During this period, Clausius, the German physicist, was working on the

same subject, taking quite a different method, studying the mechanical

effects of heat in gases, and deducing, almost simultaneously with

Rankine (1850), the general equation which lies at the beginning of

the theory of the equivalence of heat and mechanical energy. He found

that the probable zero of heat-motion is at such a point that the

Carnot function must be approximately the reciprocal of the "absolute"

temperature, as measured with the air thermometer, or, stated exactly,

that quantity as determined by a perfect gas thermometer. He confirmed

Rankine's conclusion relative to the liquefaction of saturated vapors

when expanding against resistance, and, in 1854, adapted Carnot's

principle to the new theory, and showed that his idea of the

reversible engine and of the performance of a cycle in testing the

changes produced still held good, notwithstanding Carnot's ignorance

of the true nature of heat. Clausius also gave us the extremely

important principle: It is impossible for a self-acting machine,

unaided, to transfer heat from one body at a low temperature to

another having a higher temperature.

Simultaneously with Rankine and Clausius, Prof. William Thomson was

engaged in researches in thermo-dynamics (1850). He was the first to

express the principle of Carnot as adapted to the modern theory by

Clausius in the now generally quoted propositions:[109]

[109] _Vide_ Tait's admirable "Sketch of Thermodynamics," second

edition, Edinburgh, 1877.

1. When equal mechanical effects are produced by purely thermal

action, equal quantities of heat are produced or disappear by

transformation of energy.

2. If, in any engine, a reversal effects complete inversion of all the

physical and mechanical details of its operation, it is a perfect

engine, and produces maximum effect with any given quantity of heat

and with any fixed limits of range of temperature.

William Thomson and James Thompson showed, among the earliest of their

deductions from these principles, the fact, afterward confirmed by

experiment, that the melting-point of ice should be lowered by

pressure 0.0135 deg. Fahr, for each atmosphere, and that a body which

contracts while being heated will always have its temperature

decreased by sudden compression. Thomson applied the principles of

energetics in extended investigations in the department of

electricity, while Helmholtz carried some of the same methods into his

favorite study of acoustics.

The application of now well-settled principles to the physics of gases

led to many interesting and important deductions: Clausius explained

the relations between the volume, density, temperature, and pressure

of gases, and their modifications; Maxwell reestablished the

experimentally determined law of Dalton and Charles, known also as

that of Gay-Lussac (1801), which asserts that all masses of equal

pressure, volume, and temperature, contain equal numbers of molecules.

On the Continent of Europe, also, Hirn, Zeuner, Grashof, Tresca,

Laboulaye, and others have, during the same period and since,

continued and greatly extended these theoretical researches.

During all this time, a vast amount of experimental work has also been

done, resulting in the determination of important data without which

all the preceding labor would have been fruitless. Of those who have

engaged in such work, Cagniard de la Tour, Andrews, Regnault, Hirn,

Fairbairn and Tate, Laboulaye, Tresca, and a few others have directed

their researches in this most important direction with the special

object of aiding in the advancement of the new-born sciences. By the

middle of the present century, the time which we are now studying,

this set of data was tolerably complete. Boyle had, two hundred years

before, discovered and published the law, which is now known by his

name[110] and by that of Marriotte,[111] that the pressure of a gas

varies inversely as its volume and directly as its density; Dr. Black

and James Watt discovered, a hundred years later (1760), the latent

heat of vapors, and Watt determined the method of expansion of steam;

Dalton, in England, and Gay-Lussac, in France, showed, at the

beginning of the nineteenth century, that all gaseous fluids are

expanded by equal fractions of their volume by equal increments of

temperature; Watt and Robison had given tables of the elastic force of

steam, and Gren had shown that, at the temperature of boiling water,

the pressure of steam was equal to that of the atmosphere; Dalton,

Ure, and others proved (1800-1818) that the law connecting

temperatures and pressures of steam was expressed by a geometrical

ratio; and Biot had already given an approximate formula, when

Southern introduced another, which is still in use.

[110] "New Experiments, Physico-Mechanical, etc., touching the

Spring of Air," 1662.

[111] "De la Nature de l'Air," 1676.

The French Government established a commission in 1823 to experiment

with a view to the institution of legislation regulating the working

of steam-engines and boilers; and this commission, MM. de Prony,

Arago, Girard, and Dulong, determined quite accurately the

temperatures of steam under pressures running up to twenty-four

atmospheres, giving a formula for the calculation of the one quantity,

the other being known. Ten years later, the Government of the United

States instituted similar experiments under the direction of the

Franklin Institute.

The marked distinction between gases, like oxygen and hydrogen, and

condensible vapors, like steam and carbonic acid, had been, at this

time, shown by Cagniard de la Tour, who, in 1822, studied their

behavior at high temperatures and under very great pressures. He found

that, when a vapor was confined in a glass tube in presence of the

same substance in the liquid state, as where steam and water were

confined together, if the temperature was increased to a certain

definite point, the whole mass suddenly became of uniform character,

and the previously existing line of demarkation vanished, the whole

mass of fluid becoming, as he inferred, gaseous. It was at about this

time that Faraday made known his then novel experiments, in which

gases which had been before supposed permanent were liquefied, simply

by subjecting them to enormous pressures. He then also first stated

that, above certain temperatures, liquefaction of vapors was

impossible, however great the pressure.

Faraday's conclusion was justified by the researches of Dr. Andrews,

who has since most successfully extended the investigation commenced

by Cagniard de la Tour, and who has shown that, at a certain point,

which he calls the "critical point," the properties of the two states

of the fluid fade into each other, and that, at that point, the two

become continuous. With carbonic acid, this occurs at 75 atmospheres,

about 1,125 pounds per square inch, a pressure which would

counterbalance a column of mercury 60 yards, or nearly as many metres,

high. The temperature at this point is about 90 deg. Fahr., or 31 deg. Cent.

For ether, the temperature is 370 deg. Fahr., and the pressure 38

atmospheres; for alcohol, they are 498 deg. Fahr., and 120 atmospheres;

and for bisulphide of carbon, 505 deg. Fahr., and 67 atmospheres. For

water, the pressure is too high to be determined; but the temperature

is about 775 deg. Fahr., or 413 deg. Cent.

Donny and Dufour have shown that these normal properties of vapors and

liquids are subject to modification by certain conditions, as

previously (1818) noted by Gay-Lussac, and have pointed out the

bearing of this fact upon the safety of steam-boilers. It was

discovered that the boiling-point of water could be elevated far above

its ordinary temperature of ebullition by expedients which deprive the

liquid of the air usually condensed within its mass, and which prevent

contact with rough or metallic surfaces. By suspension in a mixture of

oils which is of nearly the same density, Dufour raised drops of water

under atmospheric pressure to a temperature of 356 deg. Fahr.--180 deg.

Cent.--the temperature of steam of about 150 pounds per square inch.

Prof. James Thompson has, on theoretical grounds, indicated that a

somewhat similar action may enable vapor, under some conditions, to be

cooled below the normal temperature of condensation, without

liquefaction.

Fairbairn and Tate repeated the attempt to determine the volume and

temperature of water at pressures extending beyond those in use in the

steam-engine, and incomplete determinations have also been made by

others.

Regnault is the standard authority on these data. His experiments

(1847) were made at the expense of the French Government, and under

the direction of the French Academy. They were wonderfully accurate,

and extended through a very wide range of temperatures and pressures.

The results remain standard after the lapse of a quarter of a century,

and are regarded as models of precise physical work.[112]

[112] _See_ Porter on the Steam-Engine Indicator for the best set of

Regnault's tables generally accessible.

Regnault found that the total heat of steam is not constant, but that

the latent heat varies, and that the sum of the latent and sensible

heats, or the total heat, increases 0.305 of a degree for each degree

of increase in the sensible heat, making 0.305 the specific heat of

saturated steam. He found the specific heat of superheated steam to be

0.4805.

Regnault promptly detected the fact that steam was not subject to

Boyle's law, and showed that the difference is very marked. In

expressing his results, he not only tabulated them but also laid them

down graphically; he further determined exact constants for Biot's

algebraic expression,

log. _p_ = _a_ - _b_A^{_x_} - _c_B^{_x_};

making _x_ = 20 + _t_ deg. Cent.; _a_ = 6.264035; log. _b_ = 0.1397743;

log. _c_ = 0.6924351; log. A = [=1].9940493, and log. B = [=1].9983439;

_p_ is the pressure in atmospheres. Regnault, in the expression for the

total heat, H = A + _bt_, determined on the centigrade scale [theta] =

606.5 + 0.305 _t_ Cent. For the Fahrenheit scale, we have the

following equivalent expressions:

H = 1,113.44 deg. + 0.305 _t_ deg. Fahr., if measured from 0 deg. Fahr.

= 1,091.9 deg. + 0.305 (_t_ deg. - 32) Fahr.,; } if measured from

= 1,081.94 deg. + 0.305 _t_ deg. Fahr., } the freezing-point.

For latent heat, we have:

L = 606.5 deg. - 0.695 _t_ deg. Cent.

= 1,091.7 deg.- 0.695 (_t_ deg. - 32) Fahr.

= 1,113.94 deg.- 0.695 _t_ deg. Fahr.

Since Regnault's time, nothing of importance has been done in this

direction. There still remains much work to be done in the extension

of the research to higher pressures, and under conditions which obtain

in the operation of the steam-engine. The volumes and densities of

steam require further study, and the behavior of steam in the engine

is still but little known, otherwise than theoretically. Even the true

value of Joule's equivalent is not undisputed.

Some of the most recent experimental work bearing directly upon the

philosophy of the steam-engine is that of Hirn, whose determination of

the value of the mechanical equivalent was less than two per cent.

below that of Joule. Hirn tested by experiment, in 1853, and

repeatedly up to 1876, the analytical work of Rankine, which led to

the conclusion that steam doing work by expansion must become

gradually liquefied. Constructing a glass steam-engine cylinder, he

was enabled to see plainly the clouds of mist which were produced by

the expansion of steam behind the piston, where Regnault's experiments

prove that the steam should become drier and superheated, were no heat

transformed into mechanical energy. As will be seen hereafter, this

great discovery of Rankine is more important in its bearing upon the

theory of the steam-engine than any made during the century. Hirn's

confirmation stands, in value, beside the original discovery. In 1858

Hirn confirmed the work of Mayer and Joule by determining the work

done and the carbonic acid produced, as well as the increased

temperature due to their presence, where men were set at work in a

treadmill; he found the elevation of temperature to be much greater in

proportion to gas produced when the men were resting than when they

were at work. He thus proved conclusively the conversion of

heat-energy into mechanical work. It was from these experiments that

Helmholtz deduced the "modulus of efficiency" of the human machine at

one-fifth, and concluded that the heart works with eight times the

efficiency of a locomotive-engine, thus confirming a statement of

Rumford, who asserted the higher efficiency of the animal.

Hirn's most important experiments in this department were made upon

steam-engines of considerable size, including simple and compound

engines, and using steam sometimes saturated and sometimes superheated

to temperatures as high, on some occasions, as 340 deg. Cent. He

determined the work done, the quantity of heat entering, and the

amount rejected from, the steam-cylinder, and thus obtained a coarse

approximation to the value of the heat-equivalent. His figure varied

from 296 to 337 kilogrammetres. But, in all cases, the loss of heat

due to work done was marked, and, while these researches could not, in

the nature of the case, give accurate quantitative results, they are

of great value as qualitatively confirming Mayer and Joule, and

proving the transformation of energy.

Thus, as we have seen, experimental investigation and analytical

research have together created a new science, and the philosophy of

the steam-engine has at last been given a complete and well-defined

form, enabling the intelligent engineer to comprehend the operation of

the machine, to perceive the conditions of efficiency, and to look

forward in a well-settled direction for further advances in its

improvement and in the increase of its efficiency.

A very concise _resume_ of the principal facts and laws bearing upon

the philosophy of the steam-engine will form a fitting conclusion to

this historical sketch.

The term "energy" was first used by Dr. Young as the equivalent of the

work of a moving body, in his hardly yet obsolete "Lectures on Natural

Philosophy."

Energy is the capacity of a moving body to overcome resistance offered

to its motion; it is measured either by the product of the mean

resistance into the space through which it is overcome, or by the

half-product of the mass of the body into the square of its velocity.

Kinetic energy is the actual energy of a moving body; potential energy

is the measure of the work which a body is capable of doing under

certain conditions which, without expending energy, may be made to

affect it, as by the breaking of a cord by which a weight is

suspended, or by firing a mass of explosive material. The British

measure of energy is the foot-pound; the metric measure is the

kilogrammetre.

Energy, whether kinetic or potential, may be observable and due to

mass-motion; or it may be invisible and due to molecular movements.

The energy of a heavenly body or of a cannon-shot, and that of heat or

of electrical action, are illustrations of the two classes. In Nature

we find utilizable potential energy in fuel, in food, in any available

head of water, and in available chemical affinities. We find kinetic

energy in the motion of the winds and the flow of running water, in

the heat-motion of the sun's rays, in heat-currents on the earth, and

in many intermittent movements of bodies acted on by applied forces,

natural or artificial. The potential energy of fuel and of food has

already been seen to have been derived, at an earlier period, from the

kinetic energy of the sun's rays, the fuel or the food being thus made

a storehouse or reservoir of energy. It is also seen that the animal

system is simply a "mechanism of transmission" for energy, and does

not create but simply diverts it to any desired direction of

application.

All the available forms of energy can be readily traced back to a

common origin in the potential energy of a universe of nebulous

substance (chaos), consisting of infinitely diffused matter of

immeasurably slight density, whose "energy of position" had been,

since the creation, gradually going through a process of

transformation into the several forms of kinetic and potential energy

above specified, through intermediate methods of action which are

usually still in operation, such as the potential energy of chemical

affinity, and the kinetic forms of energy seen in solar radiation, the

rotation of the earth, and the heat of its interior.

The _measure_ of any given quantity of energy, whatever may be its

form, is the product of the resistance which it is capable of

overcoming into the space through which it can move against that

resistance, i. e., by the product RS. Or it is measured by the

equivalent expressions (MV^{2})/2, or WV^{2}/2_g_, in which W is

the weight, M is the "mass" of matter in motion, V the velocity, and

_g_ the dynamic measure of the force of gravity, 32-1/6 feet, or 9.8

metres, per second.

There are three great laws of energetics:

1. The sum total of the energy of the universe is invariable.

2. The several forms of energy are interconvertible, and possess an

exact quantitative equivalence.

3. The tendency of all forms of kinetic energy is continually toward

reduction to forms of molecular motion, and to their final dissipation

uniformly throughout space.

The history of the first two of these laws has already been traced.

The latter was first enunciated by Prof. Sir William Thomson in 1853.

Undissipated energy is called "Entrophy."

The science of thermo-dynamics is, as has been stated, a branch of the

science of energetics, and is the only branch of that science in the

domain of the physicist which has been very much studied. This branch

of science, which is restricted to the consideration of the relations

of heat-energy to mechanical energy, is based upon the great fact

determined by Rumford and Joule, and considers the behavior of those

fluids which are used in heat-engines as the media through which

energy is transferred from the one form to the other. As now accepted,

it assumes the correctness of the hypothesis of the dynamic theory of

fluids, which supposes their expansive force to be due to the motion

of their molecules.

This idea is as old as Lucretius, and was distinctly expressed by

Bernouilli, Le Sage and Prevost, and Herapath. Joule recalled

attention to this idea, in 1848, as explaining the pressure of gases

by the impact of their molecules upon the sides of the containing

vessels. Helmholtz, ten years later, beautifully developed the

mathematics of media composed of moving, frictionless particles, and

Clausius has carried on the work still further.

The general conception of a gas, as held to-day, including the

vortex-atom theory of Thomson and Rankine, supposes all bodies to

consist of small particles called molecules, each of which is a

chemical aggregation of its ultimate parts or atoms. These molecules

are in a state of continual agitation, which is known as heat-motion.

The higher the temperature, the more violent this agitation; the total

quantity of motion is measured as _vis viva_ by the half-product of

the mass into the square of the velocity of molecular movement, or in

heat-units by the same product divided by Joule's equivalent. In

solids, the range of motion is circumscribed, and change of form

cannot take place. In fluids, the motion of the molecules has become

sufficiently violent to enable them to break out of this range, and

their motion is then no longer definitely restricted.

The laws of thermo-dynamics are, according to Rankine:

1. Heat-energy and mechanical energy are mutually convertible, one

British thermal unit being the equivalent in heat-energy of 772

foot-pounds of mechanical energy, and one metric _calorie_ equal to

423.55 kilogrammetres of work.

2. The energy due to the heat of each of the several equal parts into

which a uniformly hot substance may be divided is the same; and the

total heat-energy of the mass is equal to the sum of the energies of

its parts.[113]

[113] This uniformity is not seen where a substance is changing its

physical state while developing its heat-energy, as occurs with

steam doing work while expanding.

It follows that the work performed by the transformation of the energy

of heat, during any indefinitely small variation of the state of a

substance as respects temperature, is measured by the product of the

absolute temperature into the variation of a "function," which

function is the rate of variation of the work so done with

temperature. This function is the quantity called by Rankine the

"heat-potential" of the substance for the given kind of work. A

similar function, which comprehends the total heat-variation,

including both heat transformed and heat needed to effect accompanying

physical changes, is called the "thermo-dynamic function." Rankine's

expression for the general equation of thermo-dynamics includes the

latter, and is given by him as follows:

J_dh_ = _d_H = _kd_[tau] + [tau]_d_F = [tau]_d_[phi],

in which J is Joule's equivalent, _dh_ the variation of total heat in

the substance, _kd_[tau] the product of the "dynamic specific heat"

into the variation of temperature, or the total heat demanded to

produce other changes than a transformation of energy, and [tau]_d_F

is the work done by the transformation of heat-energy, or the product

of the absolute temperature, [tau], into the differential of the

heat-potential. [phi] is the thermo-dynamic function, and

[tau]_d_[phi] measures the whole heat needed to produce,

simultaneously, a certain amount of work or of mechanical energy, and,

at the same time, to change the temperature of the working substance.

Studying the behavior of gases and vapors, it is found that the work

done when they are used, like steam, in heat-engines, consists of

three parts:

(_a._) The change effected in the total actual heat-motion of the

fluid.

(_b._) That heat which is expended in the production of internal work.

(_c._) That heat which is expended in doing the external work of

expansion.

In any case in which the total heat expended exceeds that due the

production of work on external bodies, the excess so supplied is so

much added to the intrinsic energy of the substance absorbing it.

The application of these laws to the working of steam in the engine is

a comparatively recent step in the philosophy of the steam-engine, and

we are indebted to Rankine for the first, and as yet only, extended

and in any respect complete treatise embodying these now accepted

principles.

It was fifteen years after the publication of the first logical theory

of the steam-engine, by Pambour,[114] before Rankine, in 1859, issued

the most valuable of all his works, "The Steam-Engine and other Prime

Movers." The work is far too abstruse for the general reader, and is

even difficult reading for many accomplished engineers. It is

excellent beyond praise, however, as a treatise on the thermo-dynamics

of heat-engines. It will be for his successors the work of years to

extend the application of the laws which he has worked out, and to

place the results of his labors before students in a readily

comprehended form.

[114] "Theorie de la Machine a Vapeur," par le Chevalier F. M. G. de

Pambour, Paris, 1844.

William J. Macquorn Rankine, the Scotch engineer and philosopher, will

always be remembered as the author of the modern philosophy of the

steam-engine, and as the greatest among the founders of the science of

thermo-dynamics. His death, while still occupying the chair of

engineering at the University of Glasgow, December 24, 1872, at the

early age of fifty-two, was one of the greatest losses to science and

to the profession which have occurred during the century.

CHAPTER VIII.

_THE PHILOSOPHY OF THE STEAM-ENGINE._

ITS APPLICATION; ITS TEACHINGS RESPECTING THE CONSTRUCTION OF THE

ENGINE AND ITS IMPROVEMENT.

"Oftentimes an Uncertaintie hindered our going on so merrily, but by

persevering the Difficultie was mastered, and the new Triumph gave

stronger Heart unto us."--RALEIGH.

"If everything which we cannot comprehend is to be called an

impossibility, how many are daily presented to our eyes! and in

contemning as false that which we consider to be impossible, may we

not be depreciating a giant's effort to give an importance to our

own weakness?"--MONTAIGNE.

"They who aim vigorously at perfection will come nearer to it than

those whose laziness or despondency makes them give up its pursuit

from the feeling of its being unattainable."--CHESTERFIELD.

As has been already stated, the steam-engine is a machine which is

especially designed to transform energy, originally dormant or

potential, into active and usefully available kinetic energy.

When, millions of years ago, in that early period which the geologists

call the carboniferous, the kinetic energy of the sun's rays, and of

the glowing interior of the earth, was expended in the decomposition

of the vast volumes of carbonic acid with which air was then charged,

and in the production of a life-sustaining atmosphere and of the

immense forests which then covered the earth with their almost

inconceivably luxuriant vegetation, there was stored up for the

benefit of the human race, then uncreated, an inconceivably great

treasure of potential energy, which we are now just beginning to

utilize. This potential energy becomes kinetic and available wherever

and whenever the powerful chemical affinity of oxygen for carbon is

permitted to come into play; and the fossil fuel stored in our

coal-beds or the wood of existing forests is, by the familiar process

of combustion, permitted to return to the state of combination with

oxygen in which it existed in the earliest geological periods.

The philosophy of the steam-engine, therefore, traces the changes

which occur from this first step, by which, in the furnace of the

steam-boiler, this potential energy which exists in the tendency of

carbon and oxygen to combine to form carbonic acid is taken advantage

of, and the utilizable kinetic energy of heat is produced in

equivalent amount, to the final application of resulting mechanical

energy to machinery of transmission, through which it is usefully

applied to the elevation of water, to the driving of mills and

machinery of all kinds, or to the hauling of "lightning" trains on our

railways, or to the propulsion of the Great Eastern.

The kinetic heat-energy developed in the furnace of the steam-boiler

is partly transmitted through the metallic walls which inclose the

steam and water within the boiler, there to evaporate water, and to

assume that form of energy which exists in steam confined under

pressure, and is partly carried away into the atmosphere in the

discharged gaseous products of combustion, serving, however, a useful

purpose, _en route_, by producing the draught needed to keep up

combustion.

The steam, with its store of heat-energy, passes through tortuous

pipes and passages to the steam-cylinder of the engine, losing more or

less heat on the way, and there expands, driving the piston before it,

and losing heat by the transformation of that form of energy while

doing mechanical work of equivalent amount. But this steam-cylinder is

made of metal, a material which is one of the best conductors of heat,

and therefore one of the very worst possible substances with which to

inclose anything as subtile and difficult of control as the heat

pervading a condensible vapor like steam. The process of internal

condensation and reevaporation, which is the great enemy of economical

working, thus has full play, and is only partly checked by the heat

from the steam-jacket, which, penetrating the cylinder, assists by

keeping up the temperature of the internal surface and checking the

first step, condensation, which is an essential preliminary to the

final waste by reevaporation. The piston, too, is of metal, and

affords a most excellent way of exit for the heat escaping to the

exhaust side.

Finally, all unutilized heat rejected from the steam-cylinder is

carried away from the machine, either by the water of condensation,

or, in the non-condensing engine, by the atmosphere into which it is

discharged.

Having traced the method of operation of the steam-engine, it is easy

to discover what principles are comprehended in its philosophy, to

learn what are known facts bearing upon its operation, and to

determine what are the directions in which improvement must take

place, what are the limits beyond which improvement cannot possibly be

carried, and, in some directions, to determine what is the proper

course to pursue in effecting improvements. The general direction of

change in the past, as well as at present, is easily seen, and it may

usually be assumed that there will be no immediate change of direction

in a course which has long been preserved, and which is well defined.

We may, therefore, form an idea of the probable direction in which to

look for improvement in the near future.

Reviewing the operations which go on in this machine during the

process of transformation of energy which has been outlined, and

studying it more in detail, we may deduce the principles which govern

its design and construction, guide us in its management, and determine

its efficiency.

In the furnace of the boiler, the quantity of heat developed in

available form is proportional to the amount of fuel burned. It is

available in proportion to the temperature attained by the products of

combustion; were this temperature no higher than that of the boiler,

the heat would all pass off unutilized. But the temperature produced

by a given quantity of heat, measured in heat-units, is greater as the

volume of gas heated is less. It follows that, at this point,

therefore, the fuel should be perfectly consumed with the least

possible air-supply, and the least possible abstraction of heat before

combustion is complete. High temperature of furnace, also, favors

complete combustion. We hence conclude that, in the steam-boiler

furnace, fuel should be burned completely in a chamber having

non-conducting walls, and with the smallest air-supply compatible with

thorough combustion; and, further, that the air should be free from

moisture, that greatest of all absorbents of heat, and that the

products of combustion should be removed from the furnace before

beginning to drain their heat into the boiler. A fire-brick furnace, a

large combustion-chamber with thorough intermixture of gases within

it, good fuel, and a restricted and carefully-distributed supply of

air, seem to be the conditions which meet these requisites best.

The heat generated by combustion traverses the walls which separate

the gases of the furnace from the steam and water confined within the

boiler, and is then taken up by those fluids, raising their

temperature from that of the entering "feed-water" to that due the

steam-pressure, and expanding the liquid into steam occupying a

greatly-increased volume, thus doing a certain amount of work, besides

increasing temperature. The extent to which heat may thus be usefully

withdrawn from the furnace-gases depends upon the conductivity of the

metallic wall, the rate at which the water will take heat from the

metal, and the difference of temperature on the two sides of the

metal. Extended "heating-surface," therefore, a metal of high

conducting power, and a maximum difference of temperature on the two

sides of the separating wall of metal, are the essential conditions of

economy here. The heating-surface is sometimes made of so great an

area that the temperature of the escaping gases is too low to give

good chimney-draught, and a "mechanical draught" is resorted to,

revolving "fan-blowers" being ordinarily used for its production. It

is most economical to adopt this method. The steam-boiler is generally

constructed of iron--sometimes, but rarely, of cast-iron, although

"steel," where not hard enough to harden or temper, is better in

consequence of its greater strength and homogeneousness of structure,

and its better conductivity. The maximum conductivity of flow of heat

for any given material is secured by so designing the boiler as to

secure rapid, steady, and complete circulation of the water within it.

The maximum rapidity of transfer throughout the whole area of

heating-surface is secured, usually, by taking the feed-water into the

boiler as nearly as possible at the point where the gases are

discharged into the chimney-flue, withdrawing the steam nearer the

point of maximum temperature of flues, and securing opposite

directions of flow for the gases on the one side and the water on the

other. Losses of heat from the boiler, by conduction and radiation to

surrounding bodies, are checked as far as possible by non-conducting

coverings.

The mechanical equivalent of the heat generated in the boiler is

easily calculated when the conditions of working are known. A pound of

pure carbon has been found to be capable of liberating by its perfect

combustion, resulting in the formation of carbonic acid, 14,500

British thermal units, equivalent to 14,500 x 772 = 11,194,000

foot-pounds of work, and, if burned in one hour, to 11194000/1980000 =

5.6 horse-power. In other words, with perfect utilization, but 10/56 =

0.177, or about one-sixth, of a pound of carbon would be needed per

hour for each horse-power of work done. But even good coal is not

nearly all carbon, and has but about nine-tenths this heat-producing

power, and it is usually rated as yielding about 10,000,000

foot-pounds of work per pound. The evaporative power of pure carbon

being rated at 15 pounds of water, that of good coal may be stated at

13-1/2. In metric measures, one gramme of good coal should evaporate

about 13-1/2 grammes of water from the boiling-point, producing the

equivalent of about 3,000,000 kilogrammetres of work from the 7,272

_calories_ of heat thus generated. A gramme of pure carbon generates

in its combustion 8,080 _calories_ of heat. Per hour and per

horse-power, 0.08, or less than one-twelfth, of a kilogram of carbon

burned per hour evolves heat-energy equal to one horse-power.

Of the coal burned in a steam-boiler, it rarely happens that more than

three-fourths is utilized in making steam; 7,500,000 foot-pounds

(1,036,898 kilogrammetres) is, therefore, as much energy as is usually

sent to the engine per pound of good coal burned in the steam-boiler.

The "efficiency" of a good steam-boiler is therefore usually not far

from 0.75 as a maximum. Rankine estimates this quantity for ordinary

boilers of good design and with chimney-draught at

0.92

E = ------------;

1 + 0.5(F/S)

in which F/S is the ratio of weight of fuel burned per square foot of

grate to the ratio of heating to grate surface; this is a formula of

fairly close approximation for general practice.

The steam in the engine first drives the piston some distance before

the induction or steam valve is closed, and it then expands, doing

work, and condensing in proportion to work done as the expansion

proceeds, until it is finally released by the opening of the exhaust

or eduction valve. Saturated steam is modified in its action by a

process which has already been described, condensing at the beginning

and reevaporating at the end of the stroke, thus carrying into the

condenser considerable quantities of heat which should have been

utilized in the development of power. Whether this operation takes

place in one cylinder or in several is only of importance in so far as

it modifies the losses due to conduction and radiation of heat, to

condensation and reevaporation of steam, and to the friction of the

machine. It has already been seen how these losses are modified by the

substitution of the compound for the single-cylinder engine.

The laws of thermo-dynamics teach, as has been stated, that the

proportion of the heat-energy contained in the steam or other working

fluid which may be transformed into mechanical energy is a fraction

(H_{1} - H_{2})/H_{1}, of the total, in which H_{1} and H_{2} are the

quantities of heat contained in the steam at the beginning and at the

end of its operation, measuring from the absolute zero of heat-motion.

In perfect gases,

H_{1} - H_{2} [tau]_{1} - [tau]_{2} T_{1} - T_{2}

------------- = --------------------- = --------------------

H_{1} [tau]_{1} T_{1} + 461.2 deg. Fahr.

but in imperfect gases, and especially in vapors which, like steam,

condense, or otherwise change their physical state, this equality may

still exist,

(H_{1} - H_{2})/H_{1} = ([tau]_{1} - [tau]_{2})/[tau]_{1};

and the fluid is equally efficient with the

perfect gas as a working substance in a heat-engine. In any case it is

seen that the efficiency is greatest when the whole of the heat is

received at the maximum and rejected at the minimum attainable

temperatures.

Assuming this expression strictly accurate, a hot-air engine working

from 413.6 deg. Fahr, or 874.8 deg. absolute temperature, down to 122 deg. Fahr,

or 583.2 deg. absolute, should have an efficiency of 0.263, transforming

that proportion of available heat into mechanical work. The engines

of the steamer Ericsson closely approached this figure, and gave a

horse-power for each 1.87 pound of coal burned per hour.

Steam expands in the steam-cylinder quite differently under different

circumstances. If no heat is either communicated to it or abstracted

from it, however, it expands in an hyperbolic curve, losing its

tension much more rapidly than when expanded without doing work, in

consequence both of its change of volume and its condensation. The

algebraic expression for this method of expansion is, according to

Rankine, PV^{1.111} = C, a constant, or, according to other

authorities, from PV^{1.135} = C to PV^{1.140} = C. The greater the

value of the exponent of V, the greater the efficiency of the fluid

between any two temperatures. The maximum value has been found to be

given where the steam is saturated, but perfectly dry, at the

commencement of its expansion. The loss due to condensation on the

cooled interior surface of the cylinder at the commencement of the

stroke and the subsequent reevaporation as expansion progresses is

least when the cylinder is kept hot by its steam-jacket and when least

time is given during the stroke for this transfer of heat between the

metal and the vapor.

It may be said that, all things considered, therefore, losses of heat

in the steam-cylinder are least when the steam enters dry, or

moderately superheated, where the interior surfaces are kept hottest

by the steam-jacket or by the hot-air jacket sometimes used, and where

piston-speed and velocity of rotation are highest.[115] The best of

compound engines, using steam of seventy-five pounds pressure and

condensing, usually require about two pounds of coal per

hour--20,000,000 foot-pounds of energy at the furnace--to develop a

horse-power, i. e., about ten times the heat-equivalent of the

mechanical work which they accomplish. Were the steam to expand like

the permanent gases, they would have a theoretical efficiency of about

one-quarter; actually, the efficiency is only one-tenth. The

steam-engine, therefore, utilizes about two-fifths the heat-energy

theoretically available with the best type of engine in general use.

By far the greater part, nearly all, in fact, of the nine-tenths

wasted is rejected in the exhaust steam, and can only be saved by some

such method as is hereafter to be suggested of retaining that heat and

returning it to the boiler.

[115] In some cases, as in the Allen engine, the speed of piston has

become very high, approaching 800((stroke)^{1/3}).

The mechanical power which has now been communicated to the mechanism

of the engine by the transfer of the kinetic energy of the hot steam

to the piston is finally usefully applied to whatever "mechanism of

transmission" forms the connection with the machinery driven by the

engine. In this transfer, there is some loss in the engine itself, by

friction. This is an extremely variable amount, and it can be made

very small by skillful design and good workmanship and management. It

may be taken at one-half pound per square inch of piston for good

engines of 100 horse-power and upward, but is often several pounds in

very small engines. It is least when the rubbing surfaces are of

different materials, but both of smooth, hard, close-grained metal,

well lubricated, and where advantage is taken of any arrangement of

parts which permits the equilibration of pressure, as on the

shaft-bearings of double and triple engines. The friction of a

steam-engine of large size and good design is usually between five and

seven per cent. of its total power. It increases rapidly as the size

of engine decreases.

Having now traced somewhat minutely the growth of the steam-engine

from the beginning of the Christian era to the present time, having

rapidly outlined the equally gradual, though intermittent, growth of

its philosophy, and having shown how the principles of science find

application in the operation of this wonderful machine, we are now

prepared to study the conditions which control the intelligent

designer, and to endeavor to learn what are the lessons taught us by

science and by experience in regard to the essential requisites of

efficient working of steam and economy in the consumption of fuel. We

may even venture to point out definitely the direction in which

improvement is now progressing as indicated by a study of these

requisites, and may be able to perceive the natural limits to such

progress, and possibly to conjecture what must be the character of

that change of type which only can take the engineer beyond the limit

set to his advance so long as he is confined to the construction of

the present type of engine.

First, we must consider the question: _What is the problem, stated

precisely and in its most general form, that engineers have been here

attempting to solve?_

After stating the problem, we will examine the record with a view to

determine what direction the path of improvement has taken hitherto,

to learn what are the conditions of efficiency which should govern the

construction of the modern steam-engine, and, so far as we may judge

the future by the past, by inference, to ascertain what appears to be

the proper course for the present and for the immediate future. Still

further, we will inquire, what are the conditions, physical and

intellectual, which best aid our progress in perfecting the

steam-engine.

This most important problem may be stated in its most general, yet

definite, form as follows:

_To construct a machine which shall, in the most perfect manner

possible, convert the kinetic energy of heat into mechanical power,

the heat being derived from the combustion of fuel, and steam being

the receiver and the conveyer of that heat._

The problem, as we have already seen, embodies two distinct and

equally important inquiries:

The first: What are the scientific principles involved in the problem

as stated?

The second: How shall a machine be constructed that shall most

efficiently embody, and accord with, not only those scientific

principles, but also all of those principles of engineering practice

that so vitally affect the economical value of every machine?

The one question is addressed to the man of science, the other to the

engineer. They can be satisfactorily answered, even so far as our

knowledge at present permits, after studying with care the scientific

principles involved in the theory of the steam-engine under the best

light that science can afford us, and by a careful study of the

various steps of improvement that have taken place and of accompanying

variations of structure, analyzing the effect of each change, and

tracing the reasons for them.

The theory of the steam-engine is too important and too extensive a

subject to be satisfactorily treated here in even the most concise

possible manner. I can only attempt a plain statement of the course

which seems to be pointed out by science as the proper one to pursue

in the endeavor to increase the economical efficiency of

steam-engines.

The teachings of science indicate that _success in economically

deriving mechanical power from the energy of heat-motion will, in all

cases, be the greater as we work between more widely separated limits

of temperature, and as we more perfectly provide against losses by

dissipation of heat in directions in which it is unavailable for the

production of power_.

Scientific research, as we have seen, has proved that, in all known

varieties of heat-engine, a large loss of effect is unavoidable from

the fact that we cannot, in the ordinary steam-engine, reduce the

lower limit of temperature, in working, below a point which is far

above the absolute zero of temperature--far above that point at which

bodies have no heat-motion. The point corresponding to the mean

temperature of the surface of the earth is above the ordinary lower

limit.

The higher the temperature of the steam when it enters the steam

cylinder, and the lower that which it reaches before the exhaust

occurs, the greater, science tells us, will be our success, provided

we at the same time avoid waste of heat and power.

Now, looking back over the history of the steam-engine, we may briefly

note the prominent improvements and the most striking changes of form,

and may thus endeavor to obtain some idea of the general direction in

which we are to look for further advance.

Beginning with the machine of Porta, at which point we may first take

up an unbroken thread, it will be remembered that we there found a

single vessel performing the functions of all the parts of a modern

pumping-engine; it was, at once, boiler, steam-cylinder, and

condenser, as well as both a lifting and a forcing pump.

The Marquis of Worcester divided the engine into two parts, using a

separate boiler.

Savery duplicated that part of the engine of Worcester which performed

the several parts of pump, steam-cylinder, and condenser, and added

the use of water to effect rapid condensation, perfecting, so far as

it was ever perfected, the steam-engine as a simple machine.

Newcomen and Calley next separated the pump from the steam-engine

proper, producing the modern steam-engine--the engine as a train of

mechanism; and in their engine, as in Savery's, we noticed the use of

surface condensation first, and subsequently that of the jet thrown

into the midst of the steam to be condensed.

Watt finally effected the crowning improvements, and completed the

movement oL "differentiation" by separating the condenser from the

steam-cylinder. Here this process of change ceased, the several

important operations of the steam-engine now being conducted each in a

separate vessel. The boiler furnished the steam, the cylinder derived

from it mechanical power, and it was finally condensed in a separate

vessel, while the power which had been obtained from it in the

steam-cylinder was transmitted through still other parts, to the

pumps, or wherever work was to be done.

Watt, also, took the initiative in another direction. He continually

increased the efficiency of the machine by improving the proportions

of its parts and the character of its workmanship, thus making it

possible to render available many of those improvements in detail upon

which effectiveness is so greatly dependent and which are only useful

when made by a skillful workman.

Watt and his contemporaries also commenced that movement toward higher

pressures of steam and greater expansion which has been the most

striking feature noticed in the progress of steam-engineering since

his time. Newcomen used steam of barely more than atmospheric pressure

and raised 105,000 pounds of water one foot high with a pound of coal

consumed. Smeaton raised the pressure somewhat and increased the duty

considerably. Watt started with a duty double that of Newcomen and

raised it to 320,000 foot-pounds per pound of coal, with steam at 10

pounds pressure. To-day, Cornish engines of the same general plan as

those of Watt, but worked with 40 to 60 pounds of steam and expanding

three or four times, do a duty probably averaging, with the better

class of engines, 600,000 foot-pounds per pound of coal. The compound

pumping-engine runs the figure up to above 1,000,000.

The increase in steam-pressure and in expansion since Watt's time has

been accompanied by a very great improvement in workmanship--a

consequence, very largely, of the rapid increase in perfection, and in

the wide range of adaptation of machine-tools--by higher skill and

intelligence in designing engines and boilers, by increased

piston-speed, greater care in obtaining dry steam, and in keeping it

dry until thrown out of the cylinder, either by steam-jacketing or by

superheating, or both combined; it has further been accompanied by a

greater attention to the important matter of providing carefully

against losses by radiation and conduction of heat. We use, finally,

the compound or double-cylinder engine for the purpose of saving some

of the heat usually lost in internal condensation and reevaporation,

and precipitation of condensed vapor from great expansion.

It is evident that, although there is a limit, tolerably well defined,

in the scale of temperature, below which we cannot expect to pass, a

degree gained in approaching this lower limit is more remunerative

than a degree gained in the range of temperature available by

increasing temperatures.[116]

[116] The fact here referred to is easily seen if it is supposed

that an engine is supplied with steam at a temperature of 400 deg.

above absolute zero and works it, without waste, down to a

temperature of 200 deg.. Suppose one inventor to adapt the engine to the

use of steam of a range from 500 deg. down to 200 deg., while another works

his engine, with equally effective provision against losses, between

the limits of 400 deg. and 100 deg., an equal range with a lower mean. The

first case gives an efficiency of one-half, the second three-fifths,

and the third three-fourths, the last giving the highest effect.

Hence the attempt made by the French inventor, Du Trembly, about the

year 1850, and by other inventors since, to utilize a larger

proportion of heat by approaching more closely the lower limit, was in

accordance with known scientific principles.

We may summarize the result of our examination of the growth of the

steam-engine thus:

_First._ The process of improvement has been one, primarily, of

"differentiation;"[117] the number of parts has been continually

increased; while the work of each part has been simplified, a separate

organ being appropriated to each process in the cycle of operations.

[117] This term, though perhaps not familiar to engineers, expresses

the idea perfectly.

_Secondly._ A kind of secondary process of differentiation has, to

some extent, followed the completion of the primary one, in which

secondary process one operation is conducted partly in one and partly

in another portion of the machine. This is illustrated by the two

cylinders of the compound engine and by the duplication noticed in the

binary engine.

_Thirdly._ The direction of improvement has been marked by a continual

increase of steam-pressure, greater expansion, provision for obtaining

dry steam, high piston-speed, careful protection against loss of heat

by conduction or radiation, and, in marine engines, by surface

condensation.

The direction which improvement seems now to be taking, and the proper

direction, as indicated by an examination of the principles of

science, as well as by our review of the steps already taken, would

seem to be: working between the widest attainable limits of

temperature.

Steam must enter the machine at the highest possible temperature, must

be protected from waste, and must retain, at the moment before

exhaust, the least possible amount of heat. He whose inventive genius,

or mechanical skill, contributes to effect either the use of higher

steam with safety and without waste, or the reduction of the

temperature of discharge, confers a boon upon mankind.

In detail: In the engine, the tendency is, and may probably be

expected to continue, in the near future at least, toward higher

steam-pressure, greater expansion in more than one cylinder,

steam-jacketing, superheating, a careful use of non-conducting

protectors against waste, and the adoption of still higher

piston-speeds.

In the boiler: more complete combustion without excess of air passing

through the furnace, and more thorough absorption of heat from the

furnace-gases. The latter will probably be ultimately effected by the

use of a mechanically produced draught, in place of the far more

wasteful method of obtaining it by the expenditure of heat in the

chimney.

In construction we may anticipate the use of better materials, and

more careful workmanship, especially in the boiler, and much

improvement in forms and proportions of details.

In management, there is a wide field for improvement, which

improvement we may feel assured will rapidly take place, as it has now

become well understood that great care, skill, and intelligence are

important essentials to the economical management of the steam-engine,

and that they repay, liberally, all of the expense in time and money

that is requisite to secure them.

In attempting improvements in the directions indicated, it would be

the height of folly to assume that we have reached a limit in any one

of them, or even that we have approached a limit. If further progress

seems checked by inadequate returns for efforts made, in any case, to

advance beyond present practice, it becomes the duty of the engineer

to detect the cause of such hinderance, and, having found it, to

remove it.

A few years ago, the movement toward the expansive working of high

steam was checked by experiments seeming to prove positive

disadvantage to follow advance beyond a certain point. A careful

revision of results, however, showed that this was true only with

engines built, as was then common, in utter disregard of all the

principles involved in such a use of steam, and of the precautions

necessary to be taken to insure the gain which science taught us

should follow. The hinderances are mechanical, and it is for the

engineer to remove them.

The last remark is especially applicable to the work of the engineer

who is attempting to advance in the direction in which, as already

intimated, an unmistakable revolution is now progressing, the

modification of the modern steam-engine to adapt it safely and

successfully to run at the high piston-speed, and great velocity of

rotation which have been already attained and which must undoubtedly

be greatly exceeded in the future. As there is no known and definite

limit to the economical increase of speed, and as the limit set by

practical conditions is continually being set farther back as the

builder acquires greater skill and attains greater accuracy of

workmanship and the power to insure greater rigidity of parts and

durability of wearing surfaces, we must anticipate a continued and

indefinite progress in this direction--a progress which must evidently

be of advantage, whatever may be the direction that other changes may

take.

It is evident that this adaptation of the steam-engine to great speed

of piston is the work now to be done by the engineer. The requisites

to success are obvious, and may be concisely stated as follows:

1. Extreme accuracy in proportions.

2. Perfect accuracy in fitting parts to each other.

3. Absolute symmetry of journals.

4. Ample area and maximum durability of rubbing surfaces.

5. Perfect certainty of an ample and continuous lubrication.

6. A nicely calculated and adjusted balance of reciprocating parts.

7. Security against injury by shock, whether due to the presence of

water in the cylinder or to looseness of running parts.

8. A "positive-motion" cut-off gear.

9. A powerful but sensitive and accurately-working governor

determining the degree of expansion.[118]

[118] The author is not absolutely confident on the latter point. It

may be found more economical and satisfactory, ultimately, to

determine the point of cut-off by an automatic apparatus adjusting

the expansion-gear _by reference to the steam-pressure_, regulating

the speed by attaching the governor elsewhere. The author has

devised several forms of apparatus of the kind referred to.

10. Well-balanced valves and an easy-working valve-gear.

11. Small volume of "dead-space," or "clearance," and properly

adjusted "compression."

It would seem sufficiently evident that the engine with detachable

("drop") cut-off valve-gear must, sooner or later, become an obsolete

type, although the substitution of springs or of steam-pressure for

gravity in the closing of the detached valve may defer greatly this

apparently inevitable change. The "engine of the future" will not

probably be a "drop cut-off engine."

As regards the construction of the engine as a piece of mechanism, the

principles and practice of good engineering are precisely the same,

whether applied in the designing of the compound or of the ordinary

type of steam-engine. The proportioning of the two machines to each

other in such manner as to form an effective whole, by procuring

approximately equal amounts of work from both, is the only essential

peculiarity of compound-engine design which calls for especial care,

and the method of securing success in practice may be stated to be,

for both forms of engines, as follows:

1. A good design, by which is meant--

_a._ Correct proportions, both in general dimensions and in

arrangement of parts, and proper forms and sizes of details to

withstand safely the forces which may be expected to come upon them.

_b._ A general plan which embodies the recognized practice of good

engineering.

_c._ Adaptation to the specific work which it is intended to perform,

in size and in efficiency. It sometimes happens that good practice

dictates the use of a comparatively uneconomical design.

2. Good construction, by which is meant--

_a._ The use of good material.

_b._ Accurate workmanship.

_c._ Skillful fitting and a proper "assemblage" of parts.

3. Proper connection with its work, that it may do that work under the

conditions assumed in its design.

4. Skillful management by those in whose hands it is placed.

_In general_, it may be stated that, to secure maximum economical

efficiency, steam should be worked at as high a pressure as possible,

and the expansion should be fixed as nearly as possible at the point

of maximum economy for that pressure. In general, the number of times

which the volume of steam may be expanded in the standard

single-cylinder, high-pressure engine with maximum economy, is not far

from 1/2 sqrt(P), where P is the pressure in pounds per square inch;

it rarely exceeds 0.75 sqrt(P). This may be exceeded in

double-cylinder engines. It is even more disadvantageous to cut off

too short than to "'follow' too far." With considerable expansion,

steam-jacketing and moderate superheating should be adopted, to

prevent excessive losses by internal condensation and reevaporation;

and expansion should take place in double cylinders, to avoid

excessive weight of parts, irregularity of motion, and great loss by

friction.

To secure this vitally important economy, it is advisable to seek some

practicable method of lining the cylinder with a non-conducting

material. This plan, as has been seen, was adopted by Smeaton, in

constructing Newcomen engines a century ago. Smeaton used wood on his

pistons, and Watt tried wood as a material for steam-cylinder linings.

That material is too perishable at temperatures now common, and no

metal has yet been substituted, or even discovered, which answers the

same purpose. The loss will also be reduced by increasing the speed of

rotation and velocity of piston. Where no effectual means can be found

of preventing contact of the steam with a good absorbent and conductor

of heat, it will be found best to sacrifice some of the efficiency due

to the change of state of the vapor, by superheating it and sending it

into the cylinder at a temperature considerably exceeding that of

saturation. With low steam and slowly-moving pistons, it is better to

pursue the latter course than to attempt to increase the efficiency of

the engine by greater expansion.

External surfaces should be carefully covered by non-conductors and

non-radiators, to prevent losses by conduction and radiation of heat.

It is especially necessary to reduce back-pressure and to obtain the

most perfect vacuum possible without overloading the air-pump, if it

is desired to obtain the maximum efficiency by expansion, and it then

becomes also very necessary to reduce losses by "dead-spaces" and by

badly-adjusted valves.

The piston-speed should be as great as can be sustained with safety.

Good engines should not require more than W = (200/sqrt(P)) where W =

the weight of steam per hour and per horse-power; the best practice

gives about W = (180/sqrt(P)) in large engines with dry steam, high

piston-speed, and good design, construction, and management.

The expansion-valve gear should be simple. The point of cut-off is

perhaps best determined by the governor. The valve should close

rapidly, but without shock, and should be balanced, or some other

device should be adopted to make it easy to move and free from

liability to cutting or rapid wear.

The governor should act promptly and powerfully, and should be free

from liability to oscillate, and to thus introduce irregularities

which are sometimes not less serious than those which the instrument

is intended to prevent.

Friction should be reduced as much as possible, and careful provision

should be made to economize lubricants as well as fuel.

The Principles of Steam-Boiler Construction are exceedingly simple;

and although attempts are almost daily made to obtain improved

results by varying the design and arrangement of heating-surface, the

best boilers of nearly all makers of acknowledged standing are

practically equal in merit, although of very diverse forms.

In making boilers, the effort of the engineer should evidently be:

1. To secure complete combustion of the fuel without permitting

dilution of the products of combustion by excess of air.

2. To secure as high temperature of furnace as possible.

3. To so arrange heating-surfaces that, without checking draught, the

available heat shall be most completely taken up and utilized.

4. To make the form of boiler such that it shall be constructed

without mechanical difficulty or excessive expense.

5. To give it such form that it shall be durable, under the action of

the hot gases and of the corroding elements of the atmosphere.

6. To make every part accessible for cleaning and repairs.

7. To make every part as nearly as possible uniform in strength, and

in liability to loss of strength by wear and tear, so that the boiler

when old shall not be rendered useless by local defects.

8. To adopt a reasonably high "factor of safety" in proportioning

parts.

9. To provide efficient safety-valves, steam-gauges, and other

appurtenances.

10. To secure intelligent and very careful management.

In securing complete combustion, the first of these desiderata, an

ample supply of air and its thorough intermixture with the combustible

elements of the fuel are essential; for the second--high temperature

of furnace--it is necessary that the air-supply shall not be in excess

of that absolutely needed to give complete combustion. The efficiency

of a furnace in making heat available is measured by

T - T'

E = -------;

T - _t_

in which E represents the ratio of heat utilized to the whole

calorific value of the fuel, T is the furnace-temperature, T' the

temperature of the chimney, and _t_ that of the external air. The

higher the furnace-temperature and the lower that of the chimney, the

greater the proportion of heat available. It is further evident that,

however perfect the combustion, no heat can be utilized if either the

temperature of the chimney approximates to that of the furnace, or if

the temperature of the furnace is reduced by dilution approximately to

that of the boiler. Concentration of heat in the furnace is secured,

in some cases, by special expedients, as by heating the entering air,

or as in the Siemens gas-furnace, heating both the combustible gases

and the supporter of combustion. Detached fire-brick furnaces have an

advantage over the "fire-boxes" of steam-boilers in their higher

temperature; surrounding the fire with non-conducting and highly

heated surfaces is an effective method of securing high

furnace-temperature.

In arranging heating-surface, the effort should be to impede the

draught as little as possible, and so to place them that the

circulation of water within the boiler should be free and rapid at

every part reached by the hot gases. The directions of circulation of

water on the one side and of gas on the other side of the sheet

should, whenever possible, be opposite. The cold water should enter

where the cooled gases leave, and the steam should be taken off

farthest from that point. The temperature of chimney-gases has thus

been reduced in practice to less than 300 deg. Fahr., and an efficiency

equal to 0.75 to 0.80 the theoretical has been attained.

The extent of heating-surface simply, in all of the best forms of

boiler, determines the efficiency, and in them the disposition of that

surface seldom affects it to any great extent. The area of

heating-surface may also be varied within very wide limits without

very greatly modifying efficiency. A ratio of 25 to 1 in flue and 30

to 1 in tubular boilers represents the relative area of heating and

grate surfaces as chosen in the practice of the best-known builders.

The material of the boiler should be tough and ductile iron, or,

better, a soft steel containing only sufficient carbon to insure

melting in the crucible or on the hearth of the melting-furnace, and

so little that no danger may exist of hardening and cracking under the

action of sudden and great changes of temperature.

Where iron is used, it is necessary to select a somewhat hard, but

homogeneous and tough, quality for the fire-box sheets or any part

exposed to flames.

The factor of safety is invariably too low in this country, and is

never too high in Europe. Foreign builders are more careful in this

matter than our makers in the United States. The boiler should be

built strong enough to bear a pressure at least six times the proposed

working-pressure; as the boiler grows weak with age, it should be

occasionally tested to a pressure far above the working-pressure,

which latter should be reduced gradually to keep within the bounds of

safety. In the United States, the factor of safety is seldom more than

four in the new boilers, frequently much less, and even this is

reduced practically to one and a third by the operation of our

inspection-laws.

The principles just enunciated are those generally, perhaps

universally, accepted principles which are stated in all text-books of

science and of steam-engineering, and are accepted by both engineers

and men of science.

These principles are correct, and the deductions which have been here

formulated are rigidly exact, as applied to all types of heat-engine

in use; and they lead us to the determination, in all cases, of the

"modulus" of efficiency of the engine, i. e., to the calculation of

the ratio of its actual efficiency to that efficiency which it would

have, were it absolutely free from loss of heat by conduction or

radiation, or other method of loss of heat or waste of power, by

friction of parts or by shock.

The best modern marine compound engines sometimes, as we have seen,

consume as little as two pounds of coal per horse-power and per hour;

but this is but about one-tenth the power derivable from the fuel,

were all its heat thoroughly utilized. This loss may be divided thus:

70 per cent. rejected in exhausted steam; 20 per cent. lost by

conduction and radiation and by faults of mechanism and design; and

only the 10 per cent. remaining is utilized. Thirty per cent. of the

heat generated in the furnace is usually lost in the chimney, and of

the remainder, which enters the engine, 20 per cent. at most is all

which we can hope to save any portion of by improvements effected in

our best existing type of steam-engine. It has already been shown how

the engineer can best proceed in attempting this economy.

The direction in which further improvement must take place in the

standard type of engine is plainly that which shall most efficiently

check losses by internal condensation and reevaporation by the

transfer of heat to and from the metal of the steam-cylinder. The

condensation of steam doing work is evidently not a disadvantage, but,

on the contrary, a decided advantage.

A new type of engine can, if at all, probably only supersede the

common form when engineers can employ steam of very high pressure, and

adopt much greater range of expansion than is now usual. Great

velocity of piston and high speed of rotation are also essential in

the attempt to make any revolution in steam-engine construction a

success.

When a new form of steam-engine is likely to be introduced, if at all,

can be scarcely even conjectured. It seems evident that its success is

to be secured, if a revolution is ever to occur, by the adoption of

high steam-pressures, of great piston speeds, by care and skill in

design, by the use of exceptionally excellent materials of

construction, by great perfection of workmanship, and by intelligence

in its management.

Experiment and experience will probably lead gradually to the general

and safe employment of much higher steam-pressures and very greatly

increased piston-speeds, and may ultimately reveal and remove all

those difficulties which must invariably be expected to be met here,

as in all other attempts to effect radical changes, however important

they may be.

[Illustration]

* * * * *

_Scientific Publications._

=THE HUMAN SPECIES.= By A. DE QUATREFAGES, Professor of Anthropology

in the Museum of Natural History, Paris. 12mo, cloth, $2.00.

The work treats of the unity, origin, antiquity, and original

localization of the human species, peopling of the globe,

acclimatization, primitive man, formation of the human races, fossil

human races, present human races, and the physical and psychological

characters of mankind.

=STUDENTS' TEXT-BOOK OF COLOR; or, MODERN CHROMATICS.= With

Applications to Art and Industry. With 130 Original Illustrations, and

Frontispiece in Colors. By OGDEN N. ROOD, Professor of Physics in

Columbia College. 12mo, cloth, $2.00.

"In this interesting book Professor Rood, who, as a distinguished

Professor of Physics in Columbia College, United States, must be

accepted as a competent authority on the branch of science of which

he treats, deals briefly and succinctly with what may be termed the

scientific _rationale_ of his subject. But the chief value of his

work is to be attributed to the fact that he is himself an

accomplished artist as well as an authoritative expounder of

science."--_Edinburgh Review, October, 1879, in an article on "The

Philosophy of Color._"

=EDUCATION AS A SCIENCE.= By ALEXANDER BAIN, LL. D. 12mo, cloth,

$1.75.

"This work must be pronounced the most remarkable discussion of

educational problems which has been published in our day. We do not

hesitate to bespeak for it the widest circulation and the most

earnest attention. It should be in the hands of every school-teacher

and friend of education throughout the land."--_New York Sun._

=A HISTORY OF THE GROWTH OF THE STEAM-ENGINE.= By ROBERT H. THURSTON,

A. M., C. E., Professor of Mechanical Engineering in the Stevens

Institute of Technology, Hoboken, N. J., etc. With 163 Illustrations,

including 15 Portraits. 12mo, cloth, $2.50.

"Professor Thurston almost exhausts his subject; details of

mechanism are followed by interesting biographies of the more

important inventors. If, as is contended, the steam-engine is the

most important physical agent in civilizing the world, its history

is a desideratum, and the readers of the present work will agree

that it could have a no more amusing and intelligent historian than

our author."--_Boston Gazette._

=STUDIES IN SPECTRUM ANALYSIS.= By J. NORMAN LOCKYER, F. R. S.,

Correspondent of the Institute of France, etc. With 60 Illustrations.

12mo, cloth, $2.50.

"The study of spectrum analysis is one fraught with a peculiar

fascination, and some of the author's experiments are exceedingly

picturesque in their results. They are so lucidly described, too,

that the reader keeps on, from page to page, never flagging in

interest in the matter before him, nor putting down the book until

the last page is reached."--_New York Evening Express._

=GENERAL PHYSIOLOGY OF MUSCLES AND NERVES.= By Dr. I. ROSENTHAL,

Professor of Physiology at the University of Erlangen. With

seventy-five Woodcuts. ("International Scientific Series.") 12mo,

cloth, $1.50.

"The attempt at a connected account of the general physiology of

muscles and nerves is, as far as I know, the first of its kind. The

general data for this branch of science have been gained only within

the past thirty years."--_Extract from Preface._

=SIGHT=: An Exposition of the Principles of Monocular and Binocular

Vision By JOSEPH LE CONTE, LL. D., author of "Elements of Geology";

"Religion and Science"; and Professor of Geology and Natural History

in the University of California. With numerous Illustrations. 12mo,

cloth, $1.50.

"It is pleasant to find an American book which can rank with the

very best of foreign works on this subject. Professor Le Conte has

long been known as an original investigator in this department; all

that he gives us is treated with a master-hand."--_The Nation._

=ANIMAL LIFE=, as affected by the Natural Conditions of Existence. By

KARL SEMPER, Professor of the University of Wuerzburg. With 2 Maps and

106 Woodcuts, and Index. 12mo, cloth, $2.00.

"This is in many respects one of the most interesting contributions

to zooelogical literature which has appeared for some

time."--_Nature._

=THE ATOMIC THEORY.= By AD. WURTZ, Membre de l'Institut; Doyen

Honoraire de la Faculte de Medecine; Professeur a la Faculte des

Sciences de Paris. Translated by E. CLEMINSHAW, M. A., F. C. S., F. I.

C., Assistant Master at Sherborne School. 12mo, cloth, $1.50.

"There was need for a book like this, which discusses the atomic

theory both in its historic evolution and in its present form. And

perhaps no man of this age could have been selected so able to

perform the task in a masterly way as the illustrious French

chemist, Adolph Wurtz. It is impossible to convey to the reader, in

a notice like this, any adequate idea of the scope, lucid

instructiveness, and scientific interest of Professor Wurtz's book.

The modern problems of chemistry, which are commonly so obscure from

imperfect exposition, are here made wonderfully clear and

attractive."--_The Popular Science Monthly._

=THE CRAYFISH.= An Introduction to the Study of Zooelogy. By Professor

T. H. HUXLEY, F. R. S. With 82 Illustrations. 12mo, cloth, $1.75.

"Whoever will follow these pages, crayfish in hand, and will try to

verify for himself the statements which they contain, will find

himself brought face to face, with all the great zooelogical

questions which excite so lively an interest at the present day."

"The reader of this valuable monograph will lay it down with a

feeling of wonder at the amount and variety of matter which has been

got out of so seemingly slight and unpretending a

subject."--_Saturday Review._

=SUICIDE=: An Essay In Comparative Moral Statistics. By HENRY

MORSELLI, Professor of Psychological Medicine in Royal University,

Turin. 12mo, Cloth, $1.75.

"Suicide" is a scientific inquiry, on the basis of the statistical

method, into the laws of suicidal phenomena. Dealing with the

subject as a branch of social science, it considers the increase of

suicide in different countries, and the comparison of nations,

races, and periods in its manifestation. The influences of age, sex,

constitution, climate, season, occupation, religion, prevailing

ideas, the elements of character, and the tendencies of

civilization, are comprehensively analyzed in their bearing upon the

propensity to self-destruction. Professor Morselli is an eminent

European authority on this subject. It is accompanied by colored

maps illustrating pictorially the results of statistical inquiries.

=VOLCANOES: What they Are and what they Teach.= By J. W. JUDD,

Professor of Geology in the Royal School of Mines (London). With

Ninety-six Illustrations. 12mo. Cloth, $2.00.

"In no field has modern research been more fruitful than in that of

which Professor Judd gives a popular account in the present volume.

The great lines of dynamical, geological, and meteorological inquiry

converge upon the grand problem of the interior constitution of the

earth, and the vast influence of subterranean agencies.... His book

is very far from being a mere dry description of volcanoes and their

eruptions; it is rather a presentation of the terrestrial facts and

laws with which volcanic phenomena are associated."--_Popular

Science Monthly._

"The volume before us is one of the pleasantest science manuals we

have read for some time."--_Athenaeum._

"Mr. Judd's summary is so full and so concise that it is almost

impossible to give a fair idea in a short review."--_Pall Mall

Gazette._

=THE SUN.= By C. A. YOUNG, Ph. D., LL. D., Professor of Astronomy in

the College of New Jersey. With numerous Illustrations. 12mo. Cloth,

$2.00.

"Professor Young is an authority on 'The Sun,' and writes from

intimate knowledge. He has studied that great luminary all his life,

invented and improved instruments for observing it, gone to all

quarters of the world in search of the best places and opportunities

to watch it, and has contributed important discoveries that have

extended our knowledge of it.

"It would take a cyclopaedia to represent all that has been done

toward clearing up the solar mysteries. Professor Young has

summarized the information, and presented it in a form completely

available for general readers. There is no rhetoric in his book; he

trusts the grandeur of his theme to kindle interest and impress the

feelings. His statements are plain, direct, clear, and condensed,

though ample enough for his purpose, and the substance of what is

generally wanted will be found accurately given in his

pages."--_Popular Science Monthly._

=ILLUSIONS: A Psychological Study.= By JAMES SULLY, author of

"Sensation and Intuition," etc. 12mo. Cloth. $1.50.

This volume takes a wide survey of the field of error, embracing in

its view not only the illusions commonly regarded as of the nature

of mental aberrations or hallucinations, but also other illusions

arising from that capacity for error which belongs essentially to

rational human nature. The author has endeavored to keep to a

strictly scientific treatment--that is to say, the description and

classification of acknowledged errors, and the exposition of them by

a reference to their psychical and physical conditions.

"This is not a technical work, but one of wide popular interest, in

the principles and results of which every one is concerned. The

illusions of perception of the senses and of dreams are first

considered, and then the author passes to the illusions of

introspection, errors of insight, illusions of memory, and illusions

of belief. The work is a noteworthy contribution to the original

progress of thought, and may be relied upon as representing the

present state of knowledge on the important subject to which it is

devoted."--_Popular Science Monthly._

=THE BRAIN AND ITS FUNCTIONS.= By J. LUYS, Physician to the Hospice de

la Salpetriere. With Illustrations. 12mo. Cloth, $1.50.

"No living physiologist is better entitled to speak with authority

upon the structure and functions of the brain than Dr. Luys. His

studies on the anatomy of the nervous system are acknowledged to be

the fullest and most systematic ever undertaken. Dr. Luys supports

his conclusions not only by his own anatomical researches, but also

by many functional observations of various other physiologists,

including of course Professor Ferrier's now classical

experiments."--_St. James's Gazette._

"Dr. Luys, at the head of the great French Insane Asylum, is one of

the most eminent and successful investigators of cerebral science

now living; and he has given unquestionably the clearest and most

interesting brief account yet made of the structure and operations

of the brain. We have been fascinated by this volume more than by

any other treatise we have yet seen on the machinery of sensibility

and thought; and we have been instructed not only by much that is

new, but by many sagacious practical hints such as it is well for

everybody to understand."--_The Popular Science Monthly._

=THE CONCEPTS AND THEORIES OF MODERN PHYSICS.= By J. B. STALLO. 12mo.

Cloth, $1.75.

"Judge Stallo's work is an inquiry into the validity of those

mechanical conceptions of the universe which are now held as

fundamental in physical science. He takes up the leading modern

doctrines which are based upon this mechanical conception, such as

the atomic constitution of matter, the kinetic theory of gases, the

conservation of energy, the nebular hypothesis, and other views, to

find how much stands upon solid empirical ground, and how much rests

upon metaphysical speculation. Since the appearance of Dr. Draper's

'Religion and Science,' no book has been published in the country

calculated to make so deep an impression on thoughtful and educated

readers as this volume.... The range and minuteness of the author's

learning, the acuteness of his reasoning, and the singular precision

and clearness of his style, are qualities which very seldom have

been jointly exhibited in a scientific treatise."--_New York Sun._

=THE FORMATION OF VEGETABLE MOULD, THROUGH THE ACTION OF WORMS, WITH

OBSERVATIONS ON THEIR HABITS.= By CHARLES DARWIN, LL. D., F. R. S.,

author of "On the Origin of Species," etc., etc. With Illustrations.

12mo, cloth. Price, $1.50.

"Mr. Darwin's little volume on the habits and instincts of

earth-worms is no less marked than the earlier or more elaborate

efforts of his genius by freshness of observation, unfailing power

of interpreting and correlating facts, and logical vigor in

generalizing upon them. The main purpose of the work is to point out

the share which worms have taken in the formation of the layer of

vegetable mould which covers the whole surface of the land in every

moderately humid country. All lovers of nature will unite in

thanking Mr. Darwin for the new and interesting light he has thrown

upon a subject so long overlooked, yet so full of interest and

instruction, as the structure and the labors of the

earth-worm."--_Saturday Review._

"Respecting worms as among the most useful portions of animate

nature, Dr. Darwin relates, in this remarkable book, their structure

and habits, the part they have played in the burial of ancient

buildings and the denudation of the land, in the disintegration of

rocks, the preparation of soil for the growth of plants, and in the

natural history of the world."--_Boston Advertiser._

=ANTS, BEES, AND WASPS.= A Record of Observations on the Habits of the

Social Hymenoptera. By Sir JOHN LUBBOCK, Bart., M. P., F. R. S., etc.,

author of "Origin of Civilization, and the Primitive Condition of

Man," etc., etc. With Colored Plates. 12mo, cloth, $2.00.

"This volume contains the record of various experiments made with

ants, bees, and wasps during the last ten years, with a view to test

their mental condition and powers of sense. The principal point in

which Sir John's mode of experiment differs from those of Huber,

Forel, McCook, and others, is that he has carefully watched and

marked particular insects, and has had their nests under observation

for long periods--one of his ants' nests having been under constant

inspection ever since 1874. His observations are made principally

upon ants because they show more power and flexibility of mind; and

the value of his studies is that they belong to the department of

original research."

"We have no hesitation in saying that the author has presented us

with the most valuable series of observations on a special subject

that has ever been produced, charmingly written, full of logical

deductions, and, when we consider his multitudinous engagements, a

remarkable illustration of economy of time. As a contribution to

insect psychology, it will be long before this book finds a

parallel."--_London Athenaeum._

=DISEASES OF MEMORY=: An Essay in the Positive Psychology. By TH.

RIBOT, author of "Heredity," etc. Translated from the French by

William Huntington Smith. 12mo, cloth, $1.50.

"M. Ribot reduces diseases of memory to law, and his treatise is of

extraordinary interest."--_Philadelphia Press._

"Not merely to scientific, but to all thinking men, this volume will

prove intensely interesting."--_New York Observer._

"M. Ribot has bestowed the most painstaking attention upon his

theme, and numerous examples of the conditions considered greatly

increase the value and interest of the volume."--_Philadelphia North

American._

"To the general reader the work is made entertaining by many

illustrations connected with such names as Linnaeus, Newton, Sir

Walter Scott, Horace Vernet, Gustave Dore, and many

others."--_Harrisburg Telegraph._

"The whole subject is presented with a Frenchman's vivacity of

style."--_Providence Journal._

"It is not too much to say that in no single work have so many

curious cases been brought together and interpreted in a scientific

manner."--_Boston Evening Traveller._

=MYTH AND SCIENCE.= By TITO VIGNOLI. 12mo, cloth, price, $1.50.

"His book is ingenious; ... his theory of how science gradually

differentiated from and conquered myth is extremely well wrought

out, and is probably in essentials correct."--_Saturday Review._

"The book is a strong one, and far more interesting to the general

reader than its title would indicate. The learning, the acuteness,

the strong reasoning power, and the scientific spirit of the author,

command admiration."--_New York Christian Advocate._

"An attempt made, with much ability and no small measure of success,

to trace the origin and development of the myth. The author has

pursued his inquiry with much patience and ingenuity, and has

produced a very readable and luminous treatise."--_Philadelphia

North American._

"It is a curious if not startling contribution both to psychology

and to the early history of man's development."--_New York World._

=MAN BEFORE METALS.= By N. JOLY, Professor at the Science Faculty of

Toulouse; Correspondent of the Institute. With 148 Illustrations,

12mo. Cloth, $1.75.

"The discussion of man's origin and early history, by Professor De

Quatrefages, formed one of the most useful volumes in the

'International Scientific Series,' and the same collection is now

further enriched by a popular treatise on paleontology, by M. N.

Joly, Professor in the University of Toulouse. The title of the

book, 'Man before Metals,' indicates the limitations of the writer's

theme. His object is to bring together the numerous proofs,

collected by modern research, of the great age of the human race,

and to show us what man was, in respect of customs, industries, and

moral or religious ideas, before the use of metals was known to

him."--_New York Sun._

"An interesting, not to say fascinating volume."--_New York

Churchman._

=ANIMAL INTELLIGENCE.= By GEORGE J. ROMANES, F. R. S., Zooelogical

Secretary of the Linnaean Society, etc. 12mo. Cloth, $1.75.

"My object in the work as a whole is twofold: First, I have thought

it desirable that there should be something resembling a text-book

of the facts of Comparative Psychology, to which men of science, and

also metaphysicians, may turn whenever they have occasion to

acquaint themselves with the particular level of intelligence to

which this or that species of animal attains. My second and much

more important object is that of considering the facts of animal

intelligence in their relation to the theory of descent."--_From the

Preface._

"Unless we are greatly mistaken, Mr. Romanes's work will take its

place as one of the most attractive volumes of the 'International

Scientific Series.' Some persons may, indeed, be disposed to say

that it is too attractive, that it feeds the popular taste for the

curious and marvelous without supplying any commensurate discipline

in exact scientific reflection; but the author has, we think, fully

justified himself in his modest preface. The result is the

appearance of a collection of facts which will be a real boon to the

student of Comparative Psychology for this is the first attempt to

present systematically well-assured observations on the mental life

of animals."--_Saturday Review._

"The author believes himself, not without ample cause, to have

completely bridged the supposed gap between instinct and reason by

the authentic proofs here marshaled of remarkable intelligence in

some of the higher animals. It is the seemingly conclusive evidence

of reasoning; powers furnished by the adaptation of means to ends in

cases which can not be explained on the theory of inherited aptitude

or habit."--_New York Sun._

=THE SCIENCE OF POLITICS.= By SHELDON AMOS, M. A., author of "The

Science of Law," etc. 12mo. Cloth, $1.75.

"To the political student and the practical statesman it ought to be

of great value."--_New York Herald._

"The author traces the subject from Plato and Aristotle in Greece,

and Cicero in Rome, to the modern schools in the English field, not

slighting the teachings of the American Revolution or the lessons of

the French Revolution of 1793. Forms of government, political terms,

the relation of law, written and unwritten, to the subject, a

codification from Justinian to Napoleon in France and Field in

America, are treated as parts of the subject in hand. Necessarily

the subjects of executive and legislative authority, police, liquor,

and land laws are considered, and the question ever growing in

importance in all countries, the relations of corporations to the

state."--_New York Observer._

=THE FUNDAMENTAL CONCEPTS OF MODERN PHILOSOPHIC THOUGHT, CRITICALLY

AND HISTORICALLY CONSIDERED.= By RUDOLPH EUCKEN, Ph. D., Professor in

Jena. With an Introduction by NOAH PORTER, President of Yale College.

One vol., 12mo, 304 pages. Cloth. Price, $1.75.

President Porter declares of this work that "there are few books

within his knowledge which are better fitted to aid the student who

wishes to acquaint himself with the course of modern speculation and

scientific thinking, and to form an intelligent estimate of most of

the current theories."

=MIND IN THE LOWER ANIMALS IN HEALTH AND DISEASE.= By W. LAUDER

LINDSAY, M. D., F. R. S. E., etc. 2 vols., 8vo. Cloth, $4.00.

"The author of this work, which, regarded merely as an accumulation

of verified and classified facts, is a unique and precious

contribution to the data of comparative psychology, claims that he

entered on his inquiry without any theory to defend, support, or

illustrate. We are bound to say that, while his general conclusions

are boldly and continually avowed, his claim of fairness and caution

is justified by his method of examining particular phenomena; that

he seems willing at all times to renounce any impression or belief

which is shown to be scientifically untenable."--_New York Sun._

"In this work--two volumes of over 500 pages--Dr. Lindsay marshals a

proportionately large number of facts against those philosophers who

maintain that the intelligence of man differs in kind and not simply

in degree from that of the lower animals. It is one purpose of his

book to show that the main differences between man and the lower

animals exist rather in their physical than in their mental

structure. In this way of thinking, all animals possess not the

semblance of, but the true substance of mind and will."--_New York

World._

"So far as we are aware there has been no treatise upon the subject

of animal intelligence so broad in its foundations, so well

considered, or so scientific in its methods of inquiry, as that

which has been prepared by Dr. W. Lauder Lindsay in two large

volumes, the first being devoted to a study of animal mind in

health, and the second to animal mind in disease. We may safely say

that his work is, in some respects, the most important essay of the

kind that has yet been undertaken. His observations have been

supplemented by a thorough mastery of the history and literature of

the subject, and hence his conclusions rest upon the broadest

possible foundation of safe induction. There is a good analytical

index to the book, as there ought to be to every work of the

kind."--_New York Evening Post._

=THE ELEMENTARY PRINCIPLES OF SCIENTIFIC AGRICULTURE.= By N. T.

LUPTON, LL. D., Professor of Chemistry in Vanderbilt University,

Nashville, Tenn. 18mo. Cloth. Price, 45 cents.

=A GLOSSARY OF BIOLOGICAL, ANATOMICAL, AND PHYSIOLOGICAL TERMS.= By

THOMAS DUNMAN. Small 8vo. Cloth. 161 pages. Price, $1.00.

"It has been the author's task to furnish here a small and

convenient but very complete glossary of those terms; and he has

done this so well, both in his choice of terms for definition and in

his clear exposition of their etymological and technical meaning, as

to leave nothing to be desired in this direction."--_New York

Evening Post._

_For sale by all booksellers, or any work sent by mail, post-paid,

on receipt of price._

D. APPLETON & CO., Publishers,

1, 3, & 5 Bond Street, New York.

SCIENTIFIC LECTURES AND ESSAYS.

=Popular Lectures on Scientific Subjects.= By H. HELMHOLTZ, Professor

of Physics in the University of Berlin. First Series. Translated by E.

ATKINSON, Ph. D., F. C. S. With an Introduction by Professor TYNDALL.

With 51 Illustrations. 12mo. Cloth, $2.00.

_CONTENTS._--On the Relation of Natural Science to Science in

General.--On Goethe's Scientific Researches.--On the Physiological

Causes of Harmony in Music--Ice and Glaciers.--Interaction of the

Natural Forces.--The Recent Progress of the Theory of Vision.--The

Conservation of Force.--Aim and Progress of Physical Science.

=Popular Lectures on Scientific Subjects.= By H. HELMHOLTZ. Second

Series. 12mo. Cloth, $1.50.

_CONTENTS._--Gustav Magnus.--In Memoriam.--The Origin and

Significance of Geometrical Axioms.--Relation of Optics to

Painting.--Origin of the Planetary System.--On Thought in

Medicine.--Academic Freedom in German Universities.

"Professor Helmholtz's second series of 'Popular Lectures on

Scientific Subjects' forms a volume of singular interest and value.

He who anticipates a dry record of facts or a sequence of immature

generalization will find himself happily mistaken. In style and

method these discourses are models of excellence, and, since they

come from a man whose learning and authority are beyond dispute,

they may be accepted as presenting the conclusions of the best

thought of the times in scientific fields."--_Boston Traveler._

=Science and Culture, and other Essays.= By Professor T. H. HUXLEY, F.

R. S. 12mo. Cloth, $1.50.

"Of the essays that have been collected by Professor Huxley in this

volume, the first four deal with some aspect of education. Most of

the remainder are expositions of the results of biological research,

and, at the same time, illustrations of the history of scientific

ideas. Some of these are among the most interesting of Professor

Huxley's contributions to the literature of science."--_London

Academy._

"It is refreshing to be brought into converse with one of the most

vigorous and acute thinkers of our time, who has the power of

putting his thoughts into language so clear and forcible."--_London

Spectator._

=Scientific Culture, and other Essays.= By JOSIAH PARSONS COOKE,

Professor of Chemistry and Mineralogy in Harvard College. 12mo. Cloth,

$1.00.

These essays are an outcome of a somewhat large experience in

teaching physical science to college students. Cambridge,

Massachusetts, early set the example of making the student's own

observations in the laboratory or cabinet the basis of all teaching,

either in experimental or natural history science; and this example

has been generally followed. "But in most centers of education,"

writes Professor Cooke, "the old traditions so far survive that the

great end of scientific culture is lost in attempting to conform

even laboratory instruction to the old academic methods of

recitations and examinations. To point out this error, and to claim

for science-teaching its appropriate methods, was one object of

writing these essays."

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A History of the Growth of the Steam-Engine · 第 9 / 9 章