Эрнст Мах

«Популярные научные лекции»

Страница 10 из 12 · 56 073 зн. · 66 мин. чтения

Различные психические качества, по-видимому, находятся в очень тесной взаимной связи друг с другом. Специальное исследование по этому предмету, а также демонстрация того, что это замечание может быть общеприменимо в физике, последуют позже.

ПРЕДМЕТНЫЙ УКАЗАТЕЛЬ.

Absolute, temperature, 162;

time, 204;

forecasts, have no signification in science, 206.

Abstract, meaning of the term, 240.

Abstraction, 180, 200, 208, 231.

Acceleration, organ for forward, 299 et seq.

Accelerations, 204, 216, footnote, 225-226, 253.

Accident, logical and historical, in science, 160, 168, 170, 213;

in inventions and discoveries, 262 et seq.

Accord, the pure triple, 46.

Accumulators, electrical, 125 et seq.;

132, сноска.

Acoustic color, 36.

Acoustics, Sauveur on, 375 et seq.

Action and reaction, importance of the principle of, 191.

Adaptation, in organic and inorganic matter, 216, 229;

in scientific thought, 214-235.

Æsthetics, computation as a principle of, 34;

researches in, 89, footnote;

repetition, a principle of, 91.

Africa, 186, 234, 237.

Agreeable effects, due to repetition of sensations, 92, 97 et seq.

Agriculture, transition to, 265.

Air-gun, 135.

Alcohol and water, mixture of oil and, in Plateau's experiments, 4.

Algebra, economy of, 196.

Alien thoughts in science, 196.

All, the, 88.

Amontons, 174, 346.

Ampère, the word, 314.

Ampère's swimmer, 207.

Analogies, mechanical, 157, 160;

generally, 236-258.

Analogy, defined, 250.

Analysis, 188.

Analytical geometry, not necessary to physicians, 370, footnote.

Anatomic structures, transparent stereoscopic views of, 74.

Anatomy, character of research in, 255.

Andrieu, Jules, 49, footnote.

Animals, the psychical activity of, 190, 231;

the language of, 238;

their capacity for experience, 266 et seq.

Animism, 186, 187, 243, 254.

Anisotropic optical fields, 227.

Apparatus for producing movements of rotation, 287 et seq.

Arabesque, an inverted, 95.

Arabian Nights, 219.

Arago, 270.

Aral, the Sea of, 239.

Archæopteryx, 257.

Archimedes, 4, 237.

Arcimboldo, Giuseppe, 36.

Area, principle of least superficial, 10 et seq.

Ares, the bellowing of the wounded, 272.

Aristotelians, 283.

Aristotle, 348, 296.

Art, development of, 28 et seq.

Artillery, practical, 334-335.

Artistic value of scientific descriptions, 254.

Arts, practical, 108.

Ascent, heights of, 143-151.

Азия, 234.

Assyrians, the art of, 79.

Astronomer, measures celestial by terrestrial distances, 136.

Astronomy, antecedent to psychology, 90;

rigidity of its truths, 221.

Atomic theories, 104.

Atoms, 207.

Attention, the rôle of, in sensuous perception, 35 et seq.

Attraction, generally, 226;

of liquid particles, 13-14;

in electricity, 109 et seq.

Aubert, 298.

Слух. См. Ухо.

Austrian gymnasiums, 370, footnote.

Axioms, instinctive knowledge, 190.

Babbage, on the economy of machinery, 196.

Bach, 20.

Backwards, prophesying, 253.

Bacon, Lord, 48, 280.

Baer, C. E. von, 235.

Balance, electrical, 127, footnote;

torsion, 109, 168.

Balloon, a hydrogen, 199.

Barbarism and civilisation, 335 et seq.

Bass-clef, 101.

Bass, fundamental, 44.

Beats, 40-45, 377 et seq.

Beautiful, our notions of, variable, 99.

Beauty, objects of, in nature, 91.

Becker, J. K., 364, 369.

Beethoven, 39, 44.

Beginnings of science, 189, 191.

Belvedere Gallery at Vienna, 36.

Bernoulli, Daniel, on the conservation of living force, 149;

on the vibrations of strings, 249.

Bernoulli, James, on the centre of oscillation, 149.

Bernoulli, John, on the conservation of living force, 149;

on the principle of virtual velocities, 151.

Bible, parallel passages from, for language study, 356.

Binocular vision, 66 et seq.

Black, his theory of caloric, 138, 162;

on quantity of heat, 166, 174;

on latent heat, 167, 178;

researches in heat generally, 244.

Blind cat, 303.

Bodies, heavy, seek their places, 224 et seq.;

rotating, 285.

Body, a mental symbol for groups of sensations, 200-203;

the human, our knowledge of, 90.

Boltzmann, 236.

Booth, Mr., 77.

Borelli, 217.

Boulder, a granite, 233.

Bow-wave of ships and moving projectiles, 323 et seq.

Boys, 317.

Bradley, 273.

Brahman, the, 63.

Brain, localisation of functions in, 210.

Breuer, 272, 282 et seq., 293, 298, 300, 301, 303, 306.

Brewster, his stereoscope, 73.

Bridge, invention of the, 264, 268.

British Association, 108.

Brooklyn Bridge, 75, footnote.

Brown, Crum, 293, 301.

Building, our concepts directions for, 253;

facts the result of, 253;

science compared to, 257.

Building-stones, metrical units are, 253.

Busch, 328.

Business of a merchant, science compared to the, 16.

Butterfly, a, 22.

Calculating machines, their economical character, 196.

Caloric, theory of, stood in the way of scientific advancement, 138, 167.

Calypso, the island of, 351.

Canterbury, Archbishop of, 39.

Cantor, M., 361, footnote.

Capacity, electrical, 116 et seq., 123;

thermal, 123;

specific inductive, 117.

Capulets and Montagues, 87.

Cards, difficult games of, 357.

Carnot, S., excludes perpetual motion in heat, 156, 162;

his mechanical view of physics, 156;

on thermodynamics, 160 et seq.;

his principle, 162;

also, 191.

Carus, Dr. Paul, 265, footnote.

Casselli's telegraph, 26.

Cassini, 51.

Cauchy, character of the intellectual activity of a, 195.

Causal insight, awakened by science, 357.

Causality, 157-159, 190, 198 et seq., 221 et seq., 237, 253, 254.

Cause and effect, 198 et seq. See also Causality.

Centimetre-gramme-second system, 111.

Centre of gravity, must lie as low as possible for equilibrium to subsist, 15;

Torricelli's principle of, 150 et seq.

Centre of oscillation, 149.

Change, method of, in science, 230.

Changeable character of bodies, 202.

Changes, physical, how they occur, 205.

Character, a Universal Real, 192.

Character, like the forms of liquids, 3;

persons of, 24.

Charles the Fifth, 369.

Chemical, elements, 202;

symbols, 192;

current, 118.

Chemistry, character of research in, 255;

the method of thermodynamics in, 257.

Child, a, modes of thought of, 223;

looking into a moat, 208.

Child of the forest, his interpretation of new events, 218-219.

Childish questions, 199-200.

Children, the drawings of, 201-202.

Chinese language, economy of, 192;

study of, 354.

Chinese philosopher, an old, 186.

Chinese, speak with unwillingness of politics, 374;

the art of, 79-80.

Chosen, many are called but few are, 65.

Christ, saying of, 65.

Christianity, Latin introduced with, 311.

Christians and Jews, monotheism of the, 187.

Church and State, 88.

Cicero, 318.

Circe, 372.

Circle, the figure of least area with given periphery, 12.

Circular polarisation, 242.

Civilisation and barbarism, 335 et seq.

Civilisation, some phenomena of, explained by binocular vision, 74.

Civilised man, his modes of conception and interpretation, 219.

Clapeyron, 162.

Class-characters of animals, 255.

Classical, culture, the good and bad effects of, 347;

scholars, not the only educated people, 345.

Classics, on instruction in, 338-374;

the scientific, 368.

Classification in science, 255.

Clausius, on thermodynamics, 165;

on reversible cycles, 176.

Claviatur, Mach's, 42-43.

Club-law, 335.

Cochlea, the, a species of piano-forte, 19.

Cockchafer, 86.

Coefficient of self-induction, 250, 252.

Colophonium, solution of, 7.

Color, acoustic, 36.

Color-sensation, 210.

Color-signs, their economy, 192.

Colors, origin of the names of, 239.

Column, body moving behind a, 202.

Communication, its functions, import and fruits, 197, 238 et seq.;

by language, 237;

high importance of, 191 et seq.

Comparative physics, 239.

Comparison in science, 231, 238 et seq.

Computation, a principle of æsthetics, 34.

Concepts, abstract, defined, 250-252;

metrical, in electricity, 107 et seq.

Conceptual, meaning of the term, 240.

Conceptual thought, 192.

Concha, 18.

Condensers, electrical, 125 et seq. 132, footnote.

Проводники и непроводники. См. Электрические и т. д.

Conformity in the deportment of the energies, 171-175.

Confusion of objects, cause of, 95.

Conic sections, 257.

Conical refraction, 29, 242.

Conservation of energy, 137 et seq. See Energy.

Conservation of weight or mass, 203.

Consonance, connexion of the simple natural numbers with, 33;

Euclid's definition of, 33;

explanation of, 42;

scientific definition of, 44;

and dissonance reduced to beats, 376, 370, 383.

Consonant intervals, 43.

Constancy of matter, 203.

Constant, the dielectric, 117.

Constants, the natural, 193.

Continuum of facts, 256 et seq.

Cornelius, 388, footnote.

Corti, the Marchese, his discovery of minute rods in the labyrinth of the ear, 19.

Coulomb, his electrical researches, 108, 109, 113;

his notion of quantity of electricity, 173;

his torsion-balance, 168.

Crew, Prof. Henry, 317, footnote.

Criticism, Socrates the father of scientific, 1, 16.

Critique of Pure Reason, Kant's, 188.

Crucible, derivation of the word, 49, footnote.

Crustacea, auditory filaments of, 29, 272, 302.

Cube of oil, 5.

Culture, ancient and modern, 344.

Currents, chemical, 118;

electrical, 118;

galvanic, 132;

measurement of electrical, 135-136;

of heat, 244, 249-250;

strength of, 250.

Curtius, 356.

Curved lines, their asymmetry, 98.

Curves, how their laws are investigated, 206.

Cycles, reversible, Clausius on, 176.

Cyclical processes, closed, 175.

Cyclops, 67.

Cyclostat, 298.

Cylinder, of oil, 6;

mass of gas enclosed in a, 179.

D'Alembert, on the causes of harmony, 34;

his principle, 142, 149, 154;

also 234, 279.

Danish schools, 338, footnote.

Darwin, his study of organic nature, 215 et seq.;

his methods of research, 216.

Deaf and dumb, not subject to giddiness, 299.

Deaf person, with a piano, analyses sounds, 27.

Death and life, 186.

Definition, compendious, 197.

Deiters, 19.

Delage, 298, 301, 302.

Democritus, his mechanical conception of the world, 155, 187.

Demonstration, character of, 362.

Deportment of the energies, conformity in the, 171-175.

Derivation, laws only methods of, 256.

Descent, Galileo's laws of, 193;

generally, 143 et seq., 204, 215.

Description, 108, 191, 236, 237;

a condition of scientific knowledge, 193;

direct and indirect, 240;

in physics, 197, 199.

Descriptive sciences, their resemblance to the abstract, 248.

Determinants, 195.

Diderot, 234.

Dielectric constant, the, 117.

Difference-engine, the, 196.

Differential coefficients, their relation to symmetry, 98.

Differential laws, 204.

Differential method, for detecting optical imperfections, 317.

Diffraction, 91, 194.

Diffusion, Fick's theory of, 249.

Discharge of Leyden jars, 114 et seq.

Discoveries, the gist of, 270, 375.

Discovery and invention, distinction between, 269.

Dissonance, explanation of, 42;

definition of, 33, 44. See Consonance.

Distances, estimation of, by the eye, 68 et seq.

Dogs, like tuning-forks, 23;

their mentality, 190.

Domenech, Abbé, 92.

Dramatic element in science, 243.

Drop of water, on a greased plate, 8;

on the end of a stick, 8;

in free descent, 8.

Dubois, 218.

Dubois-Reymond, 370, footnote.

Dufay, 271.

Dynamics, foundations of, 153 et seq.

Ear, researches in the theory of, 17 et seq.;

diagram of, 18;

its analysis of sounds, 20 et seq.;

a puzzle-lock, 28;

reflected in a mirror, 93;

no symmetry in its sensation, 103.

Earth, its oblateness not due to its original fluid condition, 2;

rotation of, 204;

internal disturbances of, 285.

Economical, nature of physical inquiry, 186;

procedure of the human mind, 186;

order of physics, 197;

schematism of science, 206;

tools of science, 207;

coefficient of dynamos, 133.

Economy, of the actions of nature, 15;

the purpose of science, 16;

of language, 191 et seq.;

of the industrial arts, 192;

of mathematics, 195-196;

of machinery, 196;

of self-preservation, our first knowledge derived from, 197;

generally, 186 et seq., 269.

Education, higher, 86;

liberal, 341 et seq., 371.

Efflux, liquid, 150.

Ego, its nature, 234-235.

Egypt, 234.

Egyptians, art of, 78 et seq., 201.

Eighteenth century, the scientific achievements of, 187, 188.

Eleatics, on motion, 158.

Electrical, attraction and repulsion, 109 et seq., 168;

capacity, 116 et seq.;

force, 110, 119, 168;

spark, 117, 127, 132, 133, 190;

energy, measurement of, 128 et seq., 169;

currents, conceptions of, 118, 132, 135-136, 226-227, 249, 250;

fluids, 112 et seq., 228;

pendulums, 110;

levels, 173;

potential, 121 et seq.;

quantity, 111, 118, 119.

Electricity, as a substance and as a motion, 170;

difference between the conceptions of heat and, 168 et seq.,

rôle of work in, 120 et seq.;

galvanic, 134.

См. Электрические.

Electrometer, W. Thomson's absolute, 127, footnote.

Electrometers, 122, 127.

Electrostatic unit, 111.

Electrostatics, concepts of, 107 et seq.

Elements, interdependence of the sensuous, 179;

of bodies, 202;

of phenomena, equations between, 205;

of sensations, 200;

used instead of sensations, 208-209.

Ellipse, equation of, 205;

the word, 342.

Embryology, possible future state of, 257.

Energies, conformity in the deportment of, 171-175;

differences of, 175.

Energy, a metrical notion, 178;

conservation of, 137 et seq.;

defined, 139;

metaphysical establishment of the doctrine of, 183;

kinetic, 177;

potential, 128 et seq.;

substantial conception of, 164, 185, 244 et seq.;

conservation of, in electrical phenomena, 131 et seq.;

limits of principle of, 175;

principle of, in physics, 160-166;

sources of principle of, 179, 181;

thermal, 177;

Thomas Young on, 173.

Energy-value of heat, 178, footnote.

Enlightenment, the, 188.

Entropy, a metrical notion, 178.

Environment, stability of our, 206.

Equations for obtaining facts, 180;

between the elements of phenomena, 205.

Equilibrium, conditions of, in simple machines, 151;

figures of liquid, 4 et seq.;

general condition of, 15;

in the State, 15.

Etymology, the word, misused for entomology, 316.

Euclid, on consonance and dissonance, 33;

his geometry, 364.

Euler, on the causes of harmony, 34;

impression of the mathematical processes on, 196;

on the vibrations of strings, 249, 285, 376.

Euler and Hermann's principle, 149.

Euthyphron, questioned by Socrates, 1.

Evolute, the word, 342.

Evolution, theory of, as applied to ideas, 216 et seq.

Ewald, 298, 304.

Excluded perpetual motion, logical root of the principle of, 182.

Exner, S., 302, 305.

Experience, communication of, 191;

our ready, 199;

the principle of energy derived from, 179;

the wellspring of all knowledge of nature, 181;

incongruence between thought and, 206.

Experimental research, function of, 181.

Explanation, nature of, 194, 237, 362.

Eye, cannot analyse colors, 20;

researches in the theory of the, 18 et seq.;

loss of, as affecting vision, 98.

Eyes, purpose of, 66 et seq.;

their structure symmetrical not identical, 96.

Face, human, inverted, 95.

Facts and ideas, necessary to science, 231.

Facts, description of, 108;

agreement of, 180;

relations of, 180;

how represented, 206;

reflected in imagination, 220 et seq.;

the result of constructions, 253;

a continuum of, 256 et seq.;

equations for obtaining, 180.

Falling bodies, 204, 215;

Galileo on the law of, 143 et seq., 284.

Falling, cats, 303, footnote.

Falstaff, 309.

Familiar intermediate links of thought, 198.

Faraday, 191, 217, 237;

his conception of electricity, 114, 271.

Fechner, theory of Corti's fibres, 19 et seq.

Feeling, cannot be explained by motions of atoms, 208 et seq.

Fetishism, 186, 243, 254;

in our physical concepts, 187.

Fibres of Corti, 17 et seq.

Fick, his theory of diffusion, 249.

Figures, symmetry of, 92 et seq.

Figures of liquid equilibrium, 4 et seq.

Fire, use of, 264.

Fishes, 306.

Fixed note, determining of a, 377.

Fizeau, his determination of the velocity of light, 55 et seq.

Flats, reversed into sharps, 101.

Flouren's experiments, 272, 290.

Flower-girl, the baskets of a, 95.

Fluids, electrical, 112 et seq.

Force, electric, 110, 119, 168;

единица 111;

living, 137, 149, 184;

в общем 253.

См. связанные заголовки.

Forces, will compared to, 254.

Foreseeing events, 220 et seq.

Formal conceptions, rôle of, 183.

Formal need of a clear view of facts, 183, 246;

how far it corresponds to nature, 184.

Formative forces of liquids, 4.

Forms of liquids, 3 et seq.

Forward movement, sensation of, 300.

Forwards, prophesying, 253.

Foucault, 57, 70, 296.

Foucault and Toepler, method of, for detecting optical faults, 313 et seq., 320.

Foundation of scientific thought, primitive acts of knowledge, the, 190.

Fourier, on processes of heat, 249, 278.

Fox, a, 234.

Franklin's pane, 116.

Frary, 338, footnote.

Fraunhofer, 271.

Freezing-point, lowered by pressure, 162.

Fresnel, 271.

Fritsch, 321.

Frogs, larvæ of, not subject to vertigo, 298.

Froude, 333.

Frustra, misuse of the word, 345.

Future, science of the, 213.

Galileo, on the motion of pendulums, 21;

his attempted measurement of the velocity of light, 50 et seq.;

his exclusion of a perpetual motion, 143;

on velocities acquired in free descent, 143-147;

on the law of inertia, 146-147;

on virtual velocities, 150;

on work, 172;

his laws of descent, 193;

on falling bodies, 225;

great results of his study of nature, 214 et seq.;

his rude scientific implements, 215;

selections from his works for use in instruction, 368;

also 105, 182, 187, 237, 272, 274, 283.

Galle, observes the planet Neptune, 29.

Galvanic, electricity, 134;

current, 132;

dizziness, 291;

vertigo, 298.

Galvanoscope, 135.

Galvanotropism, 291.

Garda, Lake, 239.

Gas, the word, 264;

mass of, enclosed in a cylinder, 179.

Gases, tensions of, for scales of temperature, 174.

Gauss, on the foundations of dynamics, 154;

his principle, 154;

also, 108, 274.

Genius, 279, 280.

Geography, comparison in, 239.

Geometers, in our eyes, 72.

Geotropism, 289.

German schools and gymnasiums, 372, 373, 338, footnote.

Ghosts, photographic, 73.

Glass, invisible in a mixture of the same refrangibility, 312;

powdered, visible in a mixture of the same refrangibility, 312.

Glove, in a mirror, 93.

Goethe, quotations from, 9, 31, 49, 88;

on the cause of harmony, 35.

Goltz, 282, 291.

Gossot, 332.

Gothic cathedral, 94.

Gravitation, discovery of, 225 et seq.

Gravity, how to get rid of the effects of, in liquids, 4;

также 228.

Gray, Elisha, his telautograph, 26.

Greased plate, drop of water on a, 8.

Great minds, idiosyncrasies of, 247.

Greek language, scientific terms derivedfrom, 342-343;

common words derived from, 343, footnote;

still necessary for some professions, 346;

its literary wealth, 347-348;

narrowness and one-sidedness of its literature, 348-349;

its excessive study useless, 349-350;

its study sharpens the judgment, 357-358;

a knowledge of it not necessary to a liberal education, 371.

Greeks, their provinciality and narrow-mindedness, 349;

now only objects of historical research, 350.

Griesinger, 184.

Grimaldi, 270.

Grimm, 344, footnote.

Grunting fishes, 306.

Habitudes of thought, 199, 224, 227, 232.

Haeckel, 222, 235.

Hamilton, deduction of the conical refraction of light, 29.

Hankel, 364.

Harmonics, 38, 40.

Harmony, on the causes of, 32 et seq.;

laws of the theory of, explained, 30;

the investigation of the ancients concerning, 32;

generally, 103.

См. Консонанс.

Harris, electrical balance of, 127, footnote.

Hartwich, Judge, 343, 353, footnote.

Hat, a high silk, 24.

Hats, ladies', development of, 64.

Head-wave of a projectile, 323 et seq.

Hearing and orientation, relation between, 304 et seq.

Heat, a material substance, 177;

difference between the conceptions of electricity and, 168 et seq.;

substantial conception of, 243 et seq.;

Carnot on, 156, 160 et seq.;

Fourier on the conduction of, 249;

not necessarily a motion, 167, 170, 171;

mechanical equivalent of, 164, 167;

of liquefaction, 178;

quantity of, 166;

latent, 167, 178, 244;

specific, 166, 244;

the conceptions of, 160-171;

machine, 160;

a measure of electrical energy, 133 et seq.;

mechanical theory of, 133;

откуда он берется? 200.

Heavy bodies, sinking of, 222.

Heights of ascent, 143-151.

Helm, 172.

Helmholtz, applies the principle of energy to electricity, 184;

his telestereoscope, 84;

his theory of Corti's fibres, 19 et seq.;

on harmony, 35, 99;

on the conservation of energy, 165, 247;

his method of thought, 247;

also 138, 305, 307, 375, 383.

Hensen, V., on the auditory function of the filaments of Crustacea, 29, 302.

Herbart, 386 et seq.

Herbartians, on motion, 158.

Herculaneum, art in, 80.

Heredity, in organic and inorganic matter, 216, footnote.

Hering, on development, 222;

on vision, 210.

Hermann, E., on the economy of the industrial arts, 192.

Hermann, L., 291.

Herodotus, 26, 234, 347, 350.

Hertz, his waves, 242;

его использование фразы «пророчествовать», 253.

Herzen, 361, footnote.

Hindu mathematicians, their beautiful problems, 30.

Holtz's electric machine, 132.

Horse, 63.

Household, physics compared to a well-kept, 197.

Housekeeping in science and civil life, 198.

Hudson, the, 94.

Human beings, puzzle-locks, 27.

Human body, our knowledge of, 90.

Human mind, must proceed economically, 186.

Humanity, likened to a polyp-plant, 235.

Huygens, his mechanical view of physics, 155;

on the nature of light and heat, 155-156;

his principle of the heights of ascent, 149;

on the law of inertia and the motion of a compound pendulum, 147-149;

on the impossible perpetual motion, 147-148;

on work, 173;

selections from his works for use in instruction, 368;

his view of light, 227-228, 262.

Гюйгенс, оптический метод обнаружения несовершенств в оптических стеклах 313.

Hydrogen balloon, 199.

Hydrostatics, Stevinus's principle of, 141.

Hypotheses, their rôle in explanation, 228 et seq.

Ichthyornis, 257.

Ichthyosaurus, 63.

Idea? what is a theoretical, 241.

Idealism, 209.

Ideas, a product of organic nature, 217 et seq.;

and facts, necessary to science, 231;

not all of life, 233;

their growth and importance, 233;

a product of universal evolution, 235;

the history of, 227 et seq.;

in great minds, 228;

the rich contents of, 197;

their unsettled character in common life, their clarification in science, 1-2.

Ideography, the Chinese, 192.

Imagery, mental, 253.

Imagination, facts reflected in, 220 et seq.

Inclined plane, law of, 140-141.

Incomprehensible, the, 186.

Indian, his modes of conception and interpretation, 218 et seq.

Individual, a thread on which pearls are strung, 234-235.

Industrial arts, economy of the, E. Hermann on, 192.

Inertia, law of, 143 et seq., 146 et seq., 216, footnote, 283 et seq.

Innate concepts of the understanding, Kant on, 199.

Innervation, visual, 99.

Inquirer, his division of labor, 105;

compared to a shoemaker, 105-106;

what constitutes the great, 191;

the true, seeks the truth everywhere, 63 et seq.;

the, compared to a wooer, 45.

Instinctive knowledge, 189, 190.

Instruction, aim of, the saving of experience, 191;

in the classics, mathematics, and sciences, 338-374;

limitation of matter of, 365 et seq.

Insulators, 130.

Integrals, 195.

Intellectual development, conditions of, 286 et seq.

Intentions, acts of nature compared to, 14-15.

Interconnexion of nature, 182.

Interdependence, of properties, 361;

of the sensuous elements of the world, 179.

Interference experiments with the head-wave of moving projectiles, 327-328.

International intercourse, established by Latin, 341.

International measures, 108.

Invention, discovery and, distinction between, 269.

Inventions, requisites for the development of, 266, 268 et seq.

Iron-filings, 220, 243.

Italian art, 234.

Jacobi, C. G. J., on mathematics, 280.

James, W., 275, 299.

Java, 163.

Jews and Christians, monotheism of the, 187.

Jolly, Professor von, 112, 274.

Joule, J. P., on the conservation of energy, 163-165, 167, 183;

his conception of energy, 245;

his metaphysics, 183, 246;

his method of thought, 247;

also 137, 138.

Journée, 317.

Judge, criminal, the natural philosopher compared to a, 48.

Judgment, essentially economy of thought, 201-202;

sharpened by languages and sciences, 357-358;

also 232-233, 238.

Juliet, Romeo and, 87.

Jupiter, its satellites employed in the determination of the velocity of light, 51 et seq.

Jurisprudence, Latin and Greek unnecessary for the study of, 346, footnote.

Kant, his hypothesis of the origin of the planetary system, 5;

his Critique of Pure Reason, 188;

on innate concepts of the understanding, 199;

on time, 204;

also footnote, 93.

Kepler, 187, 270.

Kinetic energy, 177.

Kirchhoff, his epistemological ideas, 257-258;

his definition of mechanics, 236, 258, 271, 273.

Knight, 289.

Knowledge, a product of organic nature, 217 et seq., 235;

instinctive, 190;

made possible by economy of thought, 198;

our first, derived from the economy of self-preservation, 197;

the theory of, 203;

our primitive acts of the foundation of science, 190.

Kocher, 328.

Koenig, measurement of the velocity of sound, 57 et seq.

Kölliker, 19.

Kopisch, 61.

Kreidl, 299, 302, 306;

his experiments, 272.

Krupp, 319.

Labels, the value of, 201.

Labor, the accumulation of, the foundation of wealth and power, 198;

inquirer's division of, 105, 258.

Labyrinth, of the ear, 18, 291, 305.

Lactantius, on the study of moral and physical science, 89.

Ladder of our abstraction, the, 208.

Ladies, their eyes, 71;

like tuning-forks, 23-24.

Lagrange, on Huygens's principle, 149;

on the principle of virtual velocities, 150-155;

character of the intellectual activity of a, 195, 278.

Lake-dwellers, 46, 271.

Lamp-shade, 70.

Lane's unit jar, 115.

Language, knowledge of the nature of, demanded by a liberal education, 356;

relationship between, and thought, 358;

общение посредством 237;

economy of, 191 et seq.;

human its character, 238;

of animals, 238;

instruction in, 338 et seq.;

its methods, 192.

Laplace, on the atoms of the brain, 188;

on the scientific achievements of the eighteenth century, 188;

his hypothesis of the origin of the planetary system, 5.

Latent heat, 167, 178, 244.

Latin city of Maupertuis, 339.

Latin, instruction in, 311 et seq.;

introduced with the Christian Church, 340;

язык ученых, средство международного общения, его сила, полезность и окончательный отказ, 341-347;

the wealth of its literature, 348;

the excessive study of, 346, 349, 354, 355;

its power to sharpen the judgment, 357-358.

Lavish extravagance of science, 189.

Law, a, defined, 256;

a natural, not contained in the conformity of the energies, 175.

Law-maker, motives of not always discernible, 9.

Layard, 79.

Learning, its nature, 366 et seq.

Least superficial area, principle of, accounted for by the mutual attractions of liquid particles, 13-14;

illustrated by a pulley arrangement, 12-13;

также 9 и след.

Leibnitz, on harmony, 33;

on international intercourse, 342, footnote.

Lessing, quotation from, 47.

Letters of the alphabet, their symmetry, 94, 97.

Level heights of work, 172-174.

Lever, a, in action, 222.

Leverrier, prediction of the planet Neptune, 29.

Leyden jar, 114.

Liberal education, a, 341 et seq., 359, 371.

Libraries, thoughts stored up in, 237.

Lichtenberg, on instruction, 276, 370.

Licius, a Chinese philosopher, 213.

Liebig, 163, 278.

Life and death, 186.

Light, history of as elucidating how theories obstruct research, 242;

Huygens's and Newton's views of, 227-228;

its different conceptions, 226;

rectilinear propagation of, 194;

rôle of, in vision, 81;

spatial and temporal periodicity of, explains optical phenomena, 194;

numerical velocity of, 58;

куда он уходит? 199;

generally, 48 et seq.

Like effects in like circumstances, 199.

Likeness, 388, 391.

Lilliput, 84.

Lines, straight, their symmetry, 98;

curved, their asymmetry, 98;

of force, 249.

Links of thought, intermediate, 198.

Liquefaction, latent heat of, 178.

Liquid, efflux, law of, 150;

equilibrium, figures of, 4 et seq.;

the latter produced in open air, 7-8;

their beauty and multiplicity of form, 7, 8;

made permanent by melted colophonium, 7.

Liquids, forms of, 1-16;

difference between, and solids, 2;

their mobility and adaptiveness of form, 3;

the courtiers par excellence of the natural bodies, 3;

possess under certain circumstances forms of their own, 3.

Living force, 137, 184;

law of the conservation of, 149.

Lloyd, observation of the conical refraction of light, 29.

Lobster, of Lake Mohrin, the, 61.

Localisation, cerebral, 210.

Locke, on language and thought, 358.

Locomotive, steam in the boiler of, 219.

Loeb, J., 289, 291, 302.

Logarithms, 195, 219;

in music, 103-104.

Logical root, of the principle of energy, 181;

of the principle of excluded perpetual motion, 182.

Lombroso, 280.

Lucian, 347.

Macula acustica, 272.

Magic lantern, 96.

Magic powers of nature, 189.

Magical power of science, belief in the, 189.

Magnet, a, 220;

will compared to the pressure of a, 14;

coercive force of a, 216.

Magnetic needle, near a current, 207.

Magnetised bar of steel, 242-243.

Major and minor keys in music, 100 et seq.

Malus, 242.

Man, a fragment of nature's life, 49;

his life embraces others, 234.

Mann, 364.

Manuscript in a mirror, 93.

Maple syrup, statues of, on Moon, 4.

Marx, 35.

Material, the relations of work with heat and the consumption of, 245 et seq.

Mathematical methods, their character, 197-198.

Mathematics, economy of, 195;

on instruction in, 338-374;

C. G. J. Jacobi on, 280.

Matter, constancy of, 203;

its nature, 203;

the notion of, 213.

Maupertuis, his Latin city, 338.

Maximal and minimal problems, their rôle in physics, 14, footnote.

Mayer, J. R., his conception of energy, 245, 246;

his methods of thought, 247;

on the conservation of energy, 163, 164, 165, 167, 183, 184;

his metaphysical utterances, 183, 246;

also 138, 184, 191, 217, 271, 274.

Measurement, definition of, 206.

Measures, international, 108.

Mécanique céleste, 90, 188;

sociale, and morale, the, 90.

Mechanical, conception of the world, 105, 155 et seq., 188, 207;

energy, W. Thomson on waste of, 175;

analogies between —— and thermal energy, 17 et seq.;

equivalent of heat, electricity, etc., 164, 167 et seq.;

mythology, 207;

phenomena, physical events as, 182;

philosophy, 188;

physics, 155-160, 212;

substitution-value of heat, 178, footnote.

Mechanics, Kirchhoff's definition of, 236.

Medicine, students of, 326.

Melody, 101.

Melsens, 310, 327.

Memory, a treasure-house for comparison, 230;

common elements impressed upon the, 180;

its importance, 238;

science disburdens the, 193.

Mendelejeff, his periodical series, 256.

Mental, adaptation, 214-235;

completion of phenomena, 220;

imagery, 253;

imitation, our schematic, 199;

processes, economical, 195;

reproduction, 198;

visualisation, 250.

Mephistopheles, 88.

Mercantile principle, a miserly, at the basis of science, 15.

Mersenne, 377.

Mesmerism, the mental state of ordinary minds, 228.

Metaphysical establishment of doctrine of energy, 183.

Metaphysical spooks, 222.

Metrical, concepts of electricity, 107 et seq.;

notions, energy and entropy are, 178;

units, the building-stones of the physicist, 253.

Metronomes, 41.

Meyer, Lothar, his periodical series, 256.

Middle Ages, 243, 349.

Midsummer Night's Dream, 309.

Mill, John Stuart, 230.

Millers, school for, 326.

Mill-wheel, doing work, 161.

Mimicking facts in thought, 189, 193.

Minor and major keys in music, 100 et seq.

Mirror, symmetrical reversion of objects in, 92 et seq.

Miserly mercantile principle at the basis of science, 15.

Moat, child looking into, 208.

Modern scientists, adherents of the mechanical philosophy, 188.

Molecular theories, 104.

Molecules, 203, 207.

Molière, 234.

Momentum, 184.

Monocular vision, 98.

Monotheism of the Christians and Jews, 187.

Montagues and Capulets, 87.

Moon, eclipse of, 219;

lightness of bodies on, 4;

the study of the, 90, 284.

Moreau, 307.

Mosaic of thought, 192.

Motion, a perpetual, 181;

quantity of, 184;

the Eleatics on, 158;

Wundt on, 158;

the Herbartians on, 158.

Motions, natural and violent, 226;

their familiar character, 157.

Mountains of the earth, would crumble if very large, 3;

weight of bodies on, 112.

Mozart, 44, 279.

Müller, Johann, 291.

Multiplication-table, 195.

Multiplier, 132.

Music, band of, its tempo accelerated and retarded, 53;

the principle of repetition in, 99 et seq.;

its notation, mathematically illustrated, 103-104.

Musical notes, reversion of, 101 et seq.;

their economy, 192.

Musical scale, a species of one-dimensional space, 105.

Mystery, in physics, 222;

science can dispense with, 189.

Mysticism, numerical, 33;

in the principle of energy, 184.

Mythology, the mechanical, of philosophy, 207.

Nagel, von, 364.

Nansen, 296.

Napoleon, picture representing the tomb of, 36.

Nations, intercourse and ideas of, 336-337.

Natural constants, 193.

Natural law, a, not contained in the conformity of the energies, 175.

Natural laws, abridged descriptions, 193;

likened to type, 193.

Natural motions, 225.

Natural selection in scientific theories, 63, 218.

Nature, experience the well-spring of all knowledge of, 181;

fashions of, 64;

first knowledge of, instinctive, 189;

general interconnexion of, 182;

has many sides, 217;

her forces compared to purposes, 14-15;

likened to a good man of business, 15;

the economy of her actions, 15;

how she appears to other animals, 83 et seq.;

inquiry of, viewed as a torture, 48-49;

view of, as something designedly concealed from man, 49;

like a covetous tailor, 9-10;

magic powers of, 189;

our view of, modified by binocular vision, 82;

the experimental method a questioning of, 48.

Negro hamlet, the science of a, 237.

Neptune, prediction and discovery of the planet, 29.

New views, 296 et seq.

Newton, describes polarisation, 242;

expresses his wealth of thought in Latin, 341;

his discovery of gravitation, 225 et seq.;

his solution of dispersion, 362;

his principle of the equality of pressure and counterpressure, 191;

his view of light, 227-228;

on absolute time, 204;

selections from his works for use in instruction, 368;

also 270, 274, 279, 285, 289.

Nobility, they displace Latin, 342.

Notation, musical, mathematically illustrated, 103-104.

Numbers, economy of, 195;

their connexion with consonance, 32.

Numerical mysticism, 33.

Nursery, the questions of the, 199.

Observation, 310.

Observation, in science, 261.

Ocean-stream, 272.

Oettingen, Von, 103.

Ohm, on electric currents, 249.

Ohm, the word, 343.

Oil, alcohol, water, and, employed in Plateau's experiments, 4;

free mass of, assumes the shape of a sphere, 12;

geometrical figures of, 5 et seq.

One-eyed people, vision of, 98.

Ophthalmoscope, 18.

Optic nerves, 96.

Optimism and pessimism, 234.

Order of physics, 197.

Organ, bellows of an, 135.

Organic nature, results of Darwin's studies of, 215 et seq.

См. Адаптация и Наследственность.

Oriental world of fables, 273.

Orientation, sensations of, 282 et seq.

Oscillation, centre of, 147 et seq.

Ostwald, 172.

Otoliths, 301 et seq.

Overtones, 28, 40, 349.

Ozone, Schöbein's discovery of, 271.

Painted things, the difference between real and, 68.

Palestrina, 44.

Parameter, 257.

Partial tones, 390.

Particles, smallest, 104.

Pascheles, Dr. W., 285.

Paulsen, 338, 340, 373.

Pearls of life, strung on the individual as on a thread, 234-235.

Pencil surpasses the mathematician in intelligence, 196.

Pendulum, motion of a, 144 et seq.,

increased motion of, due to slight impulses, 21;

electrical, 110.

Percepts, of like form, 390.

Periodical, changes, 181;

series, 256.

Permanent, changes, 181, 199;

elements of the world, 194.

Perpetual motion, a, 181;

defined, 139;

impossibility of, 139 et seq.;

the principle of the, excluded, 140 et seq.;

excluded from general physics, 162.

Personality, its nature, 234-235.

Perspective, 76 et seq.;

contraction of, 74 et seq.;

distortion of, 77.

Pessimism and optimism, 234.

Pharaohs, 85.

Phenomenology, a universal physical, 250.

Philistine, modes of thought of, 223.

Philology, comparison in, 239.

Philosopher, an ancient, on the moral and physical sciences, 89.

Philosophy, its character at all times, 186;

mechanical, 155 et seq., 188, 207, 259 et seq.

Phonetic alphabets, their economy, 192.

Photography, by the electric spark, 318 et seq.

Photography of projectiles, 309-337.

Photography, stupendous advances of, 74.

Physical, concepts, fetishism in our, 187;

ideas and principles, their nature, 204;

inquiry, the economical nature of, 186;

research, object of 207, 209.

Physical phenomena, as mechanical phenomena, 182;

relations between, 205.

Physico-mechanical view of the world, 155, 187, 188, 207 et seq.

Physics, compared to a well-kept household, 197;

economical experience, 197;

the principles of, descriptive, 199;

the methods of, 209;

its method characterised, 211;

comparison in, 239;

the facts of, qualitatively homogeneous, 255;

how it began, 37;

helped by psychology, 104;

study of its own character, 189;

the goal of, 207, 209.

Physiological psychology, its methods, 211 et seq.

Physiology, its scope, 212.

Piano, its mirrored counterpart, 100 et seq.;

used to illustrate the facts of sympathetic vibration, 25 et seq.

Piano-player, a speaker compared to, 192.

Picture, physical, a, 110.

Pike, learns by experience, 267.

Pillars of Corti, 19.

Places, heavy bodies seek their, 224 et seq.

Planetary system, origin of, illustrated, 5.

Plasticity of organic nature, 216.

Plateau, his law of free liquid equilibrium, 9;

his method of getting rid of the effects of gravity, 4.

Plates of oil, thin, 6.

Plato, 347, 371.

Plautus, 347.

Playfair, 138.

Pleasant effects, cause of, 94 et seq.

Pliny, 349.

Poetry and science, 30, 31, 351.

Poinsot, on the foundations of mechanics, 152 et seq.

Polarisation, 91;

abstractly described by Newton, 242.

Politics, Chinese speak with unwillingness of, 374.

Pollak, 299.

Polyp plant, humanity likened to a, 235.

Pompeii, 234;

art in, 80.

Popper J., 172, 216.

Potential, social, 15;

electrical, 121 et seq.;

measurement of, 126;

fall of, 177;

swarm of notions in the idea of, 197;

its wide scope, 250.

Pottery, invention of, 263.

Prediction, 221 et seq.

Prejudice, the function, power, and dangers of, 232-233.

Preparatory schools, the defects of the German, 346-347;

what they should teach, 364 et seq.

Pressure of a stone or of a magnet, will compared to, 14;

также 157.

Primitive acts of knowledge the foundation of scientific thought, 190.

Problem, nature of a, 223.

Problems which are wrongly formulated, 308.

Process, Carnot's, 161 et seq.

Projectiles, the effects of the impact of, 310, 327-328;

seen with the naked eye, 311, 317;

measuring the velocity of, 332;

photography of, 309-337.

Prony's brake, 132.

Proof, nature of, 284.

Prophesying events, 220 et seq.

Psalms, quotation from the, 89.

Pseudoscope, Wheatstone's, 96.

Psychology, preceded by astronomy, 90;

how reached, 91 et seq.;

helps physical science, 104;

its method the same as that of physics, 207 et seq.

Pully arrangement, illustrating principle of least superficial area, 12-13.

Purkinje, 284, 285, 291, 299.

Purposes, the acts of nature compared to, 14-15;

nature pursues no, 66.

Puzzle-lock, a, 26.

Puzzles, 277.

Pyramid of oil, 6.

Pythagoras, his discovery of the laws of harmony, 32, 259.

Quality of tones, 36.

Quantitative investigation, the goal of, 180.

Quantity of electricity, 111, 118, 119, 167-170, 173;

of heat, 166, 167-171, 174, 177, 244;

of motion, 184.

Quests made of the inquirer, not by him, 30.

Quételet, 15, footnote.

Rabelais, 283.

Raindrop, form of, 3.

Rameau, 34.

Reaction and action, principle of, 191.

Reactions, disclosure of the connexion of, 270 et seq.

Realgymnasien, 365.

Realschulen, 365, 373.

Reason, stands above the senses, 105.

Reflex action, 210.

Reflexion, produces symmetrical reversion of objects, 93 et seq.

Refraction, 29, 193, 194, 208, 230, 231.

Reger, 328.

Reliefs, photographs of, 68.

Repetition, its rôle in æsthetics, 89, footnote, 91 et seq., 97, 98 et seq., 390.

Reproduction of facts in thought, 189, 193, 198, 253.

Repulsion, electric, 109 et seq., 168.

Исследование, функция экспериментального 181;

the aim of, 205.

Resemblances between facts, 255.

Resin, solution of, 7.

Resistance, laws of, for bodies travelling in air and fluids, 333 et seq.

Resonance, corporeal, 392.

Response of sonorous bodies, 25.

Сетчатка, соответствующие пятна 98;

nerves of compared to fingers of a hand, 96 et seq.

Reversible processes, 161 et seq., 175, 176, 181, 182.

Rhine, the, 94.

Richard the Third, 77.

Riddles, 277.

Riders, 379.

Riegler, 319.

Riess, experiment with the thermo-electrometer, 133 et seq., 169.

Rigid connexions, 142.

Rind of a fruit, 190.

Rings of oil, illustrating formation of rings of Saturn, 5.

Ritter, 291, 299.

Rods of Corti, 19.

Rolph, W. H., 216.

Roman Church, Latin introduced with the, 340 et seq.

Romans, their provinciality and narrow-mindedness, 270.

Romeo and Juliet, 87.

Römer, Olaf, 51 et seq.

Roots, the nature of, in language, 252.

Rosetti, his experiment on the work required to develop electricity, 131.

Rotating bodies, 285.

Rotation, apparatus of, in physics, 59 et seq.;

sensations of, 288 et seq.

Rousseau, 336.

Rubber pyramid, illustrating the principle of least superficial area, 10-11.

Ruysdael, 279.

Sachs, Hans, 106.

Зальхер, проф. 319.

Salviati, 144.

Saturn, rings of, their formation illustrated, 5.

Saurians, 257.

Sauveur, on acoustics, 34, 375 et seq.

Savage, modes of conception and interpretation of a, 218 et seq.

Schäfer, K., 298.

Schlierenmethode, 317.

Schönbein's discovery of ozone, 271.

School-boy, copy-book of, 92.

Schoolmen, 214.

Schools, State-control of, 372 et seq.

Schopenhauer, 190.

Schultze, Max, 19.

Science, a miserly mercantile principle at its basis, 15;

compared to a business, 16;

viewed as a maximum or minimum problem, 16, footnote;

its process not greatly different from the intellectual activity of ordinary life, 16, footnote;

economy of its task, 16;

relation of, to poetry, 30, 31, 351;

the church of, 67;

beginnings of, 189, 191;

belief in the magical power of, 189;

can dispense with mystery, 189;

lavish extravagance of, 189;

economy of the terminology of, 192;

partly made up of the intelligence of others, 196;

stripped of mystery, 197;

its true power, 197;

the economical schematism of, 206;

the object of, 206;

the tools of, 207;

does not create facts, 211;

of the future, 213;

revolution in, dating from Galileo, 214 et seq.;

the natural foe of the marvellous, 224;

characterised, 227;

growth of, 237;

dramatic element in, 243;

described, 251;

its function, 253;

classification in, 255, 259 et seq.;

the way of discovery in, 316.

См. также Физика.

Sciences, partition of the, 86;

барьеры и отношения между 257-258;

on instruction in the, 338-374.

Scientific, criticism, Socrates the father of, 1, 16;

discoveries, their fate, 138;

knowledge, involves description, 193;

thought, transformation and adaptation in, 214-235;

thought, advanced by new experiences, 223 et seq.;

thought, the difficulty of, 366;

terms, 342-343;

founded on primitive acts of knowledge, 190.

Scientists, stories about their ignorance, 342.

Screw, the, 62.

Sea-sickness, 284.

Secret computation, Leibnitz's, 33.

Seek their places, bodies, 226.

Self-induction, coefficient of, 250, 252.

Self-observation, 211.

Self-preservation, our first knowledge derived from the economy of, 197;

struggle for, among ideas, 228.

Semi-circular canals, 290 et seq.

Sensation of rounding a railway curve, 286.

Sensations, analysed, 251;

when similar, produce agreeable effects, 96;

their character, 200;

defined, 209;

of orientation, 282 et seq.

Sense-elements, 179.

Senses, theory of, 104;

the source of our knowledge of facts, 237.

Seventh, the troublesome, 46.

Shadow method, 313 et seq., 317 footnote.

Shadows, rôle of, in vision, 81.

Shakespeare, 278.

Sharps, reversed into flats, 101.

Shell, spherical, law of attraction for a, 124, footnote.

Shoemaker, inquirer compared to, 105-106.

Shooting, 309.

Shots, double report of, 229 et seq.

Similarity, 249.

Simony, 280.

Simplicity, a varying element in description, 254.

Sines, law of the, 193.

Sinking of heavy bodies, 222.

Sixth sense, 297.

Smith, R., on acoustics, 34, 381, 383.

Soap-films, Van der Mensbrugghe's experiment with, 11-12.

Soapsuds, films and figures of, 7.

Social potential, 15.

Socrates, the father of scientific criticism, 1, 16.

Sodium, 202.

Sodium-light, vibrations of, as a measure of time, 205.

Solidity, conception of, by the eye, 71 et seq.;

spatial, photographs of, 73.

Solids, and liquids, their difference merely one of degree, 2.

Sonorous bodies, 24 et seq.

Soret, J. P., 89.

Sounds, symmetry of, 99 et seq.;

generally, 22-47, 212.

Sound-waves rendered visible, 315 et seq.

Sources of the principle of energy, 179 et seq.

Space, 205;

sensation of, 210.

Spark, electric, 117, 127, 132, 133, 190.

Spatial vision, 386.

Species, stability of, a theory, 216.

Specific energies, 291.

Specific heat, 166, 244.

Specific inductive capacity, 117.

Spectral analysis of sound, 27.

Spectrum, mental associations of the, 190.

Speech, the instinct of, cultivated by languages, 354.

Spencer, 218, 222.

Sphere, a soft rotating, 2;

the figure of least surface, 12;

electrical capacity of, 123 et seq.

Сферическая оболочка, закон притяжения для 124, сноска.

Spiders, the eyes of, 67.

Spirits, as explanation of the world 186, 243.

Spiritualism, modern, 187.

Spooks, metaphysical, 222.

Squinting, 72.

Stability of our environment, 206.

Stallo, 336.

Stars, the fixed, 90.

State, benefits and evils of its control of the schools, 372 et seq.;

the Church and, 88.

Statical electricity, 134.

Stationary currents, 249.

Statoliths, 303.

Steam-engine, 160, 265.

Steeple-jacks, 75.

Stereoscope, Wheatstone and Brewster's, 73.

Stevinus, on the inclined plane, 140;

on hydrostatics, 141;

on the equilibrium of systems, 142;

discovers the principle of virtual velocities, 150;

characterisation of his thought, 142;

also 182, 187, 191.

Stone Age, 46, 321.

Störensen, 306.

Stove, primitive, 263.

Straight line, a, its symmetry, 98.

Straight, meaning of the word, 240.

Street, vista into a, 75.

Striae, in glass, 313.

Striate method, for detecting optical imperfections, 317.

Striking distance, 115, 127.

Strings, vibrations of, 249.

Struggle for existence among ideas, 217.

Substance, heat conceived as a, 177, 243 et seq.;

electricity as a, 170;

the source of our notion of, 199;

rôle of the notion of, 203, 244 et seq.;

energy conceived as a, 164, 185, 244 et seq.

Substitution-value of heat, 178, footnote.

Suetonius, 348.

Sulphur, specific inductive capacity of, 117.

Sun, human beings could not exist on, 3.

Swift, 84, 280.

Swimmer, Ampère's, 207.

Symmetry, definition of, 92;

figures of, 92 et seq.;

plane of, 94;

vertical and horizontal, 94;

in music, 99 et seq.

Sympathetic vibration, 22 et seq., 379.

Tailor, nature like a covetous, 9-10.

Tangent, the word, 263.

Taste, doubtful cultivation of, by the classics, 352-353;

of the ancients, 353.

Taylor, on the vibration of strings, 249.

Teaching, its nature, 366 et seq.

Telegraph, the word, 263.

Telescope, 262.

Telestereoscope, the, 84.

Temperament, even, in tuning, 47.

Temperature, absolute, 162;

differences of, 205;

differences of, viewed as level surfaces, 161;

heights of, 174;

scale of, derived from tensions of gases, 174.

Terence, 347.

Terms, scientific, 342-343.

Thales, 259.

Theories, their scope, function, and power, 241-242;

must be replaced by direct description, 248.

Thermal, energy, 174, 177;

capacity, 123, footnote.

Thermodynamics, 160 et seq.

Thermoelectrometer, Riess's, 133, 169.

Thing-in-itself, the, 200.

Things, mental symbols for groups of sensations, 200-201.

Thomson, James, on the lowering of the freezing-point of water by pressure, 162.

Thomson, W., his absolute electrometer, 127, footnote;

on thermodynamics, 162;

on the conservation of energy, 165;

on the mechanical measures of temperature, 174, footnote;

on waste of mechanical energy, 175;

also 108, 173, footnote.

Thought, habitudes of, 199, 224, 227, 232;

relationship between language and, 329;

incongruence between experience and, 206;

luxuriance of a fully developed, 58;

transformation in scientific, 214-235.

Thoughts, their development and the struggle for existence among them, 63;

importance of erroneous, 65;

as reproductions of facts, 107.

Thread, the individual a, on which pearls are strung, 234-235.

Tides, 283.

Timbre, 37, 38, 39.

Time, 178, 204, 205, footnote.

Toepler and Foucault, method of, for detecting optical faults, 313 et seq., 320.

Tone-figures, 91.

Tones, 22-47, 99 et seq., 212.

Torsion, moment of, 132.

Torsion-balance, Coulomb's, 109, 168.

Torricelli, on virtual velocities, 150;

his law of liquid efflux, 150;

on the atmosphere, 273.

Tourist, journey of, work of the inquirer compared to, 17, 29, 30.

Transatlantic cable, 108.

Transformation and adaptation in scientific thought, 214-235.

Transformation of ideas, 63.

Transformative law of the energies, 172.

Translation, difficulties of, 354.

Tree, conceptual life compared to a, 231.

Triangle, mutual dependence of the sides and angles of a, 179.

Triple accord, 46.

Truth, wooed by the inquirer, 45;

difficulty of its acquisition, 46.

Tumblers, resounding, 23.

Tuning-forks, explanation of their motion, 22 et seq.

Tylor, 186.

Tympanum, 18.

Type, natural laws likened to, 193;

words compared to, 191.

Ulysses, 347.

Understanding, what it means, 211.

Uniforms, do not fit heads, 369.

Unique determination, 181-182.

Unison, 43.

Unit, electrostatic, 111.

См. Сила и Работа.

United States, 336.

Universal Real Character, a, 192.

Utility of physical science, 351.

Variation, the method of, in science, 230;

in biology, 216.

Velocity, of light, 48 et seq.;

of the descent of bodies, 143 et seq.;

meaning of, 204;

virtual, 149-155.

Verstandesbegriffe, 199.

Vertical, perception of the, 272, 286 et seq.;

symmetry, 389.

Vertigo, 285, 290.

Vestibule of the ear, 300.

Vibration, 22 et seq.

Vibration-figures, 91.

Vinci, Leonardo da, 278, 283.

Violent motions, 225.

Virtual velocities, 149-155.

Visibility, general conditions of, 312.

Vision, symmetry of our apparatus of, 96.

См. Глаз.

Visual nerves, 96.

Visualisation, mental, 250.

Volt, the word, 343.

Volta, 127, footnote, 134.

Voltaire, 260.

Voltaire's ingènu, 219.

Vowels, composed of simple musical notes, 26.

Wagner, Richard, 279.

Wald, F., 178, footnote.

Wallace, 216.

War, and peace, reflexions upon, 309, 335 et seq.

Waste of mechanical energy, W. Thomson on, 175.

Watches, experiment with, 41;

in a mirror, 93.

Water, jet of, resolved into drops, 60;

free, solid figures of, 8;

objects reflected in, 94, 191;

possible modes of measurement of, 170.

Watt, 266.

Wealth, the foundation of, 198.

Weapons, modern, 335.

Weber, 108, 306.

Weight of bodies, varies with their distance from the centre of the earth, 112.

Weismann, 216.

Wheatstone, his stereoscope, 73;

his pseudoscope, 96;

также 59.

Wheel, history and importance of, 61 et seq.

Whewell, on the formation of science, 231.

Whole, the, 204, footnote.

Why, the question, 199, 223.

Will, Schopenhauer on the, 190;

man's most familiar source of power, 243;

used to explain the world, 186;

forces compared to, 254;

compared to pressure, 14.

Windmill, a rotating, 53.

Wire frames and nets, for constructing liquid figures of equilibrium, 4 et seq.

Witchcraft, 187.

Wollaston, 284, 285.

Wonderful, science the natural foe of the, 224.

Woods, the relative distance of trees in, 68.

Wooer, inquirer compared to a, 45.

Words and sounds, 343.

Words, compared to type, 191.

Work, of liquid forces of attraction, 14;

in electricity, 173;

measure of, 119 et seq., 130, 223;

relation of, with heat, 162, 245 et seq.;

amount required to develop electricity, 131 et seq.;

produces various physical changes, 139;

substantial conception of, 183-184.

См. Энергия.

World, the, what it consists of, 208.

World-particles, 203.

Wronsky, 172.

Wundt, on causality and the axioms of physics, 157-159; 359 footnote.

Xenophon, 49, footnote.

Young, Thomas, on energy, 173.

Zelter, 35.

Zeuner, 171.

Zoölogy, comparison in, 239.

МЕХАНИКА.

КРИТИЧЕСКИЙ И ИСТОРИЧЕСКИЙ ОБЗОР ЕЕ ПРИНЦИПОВ.

Д-ра ЭРНСТА МАХА.

ПРОФЕССОРА ИСТОРИИ И ТЕОРИИ ИНДУКТИВНОЙ НАУКИ В ВЕНСКОМ УНИВЕРСИТЕТЕ.

Перевод со второго немецкого издания ТОМАСА Дж. МАККОРМАКА.

250 рисунков. 534 страницы. Полукожаный переплет, золотой обрез, маргинальные анализы. Исчерпывающий указатель. Цена $2.50.

ОГЛАВЛЕНИЕ.

Статика.

Рычаг.

Наклонная плоскость.

Сложение сил.

Виртуальные скорости.

Статика в приложении к жидкостям.

Статика в приложении к газам.

Динамика.

Достижения Галилея.

Достижения Гюйгенса.

Достижения Ньютона.

Принцип реакции.

Критика принципа реакции и понятия массы.

Взгляды Ньютона на время, пространство и движение.

Критика ньютоновских формулировок.

Ретроспектива развития динамики.

Расширение принципов механики.

Область применения принципов Ньютона.

Формулы и единицы механики.

Закон сохранения количества движения, закон сохранения центра тяжести и закон сохранения площадей.

Законы удара.

Принцип Д'Аламбера.

Принцип живых сил.

Принцип наименьшего принуждения.

Принцип наименьшего действия.

Принцип Гамильтона.

Гидростатические и гидродинамические вопросы.

Формальное развитие механики.

Изопериметрические задачи.

Теологические, анимистические и мистические точки зрения в механике.

Аналитическая механика.

Экономия науки.

Отношение механики к другим областям знания.

Отношения механики к физике.

Отношения механики к физиологии.

ОТЗЫВЫ ПРЕССЫ.

«Появление перевода этой замечательной книги на английский язык должно послужить оживлению в этой стране [Англии] несколько застойного подхода к предмету и должно вызвать мысли, которые озадачивают нас, когда мы думаем о них, а это случается недостаточно часто... Профессор Мах — яркий пример сочетания глубоких математических знаний с экспериментальным мастерством, что подтверждается не только изящными иллюстрациями механических принципов, которыми изобилует этот трактат, но и его блестящими экспериментами по фотографированию пуль... Тщательное изучение работы профессора Маха и подход с большим количеством экспериментальных иллюстраций, в духе интересных диаграмм его "Механики", сделают многое для оживления теоретической механической науки, развитой из элементов путем строгого логического подхода». — Проф. А. Г. Гринхилл, в Nature, Лондон.

«Те, кому любопытно узнать, как развивались принципы механики, из какого источника они берут свое начало и насколько они могут считаться имеющими положительную и постоянную ценность, найдут способный трактат д-ра Маха захватывающе интересным... Книга замечательна во многих отношениях, в то время как смесь истории с новейшими научными принципами и абсолютными математическими выводами делает ее чрезвычайно привлекательной». — Mechanical World, Манчестер и Лондон, Англия.

«"Механика" Маха уникальна. Это не учебник, а полезное дополнение к обычному учебнику. Последний обычно представляет собой скелетную схему, полную математических символов и других абстракций. Книга Маха имеет "мышцы и одежду", и, будучи написанной с исторической точки зрения, представляет ведущих авторов в последовательности, рассказывает, что они сделали и как они это сделали, а часто и то, какими людьми они были. Таким образом, страницы светятся, так сказать, определенным гуманизмом, весьма восхитительным в научной книге... Книга прекрасно напечатана и заслуживает теплого приема от всех, кто интересуется прогрессом науки». — The Physical Review, Нью-Йорк и Лондон.

«Г-н Т. Дж. Маккормак своим эффективным переводом, где перевод был нелегкой задачей, этого мастерского трактата по самой ранней и самой фундаментальной из наук, оказал немалую услугу англоговорящему студенту. Немецкий и английский языки обычно считаются не имеющими себе равных по своей ценности в качестве инструментов для выражения научной мысли; но перевод целиком сложной работы с одного на другой так, чтобы сохранить весь смысл и дух оригинала и легко и естественно вписать его в новую форму, является задачей величайшей трудности, и когда она выполнена так хорошо, как в данном случае, заслуживает большой похвалы. Д-р Мах создал для своих собственных работ строжайший стандарт суждения. Ожидать от книг такого мастера не большего, чем от элементарных произведений обычного учителя науки, было бы чрезмерной умеренностью. Наш автор поднял то, что для многих из нас было когда-то курсом кажущейся невыгодной умственной гимнастики, охватываемой только при огромных затратах интеллектуальных усилий, до изучения, обладающего глубокой философской ценностью и инстинктом жизни и интереса. "Нет прибыли там, где нет удовольствия", и эмансипированный студент с удовольствием отвернется от узких методов учебника к тому, где наука призвана иллюстрировать, путем подхода одновременно широкого и глубокого, фундаментальную связь между всеми физическими науками, взятыми вместе». — The Mining Journal, Лондон, Англия.

Обложка выбранной аудиокниги Выберите главу Плеер готов к воспроизведению
0:00 0:00

Громкость