INDEX. 



677 



of hydrogen and air on time of vibration, [9]; 

 experiments on effects of air on pendulums by 

 Sabine, Baily, &c, [9], [63] ; theoretical determi- 

 nations by Poisson, Challis, Green, &c, [10] ; Thom- 

 son's method of electrical images, [11] ; tangential 

 action of body moving in a fluid, South's experi- 

 ments, [12] ; index of friction of a fluid, [13], [17] ; 

 adaptation of general equations of motion to fluid 

 surrounding pendulums, [15] ; general results from 

 these equations, [19] ; determination of fluid motion 

 about oscillating piano, [20], [101] ; about oscillat- 

 ing sphere, [23], [48]; -about oscillating cylinder, 

 [35] ; terminal velocity of sphere in a fluid, [51] ; 

 fluid motion about infinite cylinder, [53] ; subsidence 

 of motion by internal friction, [57] ; comparison of 

 theory with experiment, Baily's experiments, [63], 

 [92] ; air dragged by moving sphere, [73] ; Bessel's 

 experiment, [73], [92] ; determination of index of 

 friction, [64], [79]; Dubuat's experiments, [83]; 

 Coulomb's experiments, [77], [90] ; amount of re- 

 tardation of sound by friction of air, [95] ; sugges- 

 tions for experiments, [96] ; equations of fluid motion 

 about a revolving solid of revolution, [99] 



Stokes, Prof., on Numerical Calculation of a Class of 

 Definite Integrals and Infinite Series, 166 



Stowmarket, section in artesian well, 439 



Subordinates of an equation to a curve, 609 



Suffolk, geology of some parts of, 431 



Supply, demand and price, mathematical expression 

 of relations of, 129, 134 



Surface considered as the limit of the inscribed poly- 

 hedron, 453 



different definitions of, 445 



Surfaces, generated by motion of straight lines, bend- 

 ing of, 446 



of revolution, bending of, 448 



transformation of by bending, 445 



Suspension chain, effects of marching in time, 392 



effects of transit of loads, 389 



on the oscillations of a, 379 ; index, 398 



Swanage bay, section, 568 



Syllogism, on the Theory of, 79 



Tangential action of body moving in a fluid, experi- 

 ments of South on, [12] 



Temperature of atmosphere at its upper limit, 638, 

 642 



Temperature of earth, effected by horizontal transfer- 

 ence, 654 



amount of decrease by diminution of atmo- 

 sphere, 644 



annual variations of, 657 



circumstances modifying, 628 



dependent on thickness of atmosphere, 635 



independently of solar radiation, 634 



influence of solar heat on, 645, 651 



of Jupiter, 660 



Temperature of Mars, 663 



of Mercury, 669 



of Moon, 669 



of Planets beyond Jupiter, 662 



of Venus, 664 ; offect of obliquity on, 665 



Terminal velocity of sphere in a fluid, [51] 

 Testimony, application of Theory of Probabilities to, 



by Prof. De Morgan, 116 

 Transformation of hypotheses in the History of Science, 



Dr Whewell of, [139] 

 Transmission of heat, different modes of, 629 

 Triordinal equations, theory of, 527 



Uranus and Neptune, long inequality of, i ; general 

 explanation of mode in which the disturbing forces 

 produce the, lv. 



Velocity of sphore in fluid, terminal, [51] 



Venus, temperature of, 664 ; effects of obliquity on, 



665 

 Verification of singular solution, 523 



Wakburton, Mr, on Self-repeating Series, 471 ; equa- 

 tion of repetition, 472; fraction developing self- 

 repeating series, 474 



Wave of dilatation, 12 



distortion, 13 



Wedgwood, H. Esq., on the Knowledge of Body and 

 Space, 157 — 165 



Whewell, Dr, on Aristotle's Account of Induction, 

 63 — 72 ; translation of Aristotle's Analyt. Pr., ii. 

 25, 63 ; induction proper always contains a logical 

 flaw, 65 ; illustration from Kepler's laws, ib. ; in- 

 duction in Aristotle's view not the result of simple 

 enumeration, 66 ; induction involves a conception 

 of the mind applied to facts, 67 ; illustrated from 

 present passage, ib. ; inductive propositions must be 

 convertible, 68 ; two emendations of Aristotle's text, 

 69 ; critical authorities for ditto, 70 ; other passages 

 illustrative of the emendation proposed, 71 



Intrinsic Equation of a Curve, and its Applica- 

 tion, II. 150; case of, protracted cycloid, 151; 

 contracted cycloid, 152 



Mathematical Exposition of Political Economy, 



II. 128 ; expression of relations of supply, demand, 

 and price, 129, 134; specific rate of change of 

 commodities, 132; equation of increased cost of 

 production, 135; of uniformity of international 

 prices, 138 ; of import and export, ib. ; principle 

 of transferable capital, 141, 146; of relation of 

 cost, 144 



Mathematical Exposition of Political Economy, 



III. [1] ; relation of import of bullion to prices, [1] ; 

 equation of imports and exports, [2] ; readjustment 

 of equilibrium of importation of precious metals, [3] 



Whewell, Dr, on Plato's Survey of the Sciences, 582 ; 

 Geometry, 583; Arithmetic, ib. ; Astronomy, ib. ; 



