LETTER XII.

THE ODOMETER OR DIVINING-RING.—How come upon by the author—His first

experiments—The phenomena an objective proof of the reality of the

Od-force.

“Qualis ab incepto” shall be the motto of this twelfth letter, the

materials of which were undreamt of by me, when some three months ago I

remitted the new and corrected edition of “the Letters” to England. The

occasion which led me to the knowledge of the facts I have to mention,

and their bearing, tally curiously with what has gone before.

For it is again winter, with its long, solitary evenings, against the

tedium of which I had to seek a resource; and I bethought me, this

time, of occupying myself with looking into the higher mathematics.

Accordingly I sent to Herr Caspari, professor of mathematics in the

gymnasium at Boppard, to solicit him to give me the instruction and

assistance which I needed. And he obligingly came, in the evening

of the 31st of December, to sit by my side and converse with me.

And I went over preliminarily my schoolboy recollections of the

elements of mathematics, and was pleased at finding the remembered

difficulties vanish before the explanations of my well-informed tutor.

And I learned, to my vast delight, that the inability under which

asymptotes labour to touch hyperbolas is a purely arbitrary one, like

the legislative prohibition not to marry with one’s deceased wife’s

sister; but that, unlike the latter, it can be evaded; inasmuch as

an asymptote, by changing its name and forfeiting its properties,

may at any time unite itself with the object to which it had before

been infinitely near. Again, I found my boyish distrust and disbelief

in sines and cosines replaced by an intelligent and well-satisfied

acquaintance with them. And I even obtained a glimpse of the higher

analysis itself, pointing with its unerring finger to the exact height,

else unmeasurable, at which my candle should stand in the centre of my

round table, to shed upon it its maximum of illumination.

A liberal hour being over, and my dolphin-like recreation ended, my new

friend entered into desultory chat, and asked me, among other things,

if I had not written something on the divining-rod. I replied to his

question by giving him the copy I had of “the Letters;” and promised,

as a New-Year’s gift for the morrow, to present him with the implement

itself. And I lent him Von Reichenbach’s book on Od, with which he was

unacquainted. Then he told me that there were two or three experiments,

possibly akin to trials with the divining-rod, with which he had been

familiar for years, and which he had shown to many without receiving an

explanation of them. He said that as far as he knew they were original

and his own; and that he would willingly show them to me. He wanted

only for that purpose a piece of silver, a gold ring, and a bit of

silk. These were easily found. And he attached the silk to the ring,

which he then held suspended by the silk over a silver spoon, at a

distance of half an inch.

Shortly the ring shaped its first vague movements into regular

oscillations in a direction to and fro, or towards and from, Herr

Caspari. I will call such oscillations _longitudinal_. It was evident

to me, that this phenomenon must be akin to the motion of the

divining-rod.

Then, at Herr Caspari’s suggestion, I summoned the maid, who was

directed to place her hand in Herr Caspari’s disengaged hand. On

her doing so, the oscillations of the ring became _transverse_. How

pregnant was this fact! An Od-current had been established between the

two experimenters; and the apparent influence of the two metals on each

other had been modified.

Herr Caspari told me that, as far as he knew, these experiments would

only succeed when made with silver and gold, and a bit of silk. But he

said that he had still another experiment to show me, which he did the

following day. He said he had a little pea-like bit of something, which

he had been told was _schwefel-kies_, that exhibited another motion:

when held suspended by silk over either of the fingers, it rotated one

way; when held suspended over the thumb, it rotated in the contrary

direction.

Herr Caspari left me, after agreeing to assist me in the further

examination of these phenomena; and the New Year coming in found me

in busy thought how to elicit, through variations of Herr Caspari’s

experiments, some important physical evidence as to the reality and

agency of Von Reichenbach’s Od-force.

In ten days we have succeeded in disentangling the confused results

which attended our first experiments; and as I see no likelihood of

extending them at present in any new direction, I present them to

the reader now, as complete as I can at present render them. I have

used the term “divining-ring,” partly because I have a vague idea of

having seen Herr Caspari’s first facts adverted to in some publication

under that name; partly because it is really thus far deserved:—If you

place a piece of silver on a table, and lay over the table and it an

unfolded silk pocket-handkerchief, you can discover where the silver

lies by trying with the suspended ring each part of the surface. The

ring will only oscillate when held over the silver. But now I have to

substitute another name for the sake of precision.

A fragment of any thing, of any shape, suspended either by silk or

cotton thread, the other end of which is wound round the first joint

either of the forefinger or of the thumb, I will call an _Odometer_.

The length of the thread does not matter. It must be sufficient to

allow the ring, or whatever it is, to reach to about half an inch from

the table, against which you rest your arm or elbow to steady your

hand. If there be nothing on the table, the ring or its equivalent soon

becomes stationary. Then you test the powers of the odometer by placing

upon the table under it what substances you please. These I would call

_Od-subjects_.

To obtain uniform results with the Odometer, it is important to attach

the sustaining thread always to the same finger of the same hand,—best

to the forefinger of the right hand. It is evident that this rule

is not to prevent the experimenter, when he has succeeded in thus

obtaining a series of consistent results, from trying what will come of

substituting his other digits for that first employed.

I have armed the odometer with gold, silver, lead, zinc, iron, copper;

with coal, bone, horn, dry wood, charcoal, cinder, glass, soap, wax,

sealing-wax, shell-lac, sulphur, earthenware. As Od-subjects I have

likewise tried most of the substances above enumerated. All do not go

equally well, or perform exactly the same feats, with each odometer.

For example, an odometer of dry wood remains stationary over gold;

while it oscillates with great vivacity over glass. The respective

habitudes of different odometers to different Od-subjects is one of the

simplest points of investigation which the facts I am narrating suggest.

A gold ring with a plain stone in it was the first odometer which

I employed, and it is one of the most largely available. And gold

forms in general the most successful Od-subject. Sulphur likewise

displays very lively motions in the odometer. But the material which

I finally employed to verify the following phenomena was shell-lac, a

portion a full inch long, broader towards the lower end, then cut to

be lancet-shaped. The odometer moves more sluggishly with some than

with others, and in the same hand on different days; and doubtless

is capable of manifesting a greater variety of effects than I have

yet elicited from it. I can only pledge myself to the certainty of my

being always now able to obtain with the shell-lac odometer all the

results mentioned in the XXVII. experiments which first follow. Over

rock-crystal, however, the shell-lac odometer acts very feebly; but a

glass odometer moves with brilliant vivacity. I would besides advise

the reader to try a gold-ring odometer, in preference, for experiments

X., XI., XII., XIII.

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