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Index Absolute centigrade temperature scale. see Kelvin absolute temperature Absolute temperature, 385, 387, 458 and kinetic energy, 458, 466 Absolute truth, 98 Absolute zero, 387, 425 and specific heat, 476 Abstractions and experience, 307 (ftn ) Academy of Sciences , French, 369, 174 Acceleration. due to the earth's rotation and , force , free fall in one dimension , vector 162 - , of , Action , , 165 , , 252 John , - 264 , 265 , - 253 , of of 205 , 221 . , Agricola Air 106 : Alexandria Library entropy , , . 205 , , 322 ' s theory 65 , 66 , 225 , 299 , spheres , 74 , of motion , 159 - , origin of , 8- 9 Balance , equal , 73 Barometer . 321 of science , convection resistance , simple motion, 350 Anaximander, 69 Bernoulli Atoms 18 harmonic , - 204 , 240 - 322 Cardinal Daniel , 441 formula , , 156 452 ( ftn ) , , 458 , Friedrich W Binding energy , 447 systems Black , Joseph Boiler . , 121 - 448 , 433 , 356 pressure - 434 - 357 , 380 , 404 , 408 , Boyle 's and theory , early of , weights , Boys scale , of , 148 , 313 , 323 ) , , 99 , 323 , 381 , 423 , . 445 theorem of , Tycho , 469 , 459 , see . Giovanni Tycho Brahe . 400 , P . W . , 290 Brightness of intrinsic stars , apparent , 132 - 133 , 123 - 124 , 129 British thermal unit , 364 Brown , Robert , 467 Brownian Bruno ( ftn , C . V . , 275 Branca 124 first Greek concePtion of . 439 Authority vs . observation , 151 152 law Bridgman chemical scale , 464 , evolution , 299 equipartition Brahe assumptions , 262 , 406 explanation history ) , 443 443 into , 370 ( ftn ) Alfonso , Robert 441 ( ftn , 149 , Matthew Boyle , , 469 , Giovanni of , 161 407 . 448 , Hermann Borelli , , 450 . chemical Boulton heat , 472 , 475 402 - 427 , Ludwig Bondi currents , , 426 temperature of , 321 - 322 , 324 - 325 physical 73 astronomical 294 , 217 Bessel 463 - 464 , , - 468 463 5 , , 202 , Robert , Bond , 107 , 113 , 119 . 25 . 83 . 104 . 106 . 159 Atomic 79 , , 204 , Isaac Boiling in , 441 - 443 87 , , - arm , 202 Boltzmann kinetic -molecular 73 , 467 453 Francis 411 438 - 440 73 , 458 , 26 Atomic , law Sir Bernoulli in , 368 , 372 , 397 density of . 322 - 323 Atomic 296 , 453 , 465 441 re -entry 400 - 323 , - 249 441 Biological ' s concentric pressure 146 439 , of 159 , - 465 , 231 - 469 Bellarmine , 10 , physics , 159 - 161 , 356 frictional 264 school , of , 179 Samos , 3 , 32 , 67 , 72 - 75 , 88 - 89 , Asteroids Astrology 73 of 26 Amplitude , , Great Alexandrian Altitude , , of Museum unit us of , , 364 spring of planets , 279 the , of Syracuse , 4 , 73 , 166 , 204 , 207 ( ftn ) , , scale starch of , 18 Barrow Atmosphere , of , Archimedes 159 , Arstillus cycle constant Georgius Alexander Bacon Arithmetic of 263 density Alchemy Btu Aristotle - 417 universe , , 468 stars , 160 Carnot lumeniferous the the 's 89 280 on of space Age number Aquinas , see St. Thomas Aquinas Aristotle 41 . 1 - 41 . 2 , Avogadro Avogadro of of , 247 , Amedeo Azimuth 106 , 481 change , diagram Aether motions of Avogadro Approximations in scientific theory , 280 - 281 282 417 lines lines star , 304 , 438 263 reversible state a 1 () - 1 ~ 353 , Couch Adiabatic as Apparent Aristotle , , reaction , of 123 - 124 . 132 - 133 Aristotelean 239 distance Adiabatic brightness Area , - 283 latitude of and 222 . 73 . 84 372 165 282 on value a , , of at Apparent 177 motion true measurement Adams - gravity of standard skidding Perga efficiency of , 249 73 , 75 , 79 - 82 , 89 , 118 and dependence , 108 of , , braking overturn Apollonius - 233 apparent Automobiles , 14 Aphelion Ari Acceleration Action 176 circular 232 , 25 , 86 Antimeridian Archimedes ' principle , 204, 312, 163 - 245 , Animism engine 1R1 galaxy , 136 , 141 312 uniform 244 Automobile , 69 , 438 Andromeda 221 in in 282 Anaximenes motion , Giordano , 132 , 466 - 468 , 103 , 299 , 123 - 134 - 492 INDEX Buridan , Jean Butter field Colloidal particles, 466 Color-components. 125 , 160 , Herbert , 160 , 287 Columbus CGS system Calculus , 241 , - 243 differential 176 , 482 integral , 25 - 26 Calibration , 203 theory , Lazare Carnot , . 420 Carnot ( ftn thermodynamic efficiency as engine , 413 - , 421 , 425 , of , Coordinates longitude sphere , 44 , 91 193 , 359 final - 423 204 , 257 stars , T . W of 210 - 259 adiabatic - 211 , 95 frame , 416 , Jacques Charles , 278 - 156 382 . Chemical compounds Chemical energy Chemical equilibrium Little , 430 reactions systems V . () ) law II , 442 , early Circle of Circles - 376 Crystal , 433 Crystalline , 356 , 376 Classical , 439 , \ Jsius 25 ( ftn ) , 61 , , Rudolf , 441 , - 96 , - 113 , , 89 of , , 75 92 154 , , 82 90 , - 281 90 102 - Ca 103 Duke , ? - 156 of Tuscany , " Big Bang ," 147 , 149 , 434 , 74 Earth , age of , 66 , 147 axis of , 13 Universe ( ftn , 449 448 16 , electric , composition of the core of , 276 equatorial bulge of , 285 as a frame of reference . 75 - 2 ~ 1 ) , 443 , 112 155 , Current 90 Orbium 207 , , , , spheres , 449 37 , , 41 376 convection , 368 , 372 , 197 , 87 Curvature Cycle of , of , see space the , 147 Carnot engine , 417 - Newtonian of the Watt engine , 407 , 409 - 410 , 420 , 452 , 421 ( ftn , 428 , Cycles , in the ) , growth of science 295 . 50 - 54 sidereal , 43 Clouds , formation Cohen , I . Bernard of , 372 Cohesion , forces Collisions , 254 elastic and ( ftn of , 281 inelastic , 454 - wall , 456 , Dalton 's , 314 , 446 Dampier Dante , 256 , 257 - 455 , 458 -:;457 Robert Divi Dark of , Jle Greece 441 - 443 partial pressures , - 454 William Cecil Alighieri Ages in , law 453 ) - 259 intermolecular molecule , 273 Dalton , Co , 75 Jlledy in , Europe 65 , , , 299 89 , 86 73 ( ftn ) geographic coordinates of , 33 40 , 285 mass of , 275 , 480 and moon as a system , 278 - 279 orbital motion of , 82 , 95 , 109 110 . 279 perturbation in orbit moon . 279 419 , 16 , 21 , 37 - 38 , 41 , 430 Clocks , 102 103 lattices mechanics Cla - , Crystals , 350 mechanics 397 372 470 82 103 Grand Culmination Christian reference , diurnal - - state , 40 , 51 Church , , - 95 , , also Couple , 430 , 372 154 theory Currents Chronometer 102 146 of , see , 439 , - 91 Cosmological , , - Nicolaus , - Lussac Gordon , - 369 167 Revolutionibus Cosmo , 375 Chemical , - 40 Commentary De , 448 Chemical , ) , steady bond Childe 90 - 383 Chemical 44 , 33 153 101 , , 417 Gay 367 reference , simplified , , 382 and , 368 , , , lestium adiabatic 253 - 96 of . 417 reversible , 273 102 of - 132 ( ftn , 379 isothermal Charles , 131 . , 452 state , of . merits , - 25 , , - 151 , , 259 Chalmers , 47 13 acceptance scale , 24 theory 101 , 421 , dimension , Copernicus Change 327 - 44 Copernican , 359 variable , - 376 molecules one polar temperature Cepheid 149 13 41 , , 13 mass , 374 11 diatomic in , 11 - 15 of , 37 , 41 - 50 of 11Q superior 375 heat , , Celestial Center - 406 - 369 momentum of Celestial 249 405 397 geographic gravity , and currents Convection , 44 , 388 , 235 Convection 118 latitude of - 405 92 , , , Celestial 385 290 49 circumpolar of Center , , , 274 , Anders 404 367 energy of , , 15 - 16 Celsius , of equator Celsius 445 , 353 law celestial of , inferior Constellations - 275 axis 442 , 100 397 of 77 formalism Celestial polar , , of , Constraints Dominique mapping , thermal , autumnal experiment 274 , Conservation , 454 gravitational xiv invention Conservation temperature , Henry , 417 259 of , 419 , Jean , 343 " heat , 445 . 365 , , 421 ideal ) . 294 , - 419 439 , B , - 428 scales Cavendish - 417 , adiabatic ) , general and ( ftn 274 J . ames Conjunctions 411 in , 432 of , 427 Cassini ) , 413 , - 428 , 418 32 4 .' ; 0 extinguisher - 418 proof 's , ( ftn , 419 418 , Condenser 409 , 427 theorem Carnot fire . chemical Condensation , , 417 gas 108 Conductivity 374 - 421 . , , 444 - 373 changes a , 441 as , 107 of Compounds - 364 , , cycle , Conant , 412 Sadi entropy for Comets , 227 Carnot Carnot - - 490 , 369 , 372 , 226 175 , 359 dioxide solid , Compression . 361 Carbon , 484 , 361 Calorimetry 166 orbits , 424 Calendars Caloric , Christopher 34 - 483 , 166 , , 329 Davy, Sir Humphry, 374, 441 Day, appart:nt solar, 54 mean solar, 53 sidereal, ~3, 54 Declination, 35, 41, 48 of the zenith, 50 Deferent, 84.-85 Deformation, elastic, 256- 257, 313, 315 inelastic, 256-257, 313, 370 Degree of freedom, 471, 474, 475, 478 Democritus, 70, 300, 438, 439 Density, of air, 322- 323 of the earth, 275 of the earth's core, 276 of the moon, 279 of the sun, 277 Derivative, 175- 176, 482-484 of position vector, 200 de Santillana, Giorgio, 156 Descartes, Rene, 262, 296, 297, 299, 310, 439 Determinism, 300 Dew, formation of, 397 Diamond, specific heat of, 476 Diatomic molecules, coordinates of, 470 Dick, Robert, 403 Dickinson, H. W., 402 (ftn ) Differentiation, seeDerivative Diffusion, 450 and molecular speeds, 461 Disorder and entropy, 435 Displacement, 166, 190, 198- 201 as an area, 179- 180 Diurnal motion, of the stars, 16, 19 of the sun, 19, 21 Domain of a function, 169 Doppler effect, 129- 131, 142 Dreyer, J. L. E., 28, 29 (ftn ) , 32, 74 (ftn ) , 79 (ftn ) , 80 (ftn ) , 81, 94 (ftn ) Dry ice, see Carbon dioxide, solid Dualism, 304 Dulong, P. L., 475 Dulong and Petit, specific-heat rule of, 475, 476 Dynamics, 159, 201, 220 Dyne, 242, 481 of , due to as a planet , 95 radius of , 32 , 480 rotation of , 52 , 74 , 76 , 81 , 282 283 satellitesof, 339, 354- 355 shapeof, 29- 31, 281-285 stationary conception of, 8283 Eccentric circle, 84- 85, 95, 102 Eccentricity of an ellipse, 107 Eclipse seasons , 57 Eclipses, 19, 31, 57 Eclipsing variable stars, 131 493 INDEX Ecliptic , axis 19 of - , location , , 27 on obliquity , 21 21 of Ecole , , , map 21 , , Efficiency , of a 421 , of 412 Carnot 425 of machines a power plant of a steam - engine , , engine , , , - 9 , , 219 , 264 271 , Hooke of , 147 . , 438 present - . 447 conception definition heats synthesis of of of , , 473 , 475 - of , Agrigentum , 438 , , of Galileo of Hume Energy of Bacon , , , 151 , - 447 - , 146 , 149 , 343 of - grade . . 377 internal , of 378 a : 1, ( ; 9 - : 1, 71 of , , , varieties . , Kinetic energy Engine , heat Engine , , for - motion Heat , see of Steam systems of significance of of a of Epicycle . , - 85 , second - 84 362 of 385 , . terrestrial . , see Kepler 44 357 - 358 , 203 , 433 74 , 224 - 225 , ) , 370 , 348 of 389 an . ideal 453 . gas - 16 , . Frame earth 178 , 201 - 202 and , 205 , 207 , 209 , as fluids Freedom - 269 intermolecular , , see 204 - 205 , 263 of , 453 - 454 , Pierre , 441 the Louis , 382, 453 latitude , 13 , Geographical coordinates 40 Geometry , 9- 10 coordinate , 174 ( ftn ) - 251 moon Greek , 56 - 57 of 127 Denmark of Gibbs , 104 , 16 , 23 , 2R5 , 13 , 75 , 188 as , 250 degrees gas Gay -Lussac , Joseph , 232 , 33 , Ideal Gauge . pressure . 320 - 321 - , 92 , 250 of state , 472 Gassendi , 249 , 223 reference II of gas cycle for , 419 energy Geographic of for , kinetic theory of . 452 - 458 properties of , 445 , 453 specific heats of , 390 - 393 , 472 - , 252 , Joseph formula 474 - 346 motion mass , , 315 - 316 internal - 232 . 375 Fraunhofer an ideal Gases , Carnot nonconservative - 210 ' s surface unit 1, ~ 1, pendulum geographic 33 per . 465 . 482 molar , 221 , pressure , kinetic 453 - 458 - 349 , 344 of 153 - Boyle ' s, 323 Charles and Gay -Lussac ' s, 382 - , 263 of , Copernican physical 15 , 465 of , kinetic theory of , 441 , 443 , 445 static conception of , 443 , 314 of , 207 Foucault 356 , , 183 , 223 of . 183 - 185 discoveries universal of - 249 and Formalisms '4 327 , Gaseous state , 445 - 446 Gas law . see Equation - 447 Frederick 223 10 , , ( ftn . 263 unbalanced inertia theory constant 389 astronomical ) - 162 , 227 transmission ' s 300 , . J . G .. 280 Gas ) ideal , 224 torque 102 33 , ( ftn the , and 264 . , Equilibrium chemical 95 complete celestial Galle - 309 , 446 stress of telescopic , , 246 of , 161 restoring ) 110 . and law projectile , 481 , 245 446 , state - Equations , . - - 317 interatomic 435 434 ftn thermal " ' " 85 383 Equator 161 , 329 cohesion law 361 Equation . of , . , ( 89 law Equalization . 234 . 139 , 359 of , centrifugal and areas Equant , life 439 84 , of , 317 gravitational of Roland 136 , 4 , 70 , 317 of , 315 frictional - 435 disorder nature , Equal , pro , 112 , 151 - 157 , 223 287 , experiments of , 164 free -fall theory of , 161 - 163 1/ Saggiatore , 151 , 343 432 measure Epicurus . . the , , 431 irreversible cesses EotvQs , - scale ( ftn conservative in 162 Gas , 232 concept , 434 growth , , 307 , 281 centripetal , System ) , Dialogue on the Great World Systems , 156 , 183 ( ftn ) Dialogues Concermng Two Ne \v Sciences , 156 , 162 , 164 ( ftn ) and ecclesiastical authority , , , Daniel , definition Force engine 434 definition 130 theory - pound Way 155 friction Foot engine biological cosmological , science , plastic nature Galilei , 388 - earth velocities 155 - 157 , Benjamin Fluids , ( Milky , 165 , and ) , 136 , 139 - 147 recessional 374 , 439 , 441 , 219 227 harmonic , Galileo temperature 347 and shift - reversible , Gabriel Fluid 344 see 145 . 445 galaxies Flow 1 , , universe mechanical of , 367 124 , 135 - 136 universe adiabatic and 343 . steam Entropy Newton ( external red Galileo of Huygens Galaxies , 365 82 - 85 , simple ~ the . 422 of energy heat 224 , , of Fixed 376 , latent Galaxy by Vaporization of Farrington . machines 1 and of , 366 Faith 344 375 systems as of , see rate Fahrenheit , , 169 - 171 of , 142 , 144 - 147 147 heat A ., 147 of , 397 , mathematical of , 74 454 as , principle and - , 224 , Aleksandr , formation Fusion , 407 heat 472 481 Potential Energy 453 . motion against , 327 , 444 Friedman - 478 . 168 , cooling External 429 392 227 , , 229 , 230 - 232 work Frost spheres 359 , of also , . 224 - 225 , Aether Fahrenheit 329 , 472 observation , Oliver 374 of of 380 dissipated transmission units static - 472 164 432 - grade . gas , sources . low - mechanical and 429 and internal elementary , 74 , 353 degradation , relative Functions Experimentation 448 161 - 162 , rolling , 232 sliding , 229 - 230 , 331 , 9 - 10 , 71 , 73 152 of see of , ' s'ee Expansion conservation high Errors 417 , and , 149 297 , physical , 170, 420 Ether 326 binding 42 , 481 Evolution 296 , 161 of , 228 232 , 317 ( ftn ) , 370 26 - 28 , , 469 heats Evaporation 107 439 Empiricism fluid , 119 Evans of 24 , of concentric 476 , 224 - 237 of atmosphere , 32 , 73 Eudoxus 442 148 definition Empedocles , Friction heat of , 469 specific Euclid 439 - day specific 315 Greek Fresnel , August in , 371 469 , 41 - 42 form , 329 Eros of early , ideal theorem Eratosthenes , 446 law , , , Erg 313 ' s Elements Ellipse relativity . Elasticity 458 , 46 , 50 of , general , acceleration , see Acceleration of gravity definition form and of in colure Equipartition 468 theory , , . 433 44 , 76 . 285 408 , 361 , 415 411 147 , fluid es , 20 , 22 425 407 408 Free -fall accelerated , 378 precession 381 408 , Albert ' s - 358 working Equinox , , Einstein 357 Equinoctial . 432 347 thermodynamic , , engine of Einstein an thermodynamic , 475 , 478 - 469 of , 249 thermal 74 , 419 , 468 , body 28 technique , , 366 48 27 Poly Ecphantus kinetic 42 rotative star of poles 28 471 , 474 , Gilbert . 68 - 69 the universe , Josiah , William , 147 Willard , 262 , 469 , 13 , 33 - 494 INDEX Glanville , S . R . K ., 26 ( ftn ) Heracleides Glass , of Pontus , 75 - 79 , 89 Jones , Howard Jones , Sir Mumford , 2 ( ftn ) 449 Heraclitus Globe , celestial , . 69 , 438 star clusters , 136 , , 17 , Spencer , 119 of Alexandria , 399 Joule , James 138 Herschel Gnomon . 44 Hero Globular H , Sir William , 280 392 52 Hertz Gold , Thomas Governor , , Gradient 149 steam of Gram atom Gram - calorie Gram mass Gram molecule 423 , - engine , temperature , , , , ( ftn Holton 464 law universal of , see Newton of , 266 earth 274 energy ' s , surface 339 - Hooke , of celeration of of , 204 , 331 , , of Greek science , , atomic 336 , see Ac - - 211 , 249 , 339 - 86 , 304 , , , , hour Greenwich meridian , Guericke J . , G 437 Otto 74 - 86 - 440 67 - 72 , , , 40 33 , Yon , use of of angular 39 , motion Carnot , , , Immanuel , Lord heat , in the in Kepler 145 165 , 159 Kepler , 145 Ice , melting dry Ice , of see gas , 359 , 222 , 259 , definition 453 Joule Ideal , 's Kinetic energy , 317 - 319 of - gas , , 382 383 , , 389 , , 392 , scale , 423 , problems Impulse , 160 , Inertial frame Infinite universe , , 183 , first , , , , , 250 celestial 103 , 484 - 490 , as see an forces , , and also , - 447 , heat , Leavitt area 446 specific Heat of stars square law closed Irreversible , , , , , es change of 352 sta te , 416 ( ftn ) J ., 366 James Jammer , William , Max , , 83 , Gottfried Lever ( ftn ) 365 , geocentric gravity Levers , 273 Life , 429 Light Wilhelm , Abbe ' Georges , 70 , 438 , 439 arm , 209 , J . J ., 280 , 204 , 209 , 345 , and entropy , 434 , emission of , 444 of , 130 , 482 Light - years Line of Line vector free 99 versus , 131 , 294 Lemaitre Liquids Lawrence , , Henrietta , 122 , 481 nodes Lippershey 464 , 367 vaporization , , 282 - Lee , O . J ., 121 speed 432 88 , fusion of of Leverrier 270 orbits motion Isothermal , process growth culture , - 267 planetary entropy Brightness intrinsic 265 physical Isochronous see 441 , ( ftn ) , , 44 Leucippus brightness , ( ftn ) , 101 variation 284 Leibniz energy Isotopes , 430 of , 441 - 443 , 13 , 16 , 23 , 33 - 35 and 424 of heat astronomic 285 - 490 396 380 , , ( ftn ) heat Latitude 233 489 Displacement 96 . 103 - 113 pressure 404 , 426 , 436 , 450 452 and , T . S ., 74 Latent 398 reference Intermolecular Islamic , A ., 441 Kuhn 399 221 356 , 156 , and gas theory Kronig Latent 298 , of , Intrinsic von , , engine of Inverse 466 , , 468 - 469 of assumptions 412 steam , 367 - 369 , 444 458 , 254 revolution Internal , , 334 - molecular 160 infertnce , 458 , , 335 - 337 theory basic physical , 441 , 455 - 458 304 of Impetus , 353 temperature equilibrium Kinetic , , 326 translation - 424 Idealism of 265 , , 364 thermal agitation 470 - 473 Kinetic 393 motion 112 - 113 , motion rotation Kinetic for temperature Integration 90- - calorie Kelvin 466 393 - 385 planetary 108 , harmonic of solid 465 law 262 , law , 108 , 269 , 271 - 273 , 329 , ( ftn ) 106 - 113 , of law , 267 Kilogram of state , laws Kilowatt 277 dioxide of Inquisition of vaporization . see Latent heat of vaporization Heat pump , ideal , 418 I-leating coil ; 376 Heating function , 395 Heeschen , D . S., 142 ( ftn ) third , of equation , 458 , 466 , 425 law , 111 - 113 , 269 , 273 367 Carbon point Ideal , , 388 , , 107 and moment , 418 's 319 312 , 385 , 420 - 423 Johannes , 148 , of , 393 thermodynamic energy , , - 420 , 281 , 287 , 296 , sun Thom 393 , temperature values , 327 universe , . 360 - 361 . 367 - 369 Hermann , the Hydrostatics thermodynamicsInertia , 348 , 449 kinetic second , of absolute 423 , 425 negative universe machines , and 80- 84, Kelvin 297 268 385 , experiment concept and 142 Christian Industrial , 413 - 418 theory , ) , , 277 Wil Iiam 303 , temperature measure ) , , 307 - plug and ( ftn of , 277 energy ( Sir son ) , 428 329 the , of Kant first David , composition Kelvin visible 344 theory of , 370 - and degradation of energy , 429 and kinetic theory , 444 by radiation , convection , and Henderson 315 481 P . , of Hydraulic efficiency of , 419, 420 , 425 conduction , Edwin age Huygens engine , types of , 399 , 412 , , Hour angle, 36- 39, 42 Greenwich, 40 Hour circles, 36, 37 Hoyle, Fred, 149 Hume 312 term , in , 380 as a vibrational Helmholtz , 38 Inductive of . 363 . 364 329 ( unit heat units Heliocentric 315 of , 277 of , 153 , 277 porous , 83 371 . 481 spontaneous , and - hour Idealization , see Latent flow 270 14 262 specific , see Specific Heat , elasticity , 440 matter of , see Caloric mechanical equivalent , of and satellites III 147 444 ideal of Horsepower Hubble Halifax, Lord, 218 Halley, Edmond, 268, 270 Halley's comet, 274 llarvey , William , 303 Hawkins. GeraldS .- 57- SR Heat, in Aristotelean physics, 356 atomic, 472, 475 Black's theory of, 357, 360361, 369 as a form of energy, 327, 369371 generationof, 232, 369- 371 kinetic concePtionof. 441. 443- Heat 268 astronomical Hydrogen latent ) , ) Horsepower Hubble angle ., , 66 philosophy Greenwich 434 of theory of Gregory ( ftn , ( ftn law , Hour 210 theories chronology and 's 262 452 , gravity , 66 astronomical and , , 337 259 work 106 as a source Robert Horizon on - 342 acceleration center , , 447 astronomical , , , atmosphere 279 31 ) 441 potential Gravity Hooke 481 Gravitational the 's , mass Gerald ( ftn gravitation ) ) , - 465 constant , Jupiter 481 241 of 275 367 ( ftn 364 , law , 465 , Gravitation 453 - 454 407 , 57 , 188 , Hans , 153 , 315 - 316 , 449 - 450 surface Lobachevski of , 319 , 9 , 147 , 219 E . , 146 Hicetas - 393 INDEX Locke 495 , John Longitude Molecular , 305 , 306 , 310 , 13 , 33 , 39 - 40 , 54 celestial , 44 , 91 Lowell . Percival . 280 Luminosity , see short Lunar Society table Molecules Brightness of Birmingham , 406 . ton ' s laws in system Machine ~, perpetual Magellanic Magnitude beams Moment , . of the celestial the earth sphere , distance eclipses of earth of , 275 , 480 and planets , 278 - 279 , of the . Materialism , 302 , 304 , 440 gaseous Robert of ( ftn ) , von , time 374 , , 53 , 241 advantage , 346 , 402 Mechanical efficiency of a heat engine , 408 Mechanical energy Mechanical Morison , 100 , 220 - 259 , see also , laws of motion Newton Motion free in , 469 , 471 - 472 , terrestrial celestial Meridian 220 221 . , , 232 , 259 - , - 235 ( ftn ) , . 250 271 , , 254 221 , 252 - - 251 , Newton of , 100 ' s , see laws 474 of - 478 geometry , 130 , , 9 - 10 , 153 reactions , , Objectivity Eliot 148 106 . 32 on of ( ftn ) revival of freedom of , ," circular relative 152 , see of 167 75 - 93 - 85 , also 183 , 95 91 - 96 Kepler planetary , ' s motion 274 disorder Nicole , and , 160 entropy motion , , , , , Osiander - - 297 , 102 Oscillatory , 348 - 353 vibratory , in Parallax solids , 448 - 449 , Andreas of 10 - 15 , 348 , 103 , - 435 353 ( north Nadir , 14 the stars , apparent , Almanac , American , 34 Parsec , 122 , Blaise Pascal ' s Peirce , , Sir , , , 365 , , , Period , 166 , 439 , 441 of , 269 - 270 , of , on social Thinking , 309 - 311 of , 217 - 220 O Plicks , 219 Principia , 69 , 157 , 269 - 270 Phase Philolaus , , gas 270 spring , , 55 , . 57 . T ., , 74 angle , 467 . , atomic 92 60 , - 95 , , 109 92 468 machines , 374 475 , scientific , 352 353 motion 56 - motion A 252 353 Ideal , Jean Philosophy and , orbital Perpetual , 99 pendulum synodic Petit 319 loaded of . 33 , see simple Perrin see 108 sidereal gravitation 287 , 299 - 311 of Periods , ., 348 of , , addition 274 Perihelion of , 218 - 220 of , precession engine , 119 312 Foucault 165 gas of Isaac , CharlesS torsion . 402 steam , 159 29 principle Pendulum , , latitude , 121 118 forces algebra of Perfect discovery of law by , 262 - 267 impact of ideas life Vector simple . Thomas impact , Pascal mysticism , 87, 102, , of Parmenides pole ) , 11 , geocentric Parallels , 40 achievements heliocentric Parallelogram 402 - 403 Newton or also celestial Neoplatonic 117 horizontal , 44 , 121 - 122 NCP , annual 475 . 477 Newcomen ~ -; of molecular speeds, 463 Mind-and-matter problem, 303305 Mines, pumping of, 400-401 Models, molecular, 470 Molar specific heat, 472, 473 Mole (gram molecule) , 46~ Molecular beams, 461- 463/ - , 73 135 177 , 179 - 181 Newcomen of , Oresme , 151 296 planetary comets Order , 104 motion radius , , , , laws , 162 - 163 , 74 - dimensional of Neptune , discovery of , 280 stars , 124 , 135 - 136 and Kusch ' s mp :lc;11rpmpnfc reason 101 t t t systems , 241 - 243 , 329 . Rev . John . 274 versus Orbits , 244 - 249 accelerated Navigation , 276 authority 160 306 Aristotle 292 versus , 167 - 182 of , telescope ( transit ) , 18, , , by , casual of , 161 - 185 " violent science , astronomical , 161 - 163 " and in Observations , 88 dimension Meteors , 276 , 370 ( ftn ) Miller , 205 Numerology Orbital Nautical system for 147 One proper , 33 Way . galactic 250 455 - 227 375 - Euclidean 471 , 474 , 478 Metric Michell Milky 223 motion Non perpetual , 374 projectile , 183 - 185 . simple harmonic , 348 - 353 41 , 43 . Meteorites , , mechanics , 251 , Mumford , Lewis , 51 ( ftn ) , 309 Mycenae , 64 , 14 , 39 plane . 14 . 33 Meridian earth fall one 's 270 Meridian - scales failure , degrees of , 474 - 478 statistical the influence Motions Melting , 366 , 449 Mercury , 77 - 81 precession of the perihelion time , 106 , 285 -286 . Samuel vibrational , Newtonian , , Newtonian of Jupiter , 153 , 277 heat , 370 - 371 . 481 failure tides uniformly of - 253 of . 153 uniform , 326 equivalent law law 279 Novae " natural Measure value of a physical quantity , lR9 Mechanical 220 - 478 also Galileo ' s analysis units , reference of and learning 392 solar Mechanics 268 - 269 , Nuclear 4f ; Q Mean of , of , 118 , 480 Moslem of , 315 - 316 , 445 - 450 Mayer , Julius ~ ms of second of , 57 Moons Matter of heat , 361 Maxwell , James Clerk , 452 , synodic and sidereal periods of , , 297 Matter , solid , liquid , and states on , 55 - 57 science motion , 221 limitations of atmosphere phases of ,. 55 - 56 , 68 - 71 of , in , shell molecules 183 f ( ) rmali of , 57 surface Mathematics , beginnings of , 8 role ~ ~ 474 ocean of to , frames of , 56 , 57 orbit sun , 277 , 480 Greek and , of spherical laws law third motion 480 uniform ' s first influence of , on 278 - 279 of , 240 - 241 moon a application ( ftn ) of , 257 - 259 , 278 , 334 orbits ) 259 of , 253 acceleration center ( ftn 481 266 formulation Newton 279 , 233 the , 461 - 462 , 336 , 489 - 490 Moon , absence Mass , , 252 conservation Monists . 438 , 33 - 36 , 39 - 40 243 ? f;Q , 252 - 259 Mars , atmosphere of , 279 orbit of , 80 , 108 ( ftn ) , 112 variations in brightness , 78 measurement for . inertia ) , 2 / 14 - 2 / 17 angular . 273 37 , 44 - 50 of of Momentum . 320 - 321 Mapping , 442 force gravitation mathematical of , 442 - 443 , 446 , 447 , 452 molecular of of planetary 273 to . 455 . 477 between law closed New - reality of , 467 stability of , 448 , 241 - 243 , 329 simple , 344 - 347 -motion , 374 clouds , 131 , 133 of stars , 123 ( ftn ) Manometer of , 422 , 470 , 477 forces ( unit 's and application monatomic MKS Newton of , 473 , diatomic of scale Newton basic conception stars , intrinsic month . 25 Lunar weights , chemical of , 463 - 465 351 and acceptance theories theory , , 438 of 101 - 441 496 INDEX Philosophy ( continued ) of common sense , 83 of Descartes , 262 , 296 divorce in of the science of 379 , 289 century Pressure , 299 , , 151 67 - 73 , , 296 - 297 82 - 83 , 434 438 - mind problem neoplatonic 102 of in , mysticism , 87 , , 111 scholastic Almagest Physical , quantities primary complete , 178 and , , 188 178 - 189 secondary , Ptolemy 178 , scalar and vector Planck , Max - 102 laws Planets , of also , 188 water , 76 , 78 masses of , 279 's , 400 , 400 - driven ( ftn ) ot , 85 , in ( ftn ) - 401 , 401 301 Pythagoreans periods , 93 - , 71 , Samos , , 480 theory 300 , 85 , 299 motion of , 42 , 59 - of Quantum 29 , brightness of , 60 , and 70 - 71 , Quasars heat secondary , , 136 , 142 flow , 281 ( ftn ) RAZ , 9 , 70 - 71 , 86 , 87 , 438 Pluto , discovery axis Polar coordinates , celestial , 193 , 273 Gregory Pope Paul Pope , 145 Urban Position Ramus 11 - 12 XIII communication , 291 of , 295 , 156 , , 198 - 171 , 339 of heat Pound - force Poundal - 200 ) , variable quan - , 175 Red , 376 , 98 , 304 , observation , 296 stellar spectra space vehicles atmosphere , 481 , general Religion and 302 - 327 mathematical observational , 142 into , 370 ( ftn 147 , 271 , science , 307 Renaissance of , 374 steam , 398 , ) Power plant Resultant of , 381 steam , 408 , 425 - 427 289 , 300 - Sextant - 309 , 408 Pragmatism Retrograde , 99 Precession , the equinox es , 24 , . 26 - 28 , 42 , 44 , 76 , 285 the perihelion of , absolute Mercury , - 322 - 325 and , 321 , 317 kinetic 453 - 458 - 319 theory 167 , 194 - , 314 - 315 , 316 , 370 Sidereal period , 56 , 92 - 95 , 109 Simple harmonic motion , 348 - 353 Slope of a line in physical units , 174 Carnot cycle , , 371 gases entropy of Richer , Jean Snell proof Snow - 372 of state , 416 , Bruno , , 118 41 - 44 , dioxide . 373 thinking and . Newtonian physics , 309 - 311 , 70 - 71 , 86 46 , 48 , Ptolemaic theory of , 84 - 85 , 101 - 102 59 Roebuck Socrates , 468 Solar system, Copernican theory of , see Copernican theory , 158 , , Marian , 65 , carbon Social - , 430 Learning ascension ( ftn ) Slug , 239 Smoluchowski physical changes Revival Right of / ) , , 42 , 92 the of and knowledge , , 36 417 , 324 of , 314 hydrostatic , - 418 cesses , 322 , 321 definition and 417 Reversible atmospheric gauge of Reversibility 270 Pressure 256 , 223 motion Reversibility of of , sum , 205 , 397 Shapley , Harlow , 134 coefficient ( vector 195 Theories , 304 - 305 257 , 327 efficiency , see , 19 - 23 Sense-experience . 89 . 158 Restitution - 399 291 - , 295 , 297 . 292 theories , breeze Seasons Shear sources 289 , scientific , Sea of Relativity , theory -building , 293- 295 - 144 ~ l , 337 procedures 296 in - entry , John of , faith , 307 - 309 method , 98 of . 296 - 29R Scientific shift Re knowledge , nature and religious Scientific , 453 appearance versus , 339 , 353 Scientific Scientific evolution - 302 306 , 451 , 239 . 326 172 and , 240 Power ( ftn , 148 Reality - 342 mass gravitation 68 297 motion latent 67 , 101 ) of , chemical nuclear and technology , 2- 5, 158, 293, . 302 , 301 , 326 center , Reason harmonic . 299 Reactions , 168 , 191 astronomical local of , 398 - 399 Jr . , change tity 135 graphs energy H ., Rationalism , 304 Potential of , 5 - 6 309 , 369 , 111 J . of , 26 VIII vector Positivism and , Rate , stellar , 367 of , 371 , Petrus Randall V , 156 - time Position physics origin of , 4 and religion , 289 , 300 - 302 , 307 - ) theory 296 , Populations ( ftn , heat wave . 11 . 28 Pope and , 18 Radiation , 11 , 18 , 35 , 39 star in limitations of , 306 - 307 mathematical foundation , 478 , 46 Radian , 13 Poles of , 440 of , 280 Polar Pole in mathematics 297 Plato Polaris distinction . 191 cycles in growth 78 - 79 Plastic , Schrodinger , Erwin , 434 Science , classifications of , 6- 8 definition , 394 , 476 vectors Schiaparelli , Giovanni V ., 80 Scholastic philosophy , 88- 89 , 252 , 271 specific of Scalar -vector distinction , 166 - 167 , 191 and motion theory and components , , 439 Quantity 60 , 77 , 92 in primary of , 342 191 - 194 , 328 161 , , 339 - 342 energy Scalar , 73 , 83 , 87 , 106 Qualities , artificial - 402 , 440 of of , 441 St . Augustine , 87 St . Thomas Aquinas , 88 , 103 Sandage , Alan R ., 136 Scalar -vector nature Pythagoras heat speed of , 354 - 355 Satellites , of Jupiter , 153 , 277 Savery , Thomas , 402 - 320 , 400 Purpose , 104 , 106 ( Benjamin . ) , 370 , 374 , 380 STP , 384 89 - 438 , 113 variations 84 - 85 , . 59 - 60 and Ptolemaic , 319 mines , 209 , 249 London , 218 , Bohemia of escape , force suction motion of radii retrograde Kepler , 480 motion 94 , 109 91 - 96 , of , 279 inferior observed , planetary , atmospheres orbital - 167 75 - 85 , see 73 , , 418 for , - of , Count Thompson Satellite , 312 , 52 , 74 - 76 , , 233 system steam orbits 101 in , 166 , 262 , 476 Planetary 121 - 102 , air heat , 89 , 218 44 , I , 73 Pumps II Rumford , , 85 , 89 , 101 101 243 Plague star , astronomical equations - 185 c ' \ ncept Claudius speed , 459 earth 268 , 406 a , 163 the 81 , 282 - 283 Rudolf of , 87 Rotative equilibrium Royal Society of 90 , 95 - 96 , 434 Physical a - 321 , 183 Proportionality , 88 Photosynthesis for of , 406 motion 122 , civilization Root - mean -square Rotation , 33 motion , 98 - 99 , , 419 , 320 , Joseph Ptolemy pragmatism 323 relation meridian Proper , . 323 Projectile - and - matter 303 - 305 of ley Prime 440 , 416 gauge Priest , Roman , 453 diagram , 409 gas Pressure empiricism Greek gases - volume - 311 of of - volume - 297 from eighteenth mixture Pressure , 406 Tychonic theory of , 80 , 104 497 INDEX Solid elements , 475 - 476 Solid state , atomic heats 315 - 316 , of , 445 , 448 - 449 Solstices , winter and summer , 20 , 22 - 23 Sound , speed of , see Speed of sound Space , curvature of , 147 Specific heat , classical theory of , 472 - 474 definition of , 363 , 394 -:-396 of gases , 389 - 393 , 473 influence of vibrational quencyon and internal molar fre - , 477 energy , 396 , 472 - 473 and quantum theory, 478 of solid table elements , 475 - 476 of , 365 , 473 variation of , 191 with temperature , - 194 of water , 363 , 366 ( ftn ) Specific heat function , 395 Spectra , 125 - 127 absorption , 126 - 127 bright -line , 125 , 126 of tion, 399 mechanical and thermodynamic efficiency of, 408 Newcomen. 402-403 noncondensing, 408 Watt's condensing, 405 seealso, Heat engine Steam jets. 399 . Steampoint, 359 Steam pumps, of Savery and Newcomen, 402 Steamturbines, 373, 400 Stern, Otto, 463 Stevin, Simon, 159, 204, 205, 374 Stone Age, 61 Stonehenge , 25, 57- 58 Strain, elastic, 315 Strato, 79 Stress, 314 in a fluid, 317 frictional , 316 shear, 316 Suction pump, 400 Summation sign, 258 Sun. chemical constitution of , 127 as a clock distance interior stars . 127 - 130 . 144 Spectroscope , 125 mass Speed , 166 ( ftn ) , 171 - 172 motions of free terminal Speed fall , 161 - 163 . 162 of gas mean and Brownian 467 and value , root - . 459 spectrum Sundial , 466 - Sundial , 461 of , 342 , 352 location chemical of , 41 , Technology , 2, 5, 158, 293 and , 135 as clocks distances of , 16 , 18 of , 120 - 125 of , 148 globular cluster of , 138 magnitude of , 123 ( ftn ) morning and evening , 77 parallax of , 121 - 123 motions and of , 44 , 121 - 122 Celsius scales , absolute , 387 centigrade , 385 , 388 , ,. 359 , 385 , 388 Celsius , 130 Fahrenheit ideal , 359 , 388 thermodynamic , 388, 423 - 425 , 425 ( ftn ) , 430 . 469 . 471 - 472 thermodynamic , 386, 388, 420425 Steady -state cosmology , 149 Steam engine , cyclic , 408 - 410 industrial 421- gas , 423 - 424 Kelvin mechanics thermodynamic , 423 of , 379 of 383 - 385 , 389 , 453 , first , 458 , 466 of , 357 421 , 131 , 159 , 201 , 203 - 215 the energy reaction thermodynamic , 386, 420- 425 465 and kinetic Temperature absolute State, thermodynamic , 377- 378 Statistical , 18 , 41 measurement of , 12 ; 38 changes equation , ' s , 153 Mt . Palomar , 134 Temperature , and chemical , 356 equality of , 358 gradient of , 367 , 131 variable Galileo meridian , 50 culmination trails revolution Lick , refracting , 45 circumpolar , 16, 47 pulsating industrial 44 of , 10 - 15 stars Statics the Telescope , equatorial mounting of , motion brightness of , see Brightness of proper , 342 , 343 ( ftn ) 398 , apparent double , 433 thermodynamic , 343 (ftn ) , 377 of , 46 evolution , 430 isolated , 239 Star populations Stars Synodic period , 55 , 57 , 60 , 92 Systems , biological , 433 - 434 mechanical maps , construction 44 - 50 use of motions , 71- 72, 84 - 85 , 469 - 471 , 475 tension . 451 Surface Stability of a molecule , 448 Star , 131 Superposition of , 460 Standard , 34 , 40 , 153 Supernovae of , 461 - 463 of sound , 453 , 460 specific heat , 391 , 393 , 477 balance , 202 , 204 , potential energy of , 342 stiffness declination of , 127 time and speed of sound , 460 table and , 52 Sunspots diffusion Speed and Spring Springs of , 19 - 21 ascension of , 48 movement measurement , 119 , 480 of , 277 , 480 right molecules - square , 50 from earth of , 277 revolu / / ' - seeals.oThermometers Tension, 314- 315 Terminal speed, 162 Thales of Miletus , 9, 69, 438 Theodolite , 17 Theophilus , 87 Theories , scientific , 7, 293- 295 acceptance of , 101 criteria of excellence for , 100, 101 evolution of , 394 Greek and modern views of , 98, c)c) nature of , 96, 97 and reality , 98 value of . 97. 98 Thermal energy , of a solid , 449 and degrees of freedom , 474, 47 ~ distribution of , see Equiparti . tion theorem and specific heats, 472- 478 Thermal equilibrium , 357- 358, 361- 362. 458 and concept of temperature , 425 ( ftn ) and entropy , 431, 433 Thermodynamic efficiency , 408 Thermodynamic equilibrium , 378, 433 Thermodynamic state, 377- 378 Thermodynamic temperature scales, 386, 388, 420- 425 Thermodynamics , 376, 420 first law of , 377- 378, 380, 421 second law of , 377, 399, 428429 third law of , 377 (ftn ) use of the term " heat " in , 380 Thermometers . calibration nf . ?", q constant -volume gas, 358, 385387 helium , 386 ice point and steam point of , 359 invention of , 356- 357 mercury -in -glass, 358, 385 primary and secondary , 359, 3R) Thompson , Benjamin , see Rum ford , Count Thomson , Sir William , see Kelvin , Lord Tides , 106, 285- 286 Time . civil . 53 equation of , 54 local apparent solar , 40, 51, 54 local mean solar , 53, 54 measurement of , 50- 54 sidereal , 43 . standard , 53 sundial , 34, 40 universal , 54 zones of , 53 Timocharus , 26 Tombaugh , Clyde W ., 280 Torricel Ii , Evangelista , 312, 321 Torque , 207- 211 about center of gravity , 249 Toynbee , Arnold J., 62 Transit , meridian , of an astronomical body , 41 , 43, 48 Transit , surveyor 's, 17, 35 astronomical , 18, 41 Trevithick , Richard , 407 Triangulation , 115- 118 Truth . absolute . 98 Two -body system, 259 , 278 gravitational potential energy of , 339- 342 Tycho B rahe, 80, 104, 111 498 INDEX Uniform circular motion , 71, 244246 , 350 Uniformly accelerated motion , in one dimension , 163, 177, 179- 1R1 in two dimensions , 183- 185 Units of measure, "189, 481 consistent , 178- 179, 234 Unit systems, 178- 179 British gravitational , 239- 240 , 129 CGS and MKS , 241- 243, 329 Units of area, scale, 179 Units of structure , chemical , 442 Universe , age and birth of , 146147 Da.nte 's view of , 299 earth -centered , 74, 84- 85 energy of , 146, 148 entropy of , 433 evolution of , 145- 149 heliocentric , 83, 90- 96 infinite , 103 as a machine , 300 Universities , early , 88 U raniborg , 104 Uranus , irregular motion of , 280 Vector algebra , 166 - 167 , 188 - 189 , 198 , see mathematical also , components . 196 Vector Vector Vectors , physical one Vector , 166 - , 167 rule of statics , 205 - 207 , 223 Vectors , addition mathematical scalar of , 195 - 196 subtraction vector of , 196 - 197 of . 201 in one dimension ( scalar ) . 171 - 176 in two and ( vector three velocity Venus , maximum velocity distributed and law and mass of , 405 , and elongation of , heat , , 234 , 266 , 263 , 266 , 239 Alfred North , 304 ) , Marquis of , 402 . 326 as the a area under definite a of , basic of of , 331 , 336 , 371 - 373 gravity rolling sliding units Wright , 333 , 332 friction of , 329 , Sir , 328 , corrected bodies , 330 , 331 definition and graph integral definition Wren of , 77 - 81 , 210 gravitation , as on ) , 198 - 201 behavior solids force of reversible dimensions 93 observed , 202 as Work of , 197 . addition ) , 329 , I - I . F . , 393 Weight Worcester and speed , 166 ( ftn ) , 171 Velocities engine power in ( ftn of , 191 - 194 components Velocity Weber Whitehead by a scalar , 198 components steam motion , 190 - 198 multiplication of 449 quantities dimension sum ( unit Wave 167 . 191 in condensing Watt - 333 , 331 , 481 Christopher , 268 , J . K . , 31 ( ftn ) phases of , 154 - 155 Vertical circle Vertical motion Vinci , Leonardo , 17 , 163 , 181 - 182 da , 158 , 159 , 296 , 374 Vacuum , 440, 461 Vacuum pump , invention of , 319Viscosity , 232 , 317 ( ftn ) , 370 no Voltaire , 291 Vapor pressure , 366, 402, 416 Vowies , H . P ., 402 ( ftn ) and temperature , 436, 450- 452 Vaporization , latent heat of , 365, Water , decomposition of , 376 404, 426, 436 specific heat of , 363 two -current theory of , 366, 451unique properties of , 366 452 Water -wheel analogy , 411 - 414 Variables , independent and dependent Watt , James , 365 ( ftn ) , 402 407 , 169- 171 Year , length sidereal of , 24 - 26 , 28 , 481 , 28 , 481 tropical ( seasonal ) , 19 - 21 , 28 , 481 Young , Thomas Zenith , 14 , 219 declination right Zero Zero Zodiac of , 46 - 47 distance , 18 , 36 . absolute absolute . 385 , and state , 441 of . 48 . 50 ascension Zenith , 371 of , 24 , 76 . 387 specific internal . 425 heat energy , 476 , 378 26 ,