledge your kind recollection of me in

sending as a presentation copy the work on Joshua, Judges, and

especially on the divided authorship of Genesis; a work whose

investigations, founded in great measure on severe and extensive

verbal criticism, will apparently bear comparison with your Lordship's

most remarkable examination of Deuteronomy. I should however not do

justice to my own appreciation if I did not remark that there are

other points considered which have long been matters of interest to

me.

On several matters, some of them important, my present conclusions do

not absolutely agree with your Lordship's. But I am not the less

grateful for the amount of erudition and thought carefully directed to

definite points, and above all for the noble example of unwearied

research and freedom in stating its consequences, in reference to

subjects which scarcely ever occupy the attention of the clergy in our

country.

I am, My Lord,

Yours very faithfully,

G.B. AIRY.

_The Lord Bishop of Natal_.

* * * * *

Here also is a letter on the same subject, written to Professor

Selwyn, Professor of Divinity at Cambridge:--

ROYAL OBSERVATORY, GREENWICH,

LONDON, S.E.,

_1866, May 5_.

MY DEAR SIR,

The MS. concerning Colenso duly arrived.

I note your remarks on the merits of Colenso. I do not write to tell

you that I differ from you, but to tell you why I differ.

I think that you do not make the proper distinction between a person

who invents or introduces a tool, and the person who uses it.

The most resolute antigravitationist that ever lived might yet

acknowledge his debt to Newton for the Method of Prime and Ultimate

Ratios and the Principles of Fluxions by which Newton sought to

establish gravitation.

So let it be with Colenso. He has given me a power of tracing out

truth to a certain extent which I never could have obtained without

him. And for this I am very grateful.

As to the further employment of this power, you know that he and I use

it to totally different purposes. But not the less do I say that I owe

to him a new intellectual power.

I quite agree with you, that the sudden disruption of the old

traditional view seems to have unhinged his mind, and to have sent him

too far on the other side. I would not give a pin for his judgment.

Nevertheless, I wish he would go over the three remaining books of the

Tetrateuch.

I know something of Myers, but I should not have thought him likely to

produce anything sound on such things as the Hebrew Scriptures. I

never saw his "Thoughts."

I am, my dear Sir,

Yours very truly,

G.B. AIRY.

_Professor Selwyn_.

* * * * *

The following letter has reference to Airy's proposal to introduce

certain Physico-Mathematical subjects into the Senate-House

Examination for B.A. Honors at Cambridge. On various occasions he

sharply criticized the Papers set for the Senate-House Examination and

the Smith's Prize Examination, and greatly lamented the growing

importance of pure mathematics and the comparative exclusion of

physical questions in those examinations. His proposal as finally

submitted in the letter that follows was somewhat modified (as regards

the mode of introducing the subjects) from his original draft, in

deference to the opinions of Whewell, Adams, Routh, and other friends

to whom he had submitted it. His proposal was favourably received by

the Mathematical Board, and recommendations were made in the

direction, though not to the extent, that he desired, and he

subsequently submitted a Memorandum on those recommendations:

ROYAL OBSERVATORY, GREENWICH,

_1866, May 11_.

MY DEAR SIR,

You will perceive, from perusal of the enclosed paper, that I have

acted on the permission which you kindly gave me, to transmit to you

my proposal for extension of the mathematical education of the

University in the Physical direction.

It is an unavoidable consequence of the structure of the University

that studies there will have a tendency to take an unpractical form

depending much on the personal tastes of special examiners. I trust

that, as a person whose long separation from the daily business of the

University has enabled him to see in some measure the wants of the

external scientific and practical world, I may be forgiven this

attempt to bring to the notice of the University my ideas on the

points towards which their attention might perhaps be advantageously

turned.

I am, my dear Sir,

Very faithfully yours,

G.B. AIRY.

_The Rev. Dr Cartmell,

Master of Christ's College

and Vice-Chancellor._

ROYAL OBSERVATORY, GREENWICH,

_1866, May 11_.

MY DEAR MR VICE-CHANCELLOR,

About two years ago, by the kindness of the University, an opportunity

was presented to me of orally stating what I conceived to be

deficiencies in the educational course of the University as regards

mathematical physics. Since that time, the consideration of those

deficiencies, which had long been present to me, has urged itself on

my attention with greater force: and finally I have entertained the

idea that I might without impropriety communicate to you my opinion,

in a less fugitive form than on the occasion to which I have alluded:

with the request that, if you should deem such a course appropriate,

you would bring it before the Board of Mathematical Studies, and

perhaps ultimately make it known to the Resident Members of the

Senate.

I will first give the list of subjects, which I should wish to see

introduced, and to the prosecution of which the generally admirable

course of the University is remarkably well adapted: and I will then,

without entering into every detail, advert to the process by which I

think it probable the introduction of these subjects could be

effected.

In the following list, the first head is purely algebraical, and the

second nearly so: but they are closely related to observational

science, and to the physical subjects which follow. Some of the

subjects which I exhibit on my list are partially, but in my opinion

imperfectly, taught at present. I entirely omit from my list Physical

Optics, Geometrical Astronomy, and Gravitational Astronomy of Points:

because, to the extent to which Academical Education ought to go, I

believe that there is no teaching on these sciences comparable to that

in the University of Cambridge. (It is, of course, still possible that

improvements may be made in the books commonly used.) It might,

however, be a question, whether, as regards the time and manner of

teaching them, some parts of these subjects might ultimately be

associated with the other subjects included in my list.

I. _List of subjects proposed for consideration_.

(1) Partial Differential Equations to the second order, with their

arbitrary functions: selected principally with reference to the

physical subjects.

(2) The Theory of Probabilities as applied to the combination of

Observations.

(3) Mechanics (including Hydraulic Powers) in the state which verges

upon practical application, and especially including that part in

which the abstract ideas of _power_ and _duty_ occur.

(4) Attractions. This subject is recognized in the existing course of

the University: but, so far as I can infer from examination-papers, it

appears to be very lightly passed over.

(5) The Figure of the Earth, and its consequences, Precession, &c. I

believe that the proposal is sanctioned, of adopting some part of this

theory in the ordinary course; but perhaps hardly so far as is

desirable.

(6) The Tides.

(7) Waves of Water.

(8) Sound (beginning with Newton's investigation); Echoes; Pipes and

Vibrating Strings; Acoustics; the Mathematical part of Music.

(9) Magnetism, terrestrial and experimental, and their connection.

(I omit for the present Mineralogy and Mathematical Electricity.)

This list of subjects appears formidable: but they are in reality

easy, and would be mastered in a short time by the higher Wranglers.

II. _Mode of introducing these subjects into the University_.

After much consideration, and after learning the opinions of several

persons whose judgment claims my deepest respect, I propose the

gradual introduction of these subjects into the Examination for Honors

at admission to the B.A. Degree, as soon as the preparation of Books

and the readiness of Examiners shall enable the University to take

that step. I conceive that, by a judicious pruning of the somewhat

luxuriant growth of Pure Algebra, Analytical Geometry, and Mere

Problems, sufficient leisure may be gained for the studies of the

undergraduates, and sufficient time for the questions of the

examiners. I do not contemplate that the students could advance very

far into the subjects; but I know the importance of beginning them;

and, judging from the train of thoughts, of reading, and of

conversation, among the Bachelors with whom I associated many years

ago, I believe that there is quite a sufficient number who will be

anxious to go deep into the subjects if they have once entered into

them. If six Wranglers annually would take them up, my point would be

gained. The part which these gentlemen might be expected, in a short

time, to take in the government of the University, would enable them

soon to act steadily upon the University course: the efficiency of the

University instruction would be increased; and the external character

of the University would be raised.

The real difficulties, and they are not light ones, would probably be

found in providing Examiners and Books. At present, both are wanting

within the University. Where there is a great and well-founded

objection to intrusting examinations to persons foreign to the

University, and where the books have to be created with labour and

with absolute outlay of money (for their sale could never be

remunerative), the progress must be slow. Still progress would be

certain, if the authorities of the University should think the matter

deserving of their hearty encouragement.

Requesting that you and the Members of the University will accept this

proposal as an indication of my deep attachment to my University,

I am,

My dear Mr Vice-Chancellor,

Your very faithful servant,

G.B. AIRY.

_The Rev. Dr Cartmell,

&c. &c.

Vice-Chancellor of the University of Cambridge_.

1867

"In this year it was arranged that my Treasury accounts were to be

transferred to the Admiralty, making the simplification which I had so

long desired.--From the Report to the Visitors it appears that a relic

of the Geodetic operations commenced in 1787 for connecting the

Observatories of Greenwich and Paris, in the shape of an observing

cabin on the roof of the Octagon Room, was shifted and supported in

such a manner that the pressure on the flat roof was entirely

avoided.--With regard to the Transit Circle, the new Collimators with

telescopes of seven inches aperture had been mounted. When the Transit

Telescope directed vertically is interposed, the interruptions in the

central cube impair the sharpness of definition, still leaving it

abundantly good for general use. It had been regarded as probable that

the astronomical flexure of the telescope, after cutting away small

portions of the central cube, would be found sensibly changed: and

this proved to be the case. The difference of flexures of the two ends

has been altered more than a second of arc.--Referring to a new

Portable Altazimuth which had lately been tested, the Report states as

follows: 'I may mention that a study of defects in the vertical circle

of a small Altazimuth formerly used by me, and an inspection of the

operations in the instrument-maker's work-shop, have convinced me that

the principal error to be feared in instruments of this class is

ovality of the graduated limb; this cannot be eliminated by two

microscopes, and such an instrument should never be fitted with two

only. Our instrument has four.'--'In Osler's Anemometer, a surface of

2 square feet is now exposed to the wind instead of one foot as

formerly; and the plate is supported by weak vertical springs instead

of rods running on rollers. Its indications are much more delicate

than formerly.'--'The Meteors on Nov. 14th were well observed. Eight

thousand and three hundred were registered. The variations of

frequency at different times were very well noted. The points of

divergence were carefully determined.'--Referring to the gradual

improvement in the steadiness of chronometers from 1851 to 1866, it

appears that from 1851 to 1854 the 'trial number' (which is a

combination of changes of weekly rate representing the fault of the

chronometer) varied from 34.8s to 52.5s, while from 1862 to 1866 it

varied from 21.2s to 25.8s.--The following statement will shew the

usual steadiness of the Great Clock on the Westminster Palace: On 38

per cent. of days of observation, the clock's error was below 1s. On

38 per cent, the error was between 1s and 2s. On 21 per cent. it was

between 2s and 3s. On 2 per cent. between 3s and 4s. On 1 per cent.

between 4s and 5s.--The Report contains an account of the

determination of the longitude of Cambridge U.S. by Dr B. A. Gould, by

means of galvanic currents through the Atlantic Cable, in the spring

of 1867: and advantage was taken of this opportunity for

re-determining the longitude of Feagh Main near Valencia in

Ireland. The longitude of Feagh Main, found by different methods is as

follows: By chronometers in 1844, 41m 23.23s; by galvanic

communication with Knight's Town in 1862, 41m 23.37s; by galvanic

communication with Foilhommerum in 1866, 41m 23.19s. The collected

results for longitude of Cambridge U.S. from different sources are: By

moon-culminators (Walker in 1851, and Newcomb in 1862-3), 4h 44m

28.42s and 4h 44m 29.56s respectively; by Eclipses (Walker in 1851),

4h 44m 29.64s; by occultations of Pleiades (Peirce 1838-1842, and

1856-1861), 4h 44m 29.91s and 4h 44m 30.90s respectively; by

chronometers (W. C. Bond in 1851, and G. P. Bond in 1855), 4h 44m

30.66s and 4h 44m 31.89s respectively; by Atlantic Cable 1866, 4h 44m

30.99s.--After noticing that many meteorological observatories had

suddenly sprung up and had commenced printing their observations in

detail, the Report continues thus: 'Whether the effect of this

movement will be that millions of useless observations will be added

to the millions that already exist, or whether something may be

expected to result which will lead to a meteorological theory, I

cannot hazard a conjecture. This only I believe, that it will be

useless, at present, to attempt a process of mechanical theory; and

that all that can be done must be, to connect phenomena by laws of

induction. But the induction must be carried out by numerous and

troublesome trials in different directions, the greater part of which

would probably be failures.'--There was this year an annular eclipse;

I made large preparations at the limits of the annularity; failed

entirely from very bad weather."--In this year Airy contributed a

Paper to the Institution of Civil Engineers 'On the use of the

Suspension Bridge with stiffened roadway for Railway and other Bridges

of Great Span,' for which a Telford Medal was awarded to him by the

Council of the Institution. And he communicated several Papers to the

Royal Society and the Royal Astronomical Society.

Of private history: There was the usual visit to Playford in

January.--In April there was a short run to Alnwick and the

neighbourhood, in company with Mr and Mrs Routh.--From June 27th to

July 4th he was in Wales with his two eldest sons, visiting Uriconium,

&c. on his return.--From August 8th to Sept. 7th he spent a holiday in

Scotland and the Lake District of Cumberland with his daughter

Christabel, visiting the Langtons at Barrow House, near Keswick, and

Isaac Fletcher at Tarn Bank.

In June of this year (1867) Airy was elected an Honorary Fellow of his

old College of Trinity in company with Connop Thirlwall, the Bishop of

St David's. They were the first Honorary Fellows elected by the

College. The announcement was made in a letter from the Master of

Trinity (W.H. Thompson), and Airy's reply was as follows:

ROYAL OBSERVATORY, GREENWICH,

LONDON, S.E.

_1867, June 12th_.

MY DEAR MASTER,

I am very much gratified by your kind note received this morning,

conveying to me the notice that the Master and Sixteen Senior Fellows

had elected me, under their new powers, as Honorary Fellow of the

College.

It has always been my wish to maintain a friendly connection with my

College, and I am delighted to receive this response from the

College. The peculiar form in which the reference to the Statute

enables them to put it renders it doubly pleasing.

As the Statute is new, I should be obliged by a copy of it. And, at

any convenient time, I should be glad to know the name of the person

with whom I am so honorably associated.

I am, My dear Master,

Very faithfully yours,

G.B. AIRY.

* * * * *

Consequent on Airy's proposals in 1866 for the introduction of new

physical subjects into the Senate-House Examination and his desire

that the large number of questions set in Pure Mathematics, or as he

termed it "Useless Algebra," should be curtailed, there was a smart

and interesting correspondence between him and Prof. Cayley, who was

the great exponent and advocate of Pure Mathematics at Cambridge. Both

of them were men of the highest mathematical powers, but diametrically

opposed in their views of the use of Mathematics. Airy regarded

mathematics as simply a useful machine for the solution of practical

problems and arriving at practical results. He had a great respect for

Pure Mathematics and all the processes of algebra, so far as they

aided him to solve his problems and to arrive at useful results; but

he had a positive aversion to mathematical investigations, however

skilful and elaborate, for which no immediate practical value could be

claimed. Cayley on the contrary regarded mathematics as a useful

exercise for the mind, apart from any immediate practical object, and

he considered that the general command of mathematics gained by

handling abstruse mathematical investigations (though barren in

themselves) would be valuable for whatever purpose mathematics might

be required: he also thought it likely that his researches and

advances in the field of Pure Mathematics might facilitate the

solution of physical problems and tend to the progress of the

practical sciences. Their different views on this subject will be

seen from the letters that follow:

ROYAL OBSERVATORY, GREENWICH,

LONDON, S.E.

_1867, Nov. 8_.

MY DEAR SIR,

I think it best to put in writing the purport of what I have said, or

have intended to say, in reference to the Mathematical Studies in the

University.

First, I will remark on the study of Partial Differential Equations.

I do not know that one branch of Pure Mathematics can be considered

higher than another, except in the utility of the power which it

gives. Measured thus, the Partial Differential Equations are very

useful and therefore stand very high, as far as the Second Order.

They apply, to that point, in the most important way, to the great

problems of nature concerning _time_, and _infinite division of

matter_, and _space_: and are worthy of the most careful study. Beyond

that Order they apply to nothing. It was for the purpose of limiting

the study to the Second Order, and at the same time working it

carefully, philosophically, and practically, up to that point, that I

drew up my little work.

On the general question of Mathematical Studies, I will first give my

leading ideas on what I may call the moral part. I think that a heavy

responsibility rests on the persons who influence most strongly the

course of education in the University, to direct that course in the

way in which it will be most useful to the students--in the two ways,

of disciplining their powers and habits, and of giving them scientific

knowledge of the highest and most accurate order (applying to the

phenomena of nature) such as will be useful to them through life. I do

not think that the mere personal taste of a teacher is sufficient

justification for a special course, unless it has been adopted under a

consideration of that responsibility. Now I can say for myself that I

have, for some years, inspected the examination papers, and have

considered the bearing of the course which they imply upon the

education of the student, and am firmly convinced that as regards men

below the very few first--say below the ten first--there is a

prodigious loss of time without any permanent good whatever. For the

great majority of men, such subjects as abstract Analytical Geometry

perish at once. With men like Adams and Stokes they remain, and are

advantageous; but probably there is not a single man (beside them) of

their respective years who remembers a bit, or who if he remembers

them has the leisure and other opportunities of applying them.

I believe on the other hand that a careful selection of physical

subjects would enable the University to communicate to its students a

vast amount of information; of accurate kind and requiring the most

logical treatment; but so bearing upon the natural phenomena which are

constantly before us that it would be felt by every student to possess

a real value, that (from that circumstance) it would dwell in his

mind, and that it would enable him to correct a great amount of flimsy

education in the country, and, so far, to raise the national

character.

The consideration of the education of the reasoning habits suggests

ideas far from favourable to the existing course. I am old enough to

remember the time of mere geometrical processes, and I do not hesitate

to say that for the cultivation of accurate mental discipline they

were far superior to the operations in vogue at the present day. There

is no subject in the world more favourable to logical habit than the

Differential Calculus in all its branches _if logically worked in its

elements_: and I think that its applications to various physical

subjects, compelling from time to time an attention to the elementary

grounds of the Calculus, would be far more advantageous to that

logical habit than the simple applications to Pure Equations and Pure

Algebraical Geometry now occupying so much attention.

I am, my dear Sir,

Yours very truly,

G.B. AIRY.

_Professor Cayley_.

* * * * *

DEAR SIR,

I have been intending to answer your letter of the 8th November. So

far as it is (if at all) personal to myself, I would remark that the

statutory duty of the Sadlerian Professor is that he shall explain and

teach the principles of Pure Mathematics and apply himself to the

advancement of the Science.

As to Partial Differential Equations, they are "high" as being an

inverse problem, and perhaps the most difficult inverse problem that

has been dealt with. In regard to the limitation of them to the second

order, whatever other reasons exist for it, there is also the reason

that the theory to this order is as yet so incomplete that there is no

inducement to go beyond it; there could hardly be a more valuable step

than anything which would give a notion of the form of the general

integral of a Partial Differential Equation of the second order.

I cannot but differ from you _in toto_ as to the educational value of

Analytical Geometry, or I would rather say of Modern Geometry

generally. It appears to me that in the Physical Sciences depending on

Partial Differential Equations, there is scarcely anything that a

student can do for himself:--he finds the integral of the ordinary

equation for Sound--if he wishes to go a step further and integrate

the non-linear equation (dy/dx)²(d²y/dt²) = a²(d²y/dx²) he is simply

unable to do so; and so in other cases there is nothing that he can

add to what he finds in his books. Whereas Geometry (of course to an

intelligent student) is a real inductive and deductive science of

inexhaustible extent, in which he can experiment for himself--the very

tracing of a curve from its equation (and still more the consideration

of the cases belonging to different values of the parameters) is the

construction of a theory to bind together the facts--and the selection

of a curve or surface proper for the verification of any general

theorem is the selection of an experiment in proof or disproof of a

theory.

I do not quite understand your reference to Stokes and Adams, as types

of the men who alone retain their abstract Analytical Geometry. If a

man when he takes his degree drops mathematics, he drops geometry--but

if not I think for the above reasons that he is more likely to go on

with it than with almost any other subject--and any mathematical

journal will shew that a very great amount of attention is in fact

given to geometry. And the subject is in a very high degree a

progressive one; quite as much as to Physics, one may apply to it the

lines, Yet I doubt not thro' the ages one increasing purpose runs, and

the thoughts of men are widened with the progress of the suns.

I remain, dear Sir,

Yours very sincerely,

A. CAYLEY.

CAMBRIDGE,

_6 Dec., 1867_.

* * * * *

ROYAL OBSERVATORY, GREENWICH,

LONDON, S.E.

_1867, December 9_.

MY DEAR SIR,

I have received with much pleasure your letter of December 6. In this

University discussion, I have acted only in public, and have not made

private communication to any person whatever till required to do so by

private letter addressed to me. Your few words in Queens' Hall seemed

to expect a little reply.

Now as to the Modern Geometry. With your praises of this science--as

to the room for extension in induction and deduction, &c.; and with

your facts--as to the amount of space which it occupies in

Mathematical Journals; I entirely agree. And if men, after leaving

Cambridge, were designed to shut themselves up in a cavern, they could

have nothing better for their subjective amusement. They might have

other things as good; enormous complication and probably beautiful

investigation might be found in varying the game of billiards with

novel islands on a newly shaped billiard table. But the persons who

devote themselves to these subjects do thereby separate themselves

from the world. They make no step towards natural science or

utilitarian science, the two subjects which the world specially

desires. The world could go on as well without these separatists.

Now if these persons lived only for themselves, no other person would

have any title to question or remark on their devotion to this barren

subject. But a Cambridge Examiner is not in that position. The

University is a national body, for education of young men: and the

power of a Cambridge Examiner is omnipotent in directing the education

of the young men; and his responsibility to the cause of education is

very distinct and very strong. And the question for him to consider

is--in the sense in which mathematical education is desired by the

best authorities in the nation, is the course taken by this national

institution satisfactory to the nation?

I express my belief that it is _not_ satisfactory. I believe that many

of the best men of the nation consider that a great deal of time is

lost on subjects which they esteem as puerile, and that much of that

time might be employed on noble and useful science.

You may remember that the Commissions which have visited Cambridge

originated in a Memorial addressed to the Government by men of

respected scientific character: Sabine was one, and I may take him as

the representative. He is a man of extensive knowledge of the

application of mathematics as it has been employed for many years in

the science of the world; but he has no profundity of science. He, as

I believe, desired to find persons who could enter accurately into

mathematical science, and naturally looked to the Great Mathematical

University; but he must have been much disappointed. So much time is

swallowed up by the forced study of the Pure Mathematics that it is

not easy to find anybody who can really enter on these subjects in

which men of science want assistance. And so Sabine thought that the

Government ought to interfere, probably without any clear idea of what

they could do.

I am, my dear Sir,

Yours very truly,

G.B. AIRY.

_Professor Cayley_.

* * * * *

DEAR SIR,

I have to thank you for your last letter. I do not think everything

should be subordinated to the educational element: my idea of a

University is that of a place for the cultivation of all

science. Therefore among other sciences Pure Mathematics; including

whatever is interesting as part of this science. I am bound therefore

to admit that your proposed extension of the problem of billiards, _if

it_ were found susceptible of interesting mathematical developments,

would be a fit subject of study. But in this case I do not think the

problem could fairly be objected to as puerile--a more legitimate

objection would I conceive be its extreme speciality. But this is not

an objection that can be brought against Modern Geometry as a whole:

in regard to any particular parts of it which may appear open to such

an objection, the question is whether they are or are not, for their

own sakes, or their bearing upon other parts of the science to which

they belong, worthy of being entered upon and pursued.

But admitting (as I do not) that Pure Mathematics are only to be

studied with a view to Natural and Physical Science, the question

still arises how are they best to be studied in that view. I assume

and admit that as to a large part of Modern Geometry and of the Theory

of Numbers, there is no present probability that these will find any

physical applications. But among the remaining parts of Pure

Mathematics we have the theory of Elliptic Functions and of the

Jacobian and Abelian Functions, and the theory of Differential

Equations, including of course Partial Differential Equations. Now

taking for instance the problem of three bodies--unless this is to be

gone on with by the mere improvement in detail of the present

approximate methods--it is at least conceivable that the future

treatment of it will be in the direction of the problem of two fixed

centres, by means of elliptic functions, &c.; and that the discovery

will be made not by searching for it directly with the mathematical

resources now at our command, but by "prospecting" for it in the field

of these functions. Even improvements in the existing methods are more

likely to arise from a study of differential equations in general than

from a special one of the equations of the particular problem: the

materials for such improvements which exist in the writings of

Hamilton, Jacobi, Bertrand, and Bour, have certainly so arisen. And

the like remarks would apply to the physical problems which depend on

Partial Differential Equations.

I think that the course of mathematical study at the University is

likely to be a better one if regulated with a view to the cultivation

of Science, as if for its own sake, rather than directly upon

considerations of what is educationally best (I mean that the best

educational course will be so obtained), and that we have thus a

justification for a thorough study of Pure Mathematics. In my own

limited experience of examinations, the fault which I find with the

men is a want of analytical power, and that whatever else may have

been in defect Pure Mathematics has certainly not been in excess.

I remain, dear Sir,

Yours sincerely,

A. CAYLEY.

CAMBRIDGE,

_10th Dec., 1867_.

* * * * *

_1867, December 17_.

MY DEAR SIR,

Since receiving your letter of 9th I positively have not had time to

express the single remark which I proposed to make on it.

You state your idea that the educational element ought not to be the

predominating element in the University. "I do not think that every

thing should be subordinated to the educational element." I cannot

conceal my surprise at this sentiment. Assuredly the founders of the

Colleges intended them for education (so far as they apply to persons

in statu pupillari), the statutes of the University and the Colleges

are framed for education, and fathers send their sons to the

University for education. If I had not had your words before me, I

should have said that it is impossible to doubt this.

It is much to be desired that Professors and others who exercise no

control by force should take every method, not only of promoting

science in themselves, but also of placing the promoted science before

students: and it is much to be desired that students who have passed

the compulsory curriculum should be encouraged to proceed into the

novelties which will be most agreeable to them. But this is a totally

different thing from using the Compulsory Force of Examination to

drive students in paths traced only by the taste of the examiner. For

them, I conceive the obligation to the nation and the duty to follow

the national sense on education (as far as it can be gathered from its

best representatives) to be undoubted; and to be, in the intensity of

the obligation and duty, most serious.

I am, my dear Sir,

Yours very truly,

G.B. AIRY.

_Professor Cayley_.

* * * * *

1868

"In the South-East Dome, the alteration proposed last year for

rendering the building fire-proof had been completely carried out. The

middle room, which was to be appropriated to Chronometers, was being

fitted up accordingly.--From the Report it appears that 'our

subterranean telegraph wires were all broken by one blow, from an

accident in the Metropolitan Drainage Works on Groom's Hill, but were

speedily repaired.'--In my office as Chairman of successive

Commissions on Standards, I had collected a number of Standards, some

of great historical value (as Ramsden's and Roy's Standards of Length,

Kater's Scale-beam for weighing great weights, and others), &c. These

have been transferred to the newly-created Standards Department of the

Board of Trade."--In the Report is given a detailed account of the

system of preserving and arranging the manuscripts and correspondence

of the Observatory, which was always regarded by Airy as a matter of

the first importance.--From a careful discussion of the results of

observation Mr Stone had concluded that the refractions ought to be

diminished. 'Relying on this, we have now computed our mean

refractions by diminishing those of Bessel's Fundamenta in the

proportion of 1 to 0.99797.'--The Magnetometer-Indications for the

period 1858-1863 had been reduced and discussed, with remarkable

results. It is inferred that magnetic disturbances, both solar and

lunar, are produced mediately by the Earth, and that the Earth in

periods of several years undergoes changes which fit it and unfit it

for exercising a powerful mediate action.--The Earth-current records

had been reduced, and the magnetic effect which the currents would

produce had been computed. The result was, that the agreement between

the magnetic effects so computed and the magnetic disturbances really

recorded by the magnetometers was such as to leave no doubt on the

general validity of the explanation of the great storm-disturbances of

the magnets as consequences of the galvanic currents through the

earth.--Referring to the difficulty experienced in making the

meteorological observations practically available the Report states

thus: 'The want of Meteorology, at the present time, is principally in

suggestive theory.'--In this year Airy communicated to the Royal

Astronomical Society a Paper 'On the Preparatory Arrangements for the

Observation of the Transits of Venus 1874 and 1882': this subject was

now well in hand.--The First Report of the Commissioners (of whom he

was Chairman) appointed to enquire into the condition of the Exchequer

Standards was printed: this business took up much time.--He was in

this year much engaged on the Coinage Commission.

Of private history: There was the usual winter visit to Playford, and

a short visit to Cambridge in June.--From about Aug. 1st to Sept. 3rd

he was travelling in Switzerland with his youngest son and his two

youngest daughters. In the course of this journey they visited

Zermatt. There had been much rain, the rivers were greatly flooded,

and much mischief was done to the roads. During the journey from Visp

to Zermatt, near St Nicholas, in a steep part of the gorge, a large

stone rolled from the cliffs and knocked their baggage horse over the

lower precipice, a fall of several hundred feet. The packages were all

burst, and many things were lost, but a good deal was recovered by men

suspended by ropes.

In this year also Airy was busy with the subject of University

Examination, which in previous years had occupied so much of his

attention, as will be seen from the following letters:

ROYAL OBSERVATORY, GREENWICH,

LONDON, S.E.

_1868, March 12_.

MY DEAR MASTER,

I have had the pleasure of corresponding with you on matters of

University Examination so frequently that I at once turn to you as the

proper person to whom I may address any remarks on that important

subject.

Circumstances have enabled me lately to obtain private information of

a most accurate kind on the late Mathematical Tripos: and among other

things, I have received a statement of every individual question

answered or partly answered by five honour-men. I have collected the

numbers of these in a small table which I enclose.

I am struck with the _almost_ nugatory character of the five days'

honour examination as applied to Senior Optimes, and I do not doubt

that it is _totally_ nugatory as applied to Junior Optimes. It appears

to me that, for all that depends on these days, the rank of the

Optimes is mere matter of chance.

In the examinations of the Civil Service, the whole number of marks is

published, and also the number of marks gained by each candidate. I

have none of their papers at hand, but my impression is that the

lowest candidates make about 1 in 3; and the fair candidates about 2

in 3, instead of 1 in 10 or 1 in 13 as our good Senior Optimes.

I am, my dear Master,

Very truly yours,

G.B. AIRY.

_The Rev. Dr Cookson,

Master of St Peters College,

&c. &c._

The Table referred to in the above letter is as follows:

Number of Questions, and numbers of Answers to Questions as given by

several Wranglers and Senior Optimes, in the Examination of

Mathematical Tripos for Honours, 1868, January 13, 14, 15, 16, 17.

Number of Questions and Riders in the Printed Papers.

Questions. Riders. Aggregate.

In the 10 Papers of the 5 days 123 101 224

NUMBER OF QUESTIONS AND RIDERS ANSWERED.

Questions. Riders. Aggregate.

By a Wrangler, between the

1st and 7th 69-1/2 25-1/2 95 1 in 2.36

By a Wrangler, between the

12th and 22nd 48-1/2 12-1/2 61 1 in 3.68

By a Wrangler, between the

22nd and 32nd 36 12-1/2 48-1/2 1 in 4.62

By a Sen. Opt. between the

1st and 10th 17-1/2 5 22-1/2 1 in 9.95

By a Sen. Opt. between the

10th and 20th 14-1/2 2 16-1/2 1 in 3.60

G.B. AIRY.

_1868, March 12_.

* * * * *

ST PETER'S COLLEGE LODGE, CAMBRIDGE,

_March 13th, 1868_.

MY DEAR SIR,

I am much obliged by your letter and enclosed paper.

Anything done in the last five days by a Junior Optime only shews

(generally) that he has been employing some of his time

_mischievously_, for he must have been working at subjects which he is

quite unable to master or cramming them by heart on the chance of

meeting with a stray question which he may answer.

The chief part of the Senior Optimes are in something of the same

situation.

I think that the proposed addition of a day to the first part of the

Examination, in which "easy questions in physical subjects" may be

set, is, on this account, a great improvement.

Our new Scheme comes on for discussion on Friday next, March 20, at 2

p.m. in the Arts School. It is much opposed by private tutors,

examiners and others, and may possibly be thrown out in the Senate

this year, though I hope that with a little patience it may be

carried, in an unmutilated form, eventually.

The enclosed Report on the Smith's Prize Examination will be discussed

at the same time.

I will consider what is best to be done on the subject to which your

note refers, without delay. With many thanks,

I am,

Very faithfully yours,

H.W. COOKSON,

_The Astronomer Royal._

* * * * *

In this year certain Members of the Senate of the University of

Cambridge petitioned Parliament against the abolition of religious

declarations required of persons admitted to Fellowships or proceeding

to the degree of M.A. The document was sent to Airy for his signature,

and his reply was as follows:

ROYAL OBSERVATORY, GREENWICH,

LONDON, S.E.

_1868, March 18_.

MY DEAR SIR,

Though I sympathize to a great extent with the prayer of the petition

to Parliament which you sent to me yesterday, and assent to most of

the reasons, I do not attach my signature to it, for the following

considerations:

1. I understand, from the introductory clause, and from the

unqualified character of the phrase "any such measures" in the second

clause, that the petition objects to granting the M.A. degree without

religious declaration. I do not see any adequate necessity for this

objection, and I cannot join in it.

2. It appears to me that the Colleges were intended for two collateral

objects:--instruction by part of the Fellows, on a religious basis;

and support of certain Fellows for scientific purposes, without the

same ostentatious connection with religion. I like this spirit well,

and should be glad to maintain it.

3. I therefore think (as I have publicly stated before) that the

Master of the College ought to be in holy orders; and so ought those

of the Fellows who may be expected to be usually resident and to take

continuous part in the instruction. But there are many who, upon

taking a fellowship, at once lay aside all thoughts of this: and I

think that such persons ought not to be trammelled with declarations.

4. My modification of existing regulations, if it once got into shape,

would I dare say be but a small fraction of that proposed by the

"measures in contemplation." Still I do not like to join in

unqualified resistance to interference in the affairs of the

Established Colleges, with that generality of opposition to

interference which the petition seems to intimate.

I agree with articles 3, 4, and 5; and I am pleased with the graceful

allusion in article 4 to the assistance which has been rendered by the

Colleges, and by none perhaps so honourably as Trinity, to the

parishes connected with it. And I could much wish that the spirit of 3

and 5 could be carried out, with some concession to my ideas in _my_

paragraph 3, above.

I am, my dear Sir,

Yours very truly,

G.B. AIRY.

_Rev. Dr Lightfoot._

* * * * *

1869

From the Report to the Board of Visitors it appears that application

had been made for an extension of the grounds of the Observatory to a

distance of 100 feet south of the Magnetic Ground, and that a Warrant

for the annexation of this space was signed on 1868, Dec. 8. The new

Depôt for the Printed Productions of the Observatory had been

transferred to its position in the new ground, and the foundations for

the Great Shed were completed.--"The courses of our wires for the

registration of spontaneous terrestrial galvanic currents have been

entirely changed. The lines to Croydon and Deptford are abandoned; and

for these are substituted, a line from Angerstein Wharf to Lady Well

Station, and a line from North Kent Junction to Morden College

Tunnel. At each of these points the communication with Earth is made

by a copper plate 2 feet square. The straight line connecting the

extreme points of the first station intersects that connecting the two

points of the second station, nearly at right angles, and at little

distance from the Observatory.--The question of dependence of the

measurable amount of sidereal aberration upon the thickness of glass

or other transparent material in the telescope (a question which

involves, theoretically, one of the most delicate points in the

Undulatory Theory of Light) has lately been agitated on the Continent

with much earnestness. I have calculated the curvatures of the lenses

of crown and flint glass (the flint being exterior) for correcting

spherical and chromatic aberration in a telescope whose tube is filled

with water, and have instructed Mr Simms to proceed with the

preparation of an instrument carrying such a telescope. I have not

finally decided whether to rely on Zenith-distances of gamma Draconis

or on right-ascensions of Polaris. In any form the experiment will

probably be troublesome.--The transit of Mercury on 1868, Nov. 4th,

was observed by six observers. The atmospheric conditions were

favourable; and the singular appearances usually presented in a

planetary transit were well seen.--Mr Stone has attached to the

South-East Equatoreal a thermo-multiplier, with the view of examining

whether heat radiating from the principal stars can be made sensible

in our instruments. The results hitherto obtained are encouraging, but

they shew clearly that it is vain to attempt this enquiry except in

the most superb weather; and there has not been a night deserving that

epithet for some months past.--The preparations for observing the

Transits of Venus were now begun in earnest. I had come to the

conclusion, that after every reliance was placed on foreign and

colonial observatories, it would be necessary for the British

Government to undertake the equipment of five or six temporary

stations. On Feb. 15th I sent a pamphlet on the subject to Mr Childers

(First Lord of Admiralty), and in April I wrote to the Secretary,

asking authority for the purchase of instruments. On June 22nd

authority is given to me for the instruments: the Treasury assent to

_£10,500_. On August 9th I had purchased 3 equatoreals.--I have given

a short course of Lectures in the University of Cambridge on the

subject of Magnetism, with the view of introducing that important

physical science into the studies of the University. The want of books

available to Students, and the novelty of the subject, made the

preparation more laborious than the duration of the lectures would

seem to imply."--In this year there was much work on the Standards

Commission, chiefly regarding the suggested abolition of Troy Weight,

and several Papers on the subject were prepared by Airy.--He also

wrote a long and careful description of the Great Equatoreal at

Greenwich.

Of private history: There was the usual visit to Playford in the

winter. Mrs Airy was now becoming feebler, and did not now leave

Greenwich: since April of this year her letters were written in

pencil, and with difficulty, but she still made great efforts to keep

up the accustomed correspondence.--In April Airy went to Cambridge to

deliver his lectures on magnetism to the undergraduates: the following

passage occurs in one of his letters at this time: "I have a mighty

attendance (there were 147 names on my board yesterday), and, though

the room is large with plenty of benches, I have been obliged to bring

in some chairs. The men are exceedingly attentive, and when I look up

I am quite struck to see the number of faces staring into mine. I go

at 12, and find men at the room copying from my big papers: I lecture

from 1 to 2, and stop till after 3, and through the last hour some men

are talking to me and others are copying from the papers; and I

usually leave some men still at work. The men applaud and shew their

respect very gracefully. There are present some two or three persons

who attended my former lectures, and they say that I lecture exactly

as I did formerly. One of my attendants is a man that they say cannot,

from years and infirmity and habit, be induced to go anywhere else: Dr

Archdall, the Master of Emmanuel. I find that some of my old

lecturing habits come again on me. I drink a great deal of cold water,

and am very glad to go to bed early."--From June 10th-30th he was

travelling in Scotland, and staying at Barrow House near Keswick (the

residence of Mr Langton), with his son Hubert.--Subsequently, from

Aug. 17th to 31st, he was again in the Lake District, with his

daughter Christabel, and was joined there by his son Hubert on the

24th. The first part of the time was spent at Tarn Bank, near

Carlisle, the residence of Mr Isaac Fletcher, M.P. From thence he made

several expeditions, especially to Barrow in Furness and Seascale,

where he witnessed with great interest the Bessemer process of making

steel. From Barrow House he made continual excursions among the

Cumberland mountains, which he knew so well.

1870

"In this year Mr Stone, the First Assistant, was appointed to the Cape

of Good Hope Observatory, and resigned his post of First Assistant. Mr

Christie was appointed in his place.--From the Report to the Visitors

it appears that 'A few months since we were annoyed by a failure in

the illumination of the field of view of the Transit Circle. The

reflector was cleaned, but in vain; at last it was discovered that one

of the lenses (the convex lens) of the combination which forms the

object-glass of a Reversed Telescope in the interior of the

Transit-axis, and through which all illuminating light must pass, had

become so corroded as to be almost opaque.'--The South-East Equatoreal

has been partly occupied with the thermo-multiplier employed by Mr

Stone for the measure of heat radiating from the principal stars. Mr

Stone's results for the radiation from Arcturus and alpha Lyrae appear

to be incontrovertible, and to give bases for distinct numerical

estimation of the radiant heat of these stars.--In my last Report I

alluded to a proposed systematic reduction of the meteorological

observations during the whole time of their efficient

self-registration. Having received from the Admiralty the funds

necessary for immediate operations, I have commenced with the

photographic registers of the thermometers, dry-bulb and wet-bulb,

from 1848 to 1868.--Our chronometer-room contains at present 219

chronometers, including 37 chronometers which have been placed here by

chronometer-makers as competing for the honorary reputation and the

pecuniary advantages to be derived from success in the half-year's

trial to which they are subjected. I take this opportunity of stating

that I have uniformly advocated the policy of offering good prices for

the chronometers of great excellence, and that I have given much

attention to the decision on their merits; and I am convinced that

this system has greatly contributed to the remarkably steady

improvement in the performance of chronometers. In the trial which

terminated in August 1869, the best chronometers (taking as usual the

average of the first six) were superior in merit to those of any

preceding year.--With the funds placed at my disposal for the Transit

of Venus 1874 I purchased three 6-inch equatoreals, and have ordered

two: I have also ordered altazimuths (with accurate vertical circles

only), and clocks sufficient, as I expect, to equip five stations. For

methods of observation, I rely generally on the simple

eye-observation, possibly relieved of some of its uncertainty by the

use of my colour-correcting eyepiece. But active discussion has taken

place on the feasibility of using photographic and spectroscopic

methods; and it will not be easy for some time to announce that the

plan of observations is settled.--There can be no doubt, I imagine,

that the first and necessary duty of the Royal Observatory is to

maintain its place well as an Observing Establishment; and that this

must be secured, at whatever sacrifice, if necessary, of other

pursuits. Still the question has not unfrequently presented itself to

me, whether the duties to which I allude have not, by force of

circumstances, become too exclusive; and whether the cause of Science

might not gain if, as in the Imperial Observatory of Paris for

instance, the higher branches of mathematical physics should not take

their place by the side of Observatory routine. I have often felt the

desire practically to refresh my acquaintance with what were once

favourite subjects: Lunar Theory and Physical Optics. But I do not at

present clearly see how I can enter upon them with that degree of

freedom of thought which is necessary for success in abstruse

investigations."

Of private history: There was a longer visit than usual to Playford,

lasting till Jan. 27th.--In April he made a short excursion (of less

than a week) with his son Hubert to Monmouth, &c.--From June 14th to

July 2nd he was staying at Barrow House, near Keswick, with his son

Hubert: during this time he was much troubled with a painful

skin-irritation of his leg and back, which lasted in some degree for a

long time afterwards.--From Sept. 25th to Oct. 6th he made an

excursion with his daughter Christabel to Scarborough, Whitby, &c.,

and again spent a few days at Barrow House.

1871

"In April 1870 the Assistants had applied for an increase of salary, a

request which I had urged strongly upon the Admiralty. On Jan. 27 of

this year the Admiralty answered that, on account of Mr Childers's

illness, the consideration must be deferred to next year! The

Assistants wrote bitterly to me: and with my sanction they wrote to

the First Lord. On Jan. 31st I requested an interview with Mr Baxter

(secretary of the Admiralty), and saw him on Feb. 3rd, when I obtained

his consent to an addition of _£530_. There was still a difficulty

with the Treasury, but on June 27th the liberal scale was

allowed.--Experiments made by Mr Stone shew clearly that a local

elevation, like that of the Royal Observatory on the hill of Greenwich

Park, has no tendency to diminish the effect of railway tremors.--The

correction for level error in the Transit Circle having become

inconveniently large, a sheet of very thin paper, 1/270 inch in

thickness, was placed under the eastern Y, which was raised from its

bed for the purpose. The mean annual value of the level-error appears

to be now sensibly zero.--As the siege and war operations in Paris

seriously interfered with the observations of small planets made at

the Paris Observatory, observations of them were continued at

Greenwich throughout each entire lunation during the investment of the

city.--The new Water-Telescope has been got into working order, and

performs most satisfactorily. Observations of gamma Draconis have been

made with it, when the star passed between 20h and 17h, with some

observations for adjustment at a still more advanced time. As the

astronomical latitude of the place of observation is not known, the

bearing of these observations on the question of aberration cannot be

certainly pronounced until the autumn observations shall have been

made; but supposing the geodetic latitude to be accordant with the

astronomical latitude, the result for aberration appears to be

sensibly the same as with ordinary telescopes.--Several years since, I

prepared a barometer, by which the barometric fluctuations were

enlarged, for the information of the public; its indications are

exhibited on the wall, near to the entrance gate of the Observatory. A

card is now also exhibited, in a glass case near the public barometer,

giving the highest and lowest readings of the thermometer in the

preceding twenty-four hours.--Those who have given attention to the

history of Terrestrial Magnetism are aware that Halley's Magnetic

Chart is very frequently cited; but I could not learn that any person,

at least in modern times, had seen it. At last I discovered a copy in

the library of the British Museum, and have been allowed to take

copies by photolithography. These are appended to the Magnetical and

Meteorological Volume for 1869.--The trials and certificates of

hand-telescopes for the use of the Royal Navy have lately been so

frequent that they almost become a regular part of the work of the

Observatory. I may state here that by availing myself of a theory of

eyepieces which I published long since in the Cambridge Transactions,

I have been able to effect a considerable improvement in the

telescopes furnished to the Admiralty.--The occurrence of the Total

Eclipse of the Sun in December last has brought much labour upon the

Observatory. As regards the assistants and computers, the actual

observation on a complicated plan with the Great Equatoreal (a plan

for which few equatoreals are sufficiently steady, but which when

properly carried out gives a most complete solution of the geometrical

problem) has required, in observation and in computation, a large

expenditure of time.--My preparations for the Transit of Venus have

respect only to eye-observation of contact of limbs. With all the

liabilities and defects to which it is subject, this method possesses

the inestimable advantage of placing no reliance on instrumental

scales. I hope that the error of observation may not exceed four

seconds of time, corresponding to about 0.13" of arc. I shall be very

glad to see, in a detailed form, a plan for making the proper measures

by heliometric or photographic apparatus; and should take great

interest in combining these with the eye-observations, if my selected

stations can be made available. But my present impression is one of

doubt on the certainty of equality of parts in the scale employed. An

error depending on this cause could not be diminished by any

repetition of observations."--After referring to the desirability of

vigorously prosecuting the Meteorological Reductions (already begun)

and of discussing the Magnetic Observations, the Report concludes

thus: "There is another consideration which very often presents itself

to my mind; the waste of labour in the repetition of observations at

different observatories..... I think that this consideration ought not

to be put out of sight in planning the courses of different

Observatories."--In this year De Launay's Lunar Theory was

published. This valuable work was of great service to Airy in the

preparation of the Numerical Lunar Theory, which he subsequently

undertook.--In the latter part of this year Airy was elected President

of the Royal Society, and held the office during 1872 and 1873. At

this time he was much pressed with work, and could ill afford to take

up additional duties, as the following quotation from a letter to one

of his friends shews: "The election to the Presidency of R.S. is

flattering, and has brought to me the friendly remembrances of many

persons; but in its material and laborious connections, I could well

have dispensed with it, and should have done so but for the respectful

way in which it was pressed on me."

Of private history: There was the usual winter visit to Playford.--In

April he made a short trip to Cornwall with his daughter Annot.--In

June he was appointed a Companion of the Bath, and was presented at

Court on his appointment.--Mrs Airy was staying with her daughter, Mrs

Routh, at Hunstanton, during June, her state of health being somewhat

improved.--From August 1st to 28th he was chiefly in Cumberland, at

Barrow House, and at Grange, Borrowdale, where his son Osmund was

staying for a holiday.

1872

"From the Report to the Board of Visitors it appears that 'The Normal

Siderial Clock for giving sidereal time by galvanic communication to

the Astronomical Observatory was established in the Magnetic Basement

in 1871, June; that locality being adapted for it on account of the

uniformity of temperature, the daily changed of temperature rarely

exceeding 1° Fahrenheit. Its escapement is one which I suggested many

years ago in the Cambridge Transactions; a detached escapement, very

closely analogous to the ordinary chronometer escapement, the pendulum

receiving an impulse only at alternate vibrations.... The steadiness

of rate is very far superior to any that we have previously

attained.'--The aspect of railway enterprise is at present favourable

to the Park and to the Observatory. The South-Eastern Railway Company

has made an arrangement with the Metropolitan Board of Works for

shifting the course of the great Southern Outfall Sewer. This enables

the Company to trace a new line for the railway, passing on the north

side of London Street, at such a distance from the Observatory as to

remove all cause of alarm. I understand that the Bill, which was

unopposed, has passed the Committee of the House of Commons. I trust

that the contest, which has lasted thirty-seven years, is now

terminated.--The observations of 7 Draconis with the Water-Telescope,

made in the autumn of 1871, and the spring of 1872, are reduced, the

latter only in their first steps.... Using the values of the level

scales as determined by Mr Simms (which I have no reason to believe to

be inaccurate) the spring and autumn observations of 1871 absolutely

negative the idea of any effect being produced on the constant of

aberration by the amount of refracting medium traversed by the

light.--The great Aurora of 1872 Feb. 4 was well observed. On this

occasion the term Borealis would have been a misnomer, for the

phenomenon began in the South and was most conspicuous in the

South. Three times in the evening it exhibited that umbrella-like

appearance which has been called (perhaps inaccurately) a corona. I

have very carefully compared its momentary phenomena with the

corresponding movements of the magnetometers. In some of the most

critical times, the comparison fails on account of the violent

movements and consequent faint traces of the magnetometers. I have not

been able to connect the phases of aurora and those of magnetic

disturbance very distinctly.--The Report contains a detailed account

of the heavy preparations for the observation of the Transit of Venus

1874, including the portable buildings for the instruments, the

instruments themselves (being a transit-instrument, an altazimuth, and

an equatoreal, for each station), and first class and second-class

clocks, all sufficient for the equipment of 5 stations, and continues

thus: I was made aware of the assent of the Government to the wish of

the Board of Visitors, as expressed at their last meeting, that

provision should be made for the application of photography to the

observation of the Transit of Venus. It is unnecessary for me to

remark that our hope of success is founded entirely on our confidence

in Mr De La Rue. Under his direction, Mr Dallmeyer has advanced far in

the preparation of five photoheliographs.... The subject is recognized

by many astronomers as not wholly free from difficulties, but it is

generally believed that these difficulties may be overcome, and Mr De

La Rue is giving careful attention to the most important of them.--I

take this opportunity of reporting to the Board that the Observatory

was honoured by a visit of His Majesty the Emperor of Brazil, who

minutely examined every part."--After referring to various subjects

which in his opinion might be usefully pursued systematically at the

Observatory, the Report proceeds thus: "'The character of the

Observatory would be somewhat changed by this innovation, but not, as

I imagine, in a direction to which any objection can be made. It would

become, pro tanto, a physical observatory; and possibly in time its

operations might be extended still further in a physical

direction.'--The consideration of possible changes in the future of

the Observatory leads me to the recollection of actual changes in the

past. In my Annual Reports to the Visitors I have endeavoured to

chronicle these; but still there will be many circumstances which at

present are known only to myself, but which ought not to be beyond the

reach of history. I have therefore lately employed some time in

drawing up a series of skeleton annals of the Observatory (which

unavoidably partakes in some measure of the form of biography), and

have carried it through the critical period, 1836-1851. If I should

command sufficient leisure to bring it down to 1861, I think that I

might then very well stop." (The skeleton annals here referred to are

undoubtedly the manuscript notes which form the basis of the present

biography. Ed.)--"On Feb. 23rd in this year I first (privately) formed

the notion of preparing a numerical Lunar Theory by substituting

Delaunay's numbers in the proper Equations and seeing what would come

of it."

Of private history: There was the usual visit to Playford--in this

year later than usual--from Feb. 4th to Mar. 4th. The letters written

during this visit are, as usual, full of freshness and delight at

finding himself in his favourite country village.--On June 5th he went

to Barrow House, near Keswick, to be present at the marriage of his

second son Hubert to Miss S. C. Langton, daughter of Z. Langton Esq.,

of Barrow House.--After the wedding he made a trip through the

Trossachs district of Scotland with his daughter Annot, and returned

to Greenwich on June 17th.

On the 26th June 1872 Airy was appointed a Knight Commander of the

Most Honourable Order of the Bath: he was knighted by the Queen at

Osborne on the 30th of July. In the course of his official career he

had three times been offered Knighthood, and had each time declined

it: but it seemed now as if his scruples on the subject were removed,

and it is probable that he felt gratified by the public recognition of

his services. Of course the occasion produced many letters of

congratulation from his friends: to one of these he replied as

follows: "The real charm of these public compliments seems to be, that

they excite the sympathies and elicit the kind expressions of private

friends or of official superiors as well as subordinates. In every way

I have derived pleasure from these." From the Assistants of the Royal

Observatory he received a hearty letter of congratulation containing

the following paragraph. "Our position has naturally given us peculiar

opportunities for perceiving the high and broad purposes which have

characterized your many and great undertakings, and of witnessing the

untiring zeal and self-denial with which they have been pursued."

* * * * *

On the 18th of March 1872 Airy was nominated a Foreign Associate of

the Institut de France, to fill the place vacant by the death of Sir

John Herschel. The following letter of acknowledgment shews how much

he was gratified by this high scientific honour:

ROYAL OBSERVATORY, GREENWICH,

_1872, March 23_.

_À_ Messieurs

Messieurs ELIE DE BEAUMONT,

_et_ J.B. DUMAS,

_Secrétaires perpetuels de l'Académie

des Sciences, Institut de France._

GENTLEMEN,

I am honoured with your letter of March 18, communicating to me my

nomination by the Academy of Sciences to the place rendered vacant in

the class of Foreign Associates of the Academy by the decease of Sir

John Herschel, and enclosing Copy of the Decree of the President of

the French Republic approving the Election.

It is almost unnecessary for me to attempt to express to you the pride

and gratification with which I receive this announcement. By universal

consent, the title of _Associé Etranger de l'Académie des Sciences_ is

recognised as the highest distinction to which any man of science can

aspire; and I can scarcely imagine that, unless by the flattering

interpretation of my friends in the Academy, I am entitled to bear

it. But in any case, I am delighted to feel that the bands of

friendship are drawn closer between myself and the distinguished body

whom, partly by personal intercourse, partly by correspondence, and in

every instance by reputation, I have known so long.

I beg that you will convey to the Academy my long-felt esteem for that

body in its scientific capacity, and my deep recognition of its

friendship to me and of the honor which it has conferred on me in the

late election.

I have the honor to be

Gentlemen,

Your very faithful servant,

G.B. AIRY.

* * * * *

On the 20th November 1872 Airy was nominated a Grand Cross in the

Imperial Order of the Rose of Brazil: the insignia of the Order were

accompanied by an autograph letter from the Emperor of Brazil, of

which the following is a transcript.

MONSIEUR,

Vous êtes un des doyens de la science, et le Président de l'illustre

Société, qui a eu la bienveillance d'inscrire mon nom parmi ceux de

ses associés. La manière, dont vous m'avez fait les honneurs de votre

Observatoire m'a imposé aussi l'agréable devoir d'indiquer votre nom à

l'empereur de Brésil pour un témoignage de haute estime, dont je suis

fort heureux de vous faire part personellement, en vous envoyant les

décorations que vous garderez, an moins, comme un souvenir de ma

visite à Greenwich.

J'espère que vous m'informerez, quand il vous sera aisé, des travaux

de votre observatoire, et surtout de ce que l'on aura fait pour

l'observation du passage de Vénus et la détermination exacte de la

passage.

J'ai reçu déjà les _Proceedings de la Royal Society_ lesquels

m'intéressent vivement.

Je voudrais vous écrire dans votre langue, mais, comme je n'en ai pas

l'habitude, j'ai craigné de ne pas vous exprimer tout-à-fait les

sentiments de

Votre affectionné,

D. PEDRO D'ALCANTARA.

RIO,

_22 Octobre, 1872_.

* * * * *

Airy's reply was as follows:

ROYAL OBSERVATORY, GREENWICH,

_1872, November 26_.

SIRE,

I am honoured with your Imperial Majesty's autograph letter of October

22 informing me that, on considering the attention which the Royal

Society of London had been able to offer to your Majesty, as well as

the explanation of the various parts of the establishment of this

Observatory which I had the honor and the high gratification to

communicate, You had been pleased to place my name in the Imperial

Order of the Rose, and to present to me the Decorations of Grand Cross

of that Order.

With pride I receive this proof of Your Majesty's recollection of your

visit to the scientific institutions of Great Britain.

The Diploma of the appointment to the Order of the Rose, under the

Imperial Sign Manual, together with the Decorations of the Order, have

been transmitted to me by his Excellency Don Pereira de Andrada, Your

Majesty's Representative at the British Court.

Your Majesty has been pleased to advert to the approaching Transit of

Venus, on the preparations for which you found me engaged. It is

unfortunate that the Transit of 1874 will not be visible at Rio de

Janeiro. For that of 1882, Rio will be a favourable position, and we

reckon on the observations to be made there. Your Majesty may be

assured that I shall loyally bear in mind your desire to be informed

of any remarkable enterprise of this Observatory, or of any principal

step in the preparations for the Transit of Venus and of its results.

I have the honor to be

Sire,

Your Imperial Majesty's very faithful servant,

G.B. AIRY.

_To His Majesty

The Emperor of Brazil._

* * * * *

Airy's old friend, Adam Sedgwick, was now very aged and infirm, but

his spirit was still vigorous, and he was warm-hearted as ever. The

following letter from him (probably the last of their long

correspondence) was written in this year, and appears characteristic:

TRINITY COLLEGE, CAMBRIDGE,

_May 10, 1872_.

MY DEAR AIRY,

I have received your card of invitation for the 1st of June, and with

great joy should I count upon that day if I thought that I should be

able to accept your invitation: but alas I have no hope of the kind,

for that humiliating malady which now has fastened upon me for a full

year and a half has not let go its hold, nor is it likely to do so. A

man who is journeying in the 88th year of his pilgrimage is not likely

to throw off such a chronic malady. Indeed were I well enough to come

I am deaf as a post and half blind, and if I were with you I should

only be able to play dummy. Several years have passed away since I was

last at your Visitation and I had great joy in seeing Mrs Airy and

some lady friends at the Observatory, but I could not then attend the

dinner. At that Meeting were many faces that I knew, but strangely

altered by the rude handling of old Time, and there were many new

faces which I had never seen before at a Royal Society Meeting; but

worse than all, all the old faces were away. In vain I looked round

for Wollaston, Davy, Davies Gilbert, Barrow, Troughton, &c. &c.; and

the merry companion Admiral Smyth was also away, so that my last visit

had its sorrowful side. But why should I bother you with these old

man's mopings.

I send an old man's blessing and an old man's love to all the members

of your family; especially to Mrs Airy, the oldest and dearest of my

lady friends.

I remain, my dear Airy,

Your true-hearted old friend,

his

ADAM X SEDGWICK.

mark

P.S. Shall I ever again gaze with wonder and delight from the great

window of your Observatory.

The body of the above letter is in the handwriting of an amanuensis,

but the signature and Postscript are in Sedgwick's handwriting. (Ed.)

* * * * *

1873

"Chronographic registration having been established at the Paris

Observatory, Mr Hilgard, principal officer of the American Coast

Survey, has made use of it for determining the longitude of Harvard

from Greenwich, through Paris, Brest, and St Pierre. For this purpose

Mr Hilgard's Transit Instrument was planted in the Magnetic Court. I

understand that the result does not sensibly differ from that obtained

by Mr Gould, through Valentia and Newfoundland.--It was known to the

scientific world that several of the original thermometers,

constructed by Mr Sheepshanks (in the course of his preparation of the

National Standard of Length) by independent calibration of the bores,

and independent determination of the freezing and boiling points on

arbitrary graduations, were still preserved at the Royal Observatory.

It was lately stated to me by M. Tresca, the principal officer of the

International Metrical Commission, that, in the late unhappy war in

Paris, the French original thermometers were destroyed; and M. Tresca

requested that, if possible, some of the original thermometers made by

Mr Sheepshanks might be appropriated to the use of the International

Commission. I have therefore transferred to M. Tresca the three

thermometers A.6, S.1, S.2, with the documentary information relating

to them, which was found in Mr Sheepshanks's papers; retaining six

thermometers of the same class in the Royal Observatory.--The Sidereal

Standard Clock continues to give great satisfaction. I am considering

(with the aid of Mr Buckney, of the firm of E. Dent and Co.) an

arrangement for barometric correction, founded on the principle of

action on the pendulum by means of a magnet which can be raised or

lowered by the agency of a large barometer.--The Altazimuth has

received some important alterations. An examination of the results of

observations had made me dissatisfied with the bearings of the

horizontal pivots in their Y's. Mr Simms, at my request, changed the

bearings in Y's for bearing in segments of circles, a construction

which has worked admirably well in the pivots of the Transit Circle."

(And in various other respects the instrument appears to have received

a thorough overhauling. Ed.)--"With the consent of the Royal Society

and of the Kew Committee, the Kew Heliograph has been planted in the

new dome looking over the South Ground. It is not yet finally

adjusted.--Some magnetic observations in the Britannia and Conway

tubular bridges were made last autumn. For this purpose I detached an

Assistant (Mr Carpenter), who was aided by Capt. Tupman, R.M.A.; in

other respects the enterprise was private and at private expense.--The

rates of the first six chronometers (in the annual trials) are

published, in a form which appears most likely to lead to examination

of the causes that influence their merits or demerits. This report is

extensively distributed to British and Foreign horologists and

instrument-makers. All these artists appear to entertain the

conviction that the careful comparisons made at this Observatory, and

the orderly form of their publication, have contributed powerfully to

the improvement of chronometers.--Very lately, application has been

made to me, through the Board of Trade, for plans and other

information regarding time-signal-balls, to assist in guiding the

authorities of the German Empire in the establishment of time signals

at various ports of that State. In other foreign countries the system

is extending, and is referred to Greenwich as its origin.--The

arrangements and preparations for the observation of the Transit of

Venus occupied much attention. With regard to the photoheliographs it

is proposed to make trial of a plan proposed by M. Janssen, for

numerous photographs of Venus when very near to the Sun's limb. On

Apr. 26th the engaging of photographic teachers was sanctioned.

Observers were selected and engaged. A working model of the

Transit was prepared, and the use of De La Rue's Scale was

practised. There was some hostile criticism of the stations selected

for the observation of the Transit, which necessitated a formal

reply.--Reference is made to the increase of facilities for making

magnetical and meteorological observations. The inevitable result of

it is, that observations are produced in numbers so great that

complete reduction becomes almost impossible. The labour of reduction

is very great, and it is concluded that, of the enormous number of

meteorological observations now made at numerous observatories, very

few can ever possess the smallest utility.--Referring to my Numerical

Lunar Theory: on June 30th, 1873, a theory was formed, nearly but not

perfectly complete. Numerical development of powers of a÷r and

r÷a. Factors of corrections to Delaunay first attempted, but entirely

in numerical form."--In March of this year Airy was consulted by Mr

W.H. Barlow, C.E., and Mr Thomas Bouch (the Engineer of the Tay

Bridge, which was blown down in 1879, and of a proposed scheme for a

Forth Bridge in 1873) on the subject of the wind pressure, &c., that

should be allowed for in the construction of the bridge. Airy's report

on this question is dated 1873, Apr. 9th: it was subsequently much

referred to at the Official Enquiry into the causes of the failure of

the Tay Bridge.--At the end of this year Airy resigned the Presidency

of the Royal Society. In his Address to the Society on Dec. 1st he

stated his reasons in full, as follows: "the severity of official

duties, which seem to increase, while vigour to discharge them does

not increase; and the distance of my residence.... Another cause is a

difficulty of hearing, which unfits me for effective action as

Chairman of Council."

Of private history: There was the usual visit to Playford in January:

also a short visit in May: and a third visit at Christmas.--There was

a short run in June, of about a week, to Coniston, with one of his

daughters.--And there was a trip to Weymouth, &c., for about 10 days,

with one of his daughters, in the beginning of August--On his return

from the last-mentioned trip, Airy found a letter from the Secretary

of the Swedish Legation, enclosing the Warrant under the Royal Sign

Manual of His Majesty (Oscar), the King of Sweden and Norway, by which

he was nominated as a First Class Commander of the Order of the North

Star, and accompanying the Decorations of that Order.

1874

"In this year Mr Glaisher resigned his appointment: I placed his

Department (Magnetical and Meteorological) under Mr Ellis.--A balance

of peculiar construction has been made by Mr Oertling, from my

instructions, and fixed near the public barometer at the Entrance

Gate. This instrument enables the public to test any ordinary pound

weight, shewing on a scale the number of grains by which it is too

heavy or too light.--Fresh counterpoises have been attached to the

Great Equatoreal to balance the additional weight of the new

Spectroscope, which was finally received from Mr Browning's hands on

May 2nd of the present year. The Spectroscope is specifically adapted

to sweeping round the Sun's limb, with a view to mapping out the

prominences, and is also available for work on Stars and Nebulae, the

dispersive power being very readily varied. An induction-coil, capable

of giving a six-inch spark, has been made for this instrument by Mr

Browning.--Some new classes of reductions of the meteorological

observations from 1848 to 1868 have been undertaken and completed in

the past year. The general state of this work is as follows: The

diurnal changes of the dry-bulb thermometer, as depending on the

month, on the temperature waves, on the barometric waves, on the

overcast and cloudless states of the sky, and on the direction of the

wind, have been computed and examined for the whole period; and the

exhibition of the results is ready for press. The similar reductions

for the wet-bulb thermometer are rapidly approaching completion.

--Regarding the preparations for the Transit of Venus Expeditions.

Originally five stations were selected and fully equipped

with equatoreals, transits, altazimuths, photoheliographs, and clocks;

but I have since thought it desirable to supplement these by two

branch stations in the Sandwich Islands and one in Kerguelen's Island;

and the additional instruments thus required have been borrowed from

various sources, so that there is now an abundant supply of

instrumental means.... There will thus be available for observation of

the Transit of Venus 23 telescopes, nine of which will be provided

with double-image-micrometers; and five photoheliographs; and for

determination of local time, and latitude and longitude, there will be

nine transits and six altazimuths.... All the observers have undergone

a course of training in photography; first, under a professional

photographer, Mr Reynolds, and subsequently under Capt. Abney, R.E.,

whose new dry-plate process is to be adopted at all the British

Stations.... A Janssen slide, capable of taking 50 photographs of

Venus and the neighbouring part of the Sun's limb at intervals of one

second, has been made by Mr Dallmeyer for each of the five

photoheliographs."--Attached to the Report to the Visitors is a copy

of the Instructions to Observers engaged in the Transit of Venus

Expeditions, prepared with great care and in remarkable detail.--"In

the past spring I published in the Monthly Notices of the Royal

Astronomical Society a statement of the fundamental points in a new

treatment of the Lunar Theory, by which, availing myself of all that

has been done in the best algebraical investigations of that theory, I

trust to be able by numerical operations only to give greater accuracy

to final results. Considerable progress has been made in the extensive

numerical developments, the work being done, at my private expense,

entirely by a junior computer; and I hope, at any rate, to put it in

such a state that there will be no liability to its entire loss. When

this was reported to the Board of Visitors, it was resolved on the

motion of Prof. Stokes, that this work, as a public expense, ought to

be borne by the Government; and this was forwarded to the

Admiralty. On June 24th I wrote to the Secretary of the Admiralty,

asking for _£100_ for the present year, which after the usual

enquiries and explanations was sanctioned on Aug. 29th."

Of private history: There were short visits to Playford in January,

June, and October, but only for a few days in each case.--In March

there was a run of two or three days to Newnham (on the Severn) to see

the Bore on the Severn, and to Malvern.--In July he went to Newcastle

to observe with Mr Newall's great telescope, but the weather was

unfavourable: he then went on to Barrow House near Keswick, and spent

a few days there, with excursions among the mountains.--On Aug. 13th

he went with his daughter Christabel to the Isle of Arran, and then by

Glasgow to the Trosachs, where he made several excursions to verify

the localities mentioned in the "Lady of the Lake."--While in Scotland

he heard of the death of his brother, the Rev. William Airy, and

travelled to Keysoe in Bedfordshire to attend the funeral; and

returned to Greenwich on Aug. 24th.

1875

"In October of this year I wrote to the Admiralty that I had grounds

for asking for an increase of my salary: because the pension which had

been settled on my wife, and which I had practically recognized as

part of my salary, had been terminated by her death; so that my salary

now stood lower by _£200_ than that of the Director of Studies of the

Royal Naval College. The Admiralty reply favourably, and on Nov. 27th

the Treasury raise my salary to _£1_,200.--For the service of the

Clock Movement of the Great Equatoreal, a water-cistern has been

established in the highest part of the Ball-Turret, the necessity for

which arose from the following circumstance: The Water Clock was

supplied by a small pipe, about 80 feet in length, connected with the

3-inch Observatory main (which passes through the Park), at a distance

of about 250 feet from any other branch pipe. In spite of this

distance I have seen that, on stopping the water-tap in the

Battery-Basement under the North-East Turret, the pressure in the

gauge of the Water Clock has been instantly increased by more than 40

lbs. per square inch. The consequent derangement of the Water Clock in

its now incessant daily use became intolerable. Since the independent

supply was provided, its performance has been most satisfactory.--With

the Spectroscope the solar prominences have been mapped on 28 days

only; but the weather of the past winter was exceptionally

unfavourable for this class of observation. After mapping the

prominences, as seen on the C line, the other lines, especially F and

b, have been regularly examined, whenever practicable. Great care has

been taken in determining the position, angle, and heights of the

prominences in all cases. The spectrum of Coggia's Comet was examined

at every available opportunity last July, and compared directly with

that of carbon dioxide, the bands of the two spectra being sensibly

coincident. Fifty-four measures of the displacement of lines in the

spectra of 10 stars, as compared with the corresponding lines in the

spectra of terrestrial elements (chiefly hydrogen), have been made,

but some of these appear to be affected by a constant error depending

on faulty adjustment of the Spectroscope.--Photographs of the Sun have

been taken with the Kew Photoheliograph on 186 days; and of these 377

have been selected for preservation. The Moon, Jupiter, Saturn, and

several stars (including the Pleiades and some double stars) have been

photographed with the Great Equatoreal, with fairly satisfactory

results, though further practice is required in this class of work.--I

would mention a supplemental mechanism which I have myself introduced

into some chronometers. I have long remarked that, in ordinary good

chronometers, the freedom from irregularities depending on mechanical

causes is most remarkable; but that, after all the efforts of the most

judicious makers, there is in nearly every case a perceptible defect

of thermal compensation. There is great difficulty in correcting the

residual fault, not only because an inconceivably small movement of

the weights on the balance-curve is required, but also because it

endangers the equilibrium of the balance. The mechanism adopted to

remedy the defect is described in a Paper in the Horological Journal

of July 1875 by Mr W. Ellis, and has received the approval of some

able chronometer-makers.--With respect to the Transit of Venus

Expeditions: The parties from Egypt and Rodriguez are returned. I am

in continual expectation of the arrival of the other parties. I

believe the eye-observations and the ordinary photographs to be quite

successful; I doubt the advantage of the Janssen; one of the

double-image-micrometers seems to have failed; and the

Zenith-telescope gives some trouble. At three stations at Rodriguez,

and three at Kerguelen, the observations appear to have been most

successful. At the Sandwich Islands, two of the stations appear to

have been perfectly successful (except that I fear that the Janssen

has failed), and a rich series of lunar observations for longitude is

obtained. At New Zealand, I grieve to say, the observations were

totally lost, entirely in consequence of bad weather. There has been

little annoyance from the dreaded 'black drop.' Greater inconvenience

and doubt have been caused by the unexpected luminous ring round

Venus.--With regard to the progress of my proposed New Lunar Theory:

Three computers are now steadily employed on the work. It will be

remembered that the detail and mass of this work are purely numerical;

every numerical coefficient being accompanied with a symbolical

correction whose value will sometimes depend on the time, but in every

case is ultimately to be obtained in a numerical form. Of these

coefficients, extracted (for convenience) from Delaunay's results,

there are 100 for parallax, 182 for longitude, 142 for latitude; the

arguments being preserved in the usual form."--After reviewing the

changes that had taken place at the Observatory during the past forty

years, the Report to the Board of Visitors concludes thus: "I much

desire to see the system of time-signals extended, by clocks or daily

signals, to various parts of our great cities and our dockyards, and

above all by hourly signals on the Start Point, which I believe would

be the greatest of all benefits to nautical chronometry. Should any

extension of our scientific work ever be contemplated, I would remark

that the Observatory is not the place for new physical investigations.

It is well adapted for following out any which, originating

with private investigators, have been reduced to laws susceptible

of verification by daily observation. The National Observatory

will, I trust, always remain on the site where it was first

planted, and which early acquired the name of 'Flamsteed Hill.'

There are some inconveniences in the position, arising principally

from the limited extent of the hill, but they are, in my opinion, very

far overbalanced by its advantages."--In a letter on the subject of

the Smith's Prizes Examination at Cambridge, which was always a matter

of the greatest interest to him, Airy renewed his objections to the

preponderance in the Papers of a class of Pure Mathematics, which he

considered was never likely under any circumstances to give the

slightest assistance to Physics. And, as before, these remarks called

forth a rejoinder from Prof. Cayley, who was responsible for many of

the questions of the class referred to.--In this year Airy completed

his "Notes on the Earlier Hebrew Scriptures," which were shortly

afterwards published as a book by Messrs Longmans, Green, & Co. In his

letter to the publishers introducing the subject, he says, "For many

years past I have at times put together a few sentences explanatory as

I conceive of the geographical and historical circumstances connected

with the principal events recorded in the Hebrew Scriptures. The view

which I take is free, but I trust not irreverent. They terminate with

a brief review of Colenso's great work. The collection now amounts to

a small book." From the references already given in previous years to

his Papers and correspondence on the geography of Exodus, his

correspondence with Colenso, &c. &c., it will be seen that he took a

great interest in the early history of the Israelites.--On August

10th, 1875, Airy celebrated the Bicentenary of the Royal Observatory

by a dinner in the Octagon Room, which was attended by the Presidents

of the Royal Society and the R. Astr. Society, and by a large number

of Scientific gentlemen interested in Astronomy.--In February he was

revising his Treatise on "Probabilities."

Of private history: up to Jan. 16th Airy was at Playford as

usual.--For about a week in April he was in the Isle of Man with his

daughter Christabel.--In June there was a short trip to Salisbury,

Blandford, and Wimborne.--On August 12th he started with his daughter

Annot for a holiday in Cumberland, but on the next day he was recalled

by a telegram with the intelligence that a change for the worse had

come over his wife's health. Lady Airy died on August 13th, 1875. For

the last five years of her life she had been very helpless from the

effects of a paralytic stroke--a very sad ending to a bright and happy

life--and had been continually nursed throughout this time by her two

unmarried daughters with the greatest self-denial and devotion. Her

husband had been unremitting in his care and attention. Nothing was

wanting that the most thoughtful kindness could supply. And in all his

trips and excursions his constant and kind letters shewed how anxious

he was that she should participate in all his interests and

amusements. From the nature of the case it could hardly be said that

her death was unexpected, and he received the shock with the manly

steadiness which belonged to him. Lady Airy was buried in Playford

churchyard.--From Sept. 22nd to Oct. 4 he made a short expedition to

Wales (Capel Curig, &c.).--On Dec. 15th he attended the Commemoration

at Trinity College, Cambridge.--On Dec. 22nd he went as usual to

Playford.

In this year Airy received the high honour of the Freedom of the City

of London, in the following communication:

STONE, Mayor.--A Common Council holden in the Chamber of the Guildhall

of the City of London, on Thursday the 29th day of April 1875.

Resolved Unanimously

That the Freedom of this City in a Gold Box of the value of One

hundred guineas be presented to Sir George Biddell Airy, K.C.B.,

D.C.L., LL.D. &c., Astronomer Royal, as a recognition of his

indefatigable labours in Astronomy, and of his eminent services in the

advancement of practical science, whereby he has so materially

benefited the cause of Commerce and Civilization.

MONCKTON.

This Resolution was forwarded with a letter from Benjamin Scott, the

Chamberlain. Airy's reply was as follows:

ROYAL OBSERVATORY, GREENWICH, S.E.

_1875, May 1_.

DEAR SIR,

I have the honour to acknowledge your letter of April 30, accompanied

with Copy of the Resolution of the Common Council of the City of

London passed at their Meeting of April 29, under signature of the

Town Clerk, That the Freedom of the City of London in a valuable Box

be presented to me, in recognition of works stated in the

Resolution. And I am requested by you to inform you whether it is my

intention to accept the compliment proposed by the Corporation.

In reply, I beg you to convey to the Right Honorable the Lord Mayor

and the Corporation that I accept with the greatest pride and pleasure

the honour which they propose to offer to me. The Freedom of our Great

City, conferred by the spontaneous act of its Municipal Governors, is

in my estimation the highest honour which it is possible to receive;

and its presentation at this time is peculiarly grateful to me.

I have the honour to be,

Sir,

Your very obedient servant,

G.B. AIRY.

_Benjamin Scott, Esq.,

&c. &c. &c.

Chamberlain of the Corporation of the

City of London._

As it was technically necessary that a Freeman of the City of London

should belong to one or other of the City Companies, the Worshipful

Company of Spectacle Makers through their clerk (with very great

appropriateness) enquired whether it would be agreeable that that

Company should have the privilege of conferring their Honorary Freedom

on him, and added: "In soliciting your acquiescence to the proposal I

am directed to call attention to the fact that this Guild is permitted

to claim all manufacturers of Mathematical and Astronomical

Instruments within the City of London, which is now pleaded as an

apology for the wish that one so distinguished as yourself in the use

of such Instruments should be enrolled as a Member of this Craft." In

his reply, accepting the Freedom of the Company, Airy wrote thus: "I

shall much value the association with a body whose ostensible title

bears so close a relation to the official engagements which have long

occupied me. I have had extensive experience both in arranging and in

using optical and mathematical instruments, and feel that my own

pursuits are closely connected with the original employments of the

Company." The Freedom of the Company was duly presented, and the

occasion was celebrated by a banquet at the Albion Tavern on Tuesday,

July 6th.

The Freedom of the City of London was conferred at a Court of Common

Council held at the Guildhall on Thursday the 4th of November. In

presenting the gold box containing the Freedom, the Chamberlain, in an

eloquent speech, first referred to the fact that this was the first

occasion on which the Freedom had been conferred on a person whose

name was associated with the sciences other than those of war and

statecraft. He then referred to the solid character of his work, in

that, while others had turned their attention to the more attractive

fields of exploration, the discovery of new worlds or of novel

celestial phenomena, he had incessantly devoted himself to the less

interesting, less obtrusive, but more valuable walks of practical

astronomy. And he instanced as the special grounds of the honour

conferred, the compilation of nautical tables of extraordinary

accuracy, the improvement of chronometers, the correction of the

compasses of iron ships, the restoration of the standards of length

and weight, and the Transit of Venus Expeditions. In his reply Airy

stated that he regarded the honour just conferred upon him as the

greatest and proudest ever received by him. He referred to the fact

that the same honour had been previously conferred on the valued

friend of his youth, Thomas Clarkson, and said that the circumstance

of his succeeding such a man was to himself a great honour and

pleasure. He alluded to his having received a small exhibition from

one of the London Companies, when he was a poor undergraduate at

Cambridge, and acknowledged the great assistance that it had been to

him. With regard to his occupation, he said that he had followed it in

a great measure because of its practical use, and thought it fortunate

that from the first he was connected with an institution in which

utility was combined with science. The occasion of this presentation

was celebrated by a Banquet at the Mansion House on Saturday July 3rd,

1875, to Sir George Airy (Astronomer Royal) and the Representatives of

Learned Societies.

There is no doubt that Airy was extremely gratified by the honour that

he had received. It was to him the crowning honour of his life, and

coming last of all it threw all his other honours into the shade. To

his independent and liberal spirit there was something peculiarly

touching in the unsolicited approbation and act of so powerful and

disinterested a body as the Corporation of the City of London.

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