Treatise on Natural Philosophy, Volume 2In this groundbreaking two-volume textbook first published in 1867, Lord Kelvin and Peter Guthrie Tait offer a unified scientific explanation of the physical world through the laws of energy. They defined much of what today is considered physics, covering such realms as liquid motion, instantaneous velocity, and the motion of a rigid body around a fixed point. From simple movement to fluid dynamics the authors provide readers with the necessary science and mathematics to describe complex systems of motion. Irish scientist, engineer, and author LORD WILLIAM THOMSON KELVIN (1824-1907) is considered an foundational thinker of modern physics. He invented the Kelvin temperature scale and also helped develop the first transatlantic telegraph cable. Scottish physicist PETER GUTHRIE TAIT (1831-1901) was educated at Cambridge. Among his writings is the scientific and religious text The Unseen Universe (1901). |
Contents
| 1 | |
| 4 | |
| 8 | |
| 19 | |
| 29 | |
Addition | 62 |
Second investigation of attraction of ellipsoidElliptic | 70 |
Small addition | 76 |
Definition of Principal axes new | 282 |
Reference added | 283 |
Problem of 696 solved for spherical shellDilatation proved | 286 |
Slight addition | 289 |
Considerable addition new | 293 |
Surfacetractions givenComponent tractions on any spheri | 294 |
Small alterations and additions | 298 |
Plane strain definedProblem for cylinders under plane | 300 |
Centre of gravityCentrobaric bodies proved possible | 82 |
Some alteration | 90 |
Rodrigues coordinates new | 95 |
Addition | 96 |
Small addition | 97 |
CHAPTER VIISTATICS OF SOLIDS AND FLUIDS | 98 |
Somewhat altered | 100 |
Rewritten and enlarged | 101 |
Rewritten | 102 |
Addition | 107 |
Additiontransient terrestrial nutation of 306 days new | 108 |
Slight alteration | 110 |
Additionrolling and spinning bodies new | 111 |
Additiondynamics of twist in kinks new | 123 |
Equilibrium of a flexible and inextensible cordCatenary | 128 |
Small alteration | 130 |
Additionintegral curvature horograph new | 137 |
Spiral springsSpiral spring of infinitely small inclination | 144 |
Elastic curve transmitting force and coupleKirchhoffs | 151 |
C | 177 |
Some alteration | 184 |
Plate bent by any forcesConditions of equilibriumEqua | 188 |
190j Addition 198 Rewrittendegrees of freedomgeometrical slide new | 198 |
Symmetrical flexure of flat ringFlexure of flat ring | 200 |
201 Slight alteration | 201 |
Transmission of force through an elastic solidHomogeneous | 206 |
Slight addition | 212 |
Discrepant reckonings of shear and shearing stress from | 219 |
Units of length and time new | 223 |
Small addition | 225 |
Fundamental problems of mathematical theoryConditions | 234 |
St Venants application to torsion problemsTorsion pro | 240 |
Part omitted | 245 |
Torsional rigidity less in proportion to sum of principal | 259 |
Small addition | 267 |
Case of 647 independently investigatedRapid decrease | 274 |
Footnote new | 276 |
Application to problem of 696General problem of 696 | 280 |
Addition | 312 |
Small alteration | 317 |
Old 329 rewritten and extended | 318 |
Old 330with considerable additionsignoration of coordinates new | 319 |
Loss of apparent weight by immersion in a fluidLemma | 320 |
to 321 Same as old 331 to | 325 |
to 336 Same as old 318 to 328 with some alterationscon | 326 |
A homogeneous ellipsoid is a figure of equilibrium of a | 327 |
Equilibrium ellipsoid of three unequal axesGeneral problem | 334 |
Transition to hydrodynamicsImperfectness of elasticity | 336 |
Addition including slightly disturbed equilibrium new | 337 |
340 Some addition | 338 |
Digression on spherical harmonicsHarmonic spheroidHar | 341 |
Extended to include old 342 with addition 342 Same as nonmathematical portion of old | 343 |
Physical problems relative to plane rectangular and circular | 344 |
345 i to xxviii Oscillations with frictiondissipation of energyposi tional and motional forcesgyrostaticsstability new | 345 |
Harmonic spheroidal levels of high ordersUndulation of level | 352 |
Figure of the sea level determinable from measurements | 367 |
and 374 Same as old | 373 |
to 380 Same as old 375 to 379 with alterations | 374 |
Hydrostatic examples resumedNo mutual force between por | 379 |
and 382 Same as old | 380 |
to 386 Same as old 381 to 381 Old 385 and 386 omitted | 383 |
Lunar and solar influence on apparent terrestrial gravity 812 | 384 |
398 Harmonic analysis new | 393 |
Equilibrium of rotating spheroid of heterogeneous liquid | 398 |
Addition on calculating machines new | 401 |
Rewritten | 404 |
Footnote quoted from old 830 compare with new 830 | 408 |
Rewritten | 409 |
793795 | 411 |
Comparison of Laplaces hypothesis with observationThe | 415 |
Numerical estimates of the amount of tidal frictionSecular | 420 |
429 Part rewritten | 429 |
Rewritten 435 Extendedbifilar balance new Appendix B I Tidepredicter new II Equationsolver new III to VI Mechanical integrator new | 435 |
| 519 | |
| 524 | |
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Common terms and phrases
amount angle angular velocity anticlastic applied forces attraction axes axis catenary centimetre centre of gravity centre of inertia centrobaric circular co-ordinates components condition confocal couple curvature curve cylinder denote density direction displacement distance distribution dx dy dy dz earth edge elastic solid ellipsoid elliptic equal equilibrium equipotential equipotential surfaces expression external point finite flexural rigidity fluid friction function given harmonic Hence homoeoid homogeneous infinitely small integral isotropic mass matter modulus moment of inertia normal section osculating plane parallel particle plate portion position potential energy pressure problem radius rectangular resultant force rigid body rotation round shearing shell sides solid angle solid harmonic solution space sphere spherical harmonic spherical surface spheroid spiral strain stress substance suppose synclastic tangent plane theorem theory tides tion torsion traction twist uniform unit of length values whole wire Young's modulus zero