INDEX TO VOLUME IX. 



N. B. The pages in brackets are those of Part II. 



Air dragged by moving sphere, weights of, [73] 



a\oyos, meaning of, in Proclus, 111 n. 



Analysis, preliminary to dynamical investigation of 



diffraction, 6 

 Applicability of two surfaces, elementary conditions 



of, 456 

 Archtconiscus, 559, 564 

 Aristotle's account of Induction (Analyt. Pr. ii. 25) 



criticised by Dr Whewell, 63 — 72 

 Aristotle (Categ. 6) explained, 110 n. 

 Atmosphere, mathematical determination of pressure, 



temperature and density of, 636 

 Atmospheric temperature, data for determination of 



decrement of, 643 



Baily's experiments on Pendulums compared with 

 theory, [63], [92] 



Bands formed by plane dimmed mirror, [157], [167] 



Beams, curvature of deflected, [184] 



rectangular, breaking weight of, [188] 



Bernoulli, John, his treatment of the Cartesian theory 

 of vortices, [142]; his theory of a perpetual torrent 

 of matter, [144] 



Bessel's experiments on Pendulums compared with 

 theory, [73], [92] 



Bile, no natural relation to longevity, 69 n. 



Biordinal, defined, 516 



Biordinal partial equation, construction of, 537 



Biordinal equation, general solution, 538 



Body and Space, H. Wedgwood, Esq., on the know- 

 ledge of, 157 



Broken bands covering Portland dirt-bed, 566 



Cambridge Observatory, Longitude of, 487 

 Capital, transferable, principle of, 141, 146 

 Cartesian theory of vortices, gradual transformation 



of, [140] 

 Cast iron, direct compression of, [188] 

 Chain, oscillations of a suspension, 379 

 Chain suspended, equation of continuity of, 381 

 Challis, Prop., on the Longitude of Cambridge 



Observatory, 487 

 Cinder-bed, 560 



Clock-escapements, on some recent improvements in,417 

 Coleridge compared with Plato, 602 



Coloured bands seen in coated mirror of same nature 

 as those of thick plates, [149] 



Commodities, specific rate of change of, 132 



Conceptions and Intuitions, 599 



Conic of contact, 454 



Connexion of ordinary and singular solution of bior- 

 dinal equations, 524 



Copula, on Theory of the, and its connexion with the 

 doctrine of figure, 103 



Cost, principle of relation of, 144 



Coulomb's experiments on resistance of fluids com- 

 pared with theory, [77], [90} 



Cox, Homersham, Esq., on the Deflection of Beams, 

 and hyperbolic law of elasticity, [177] ; inexactness 

 of Hooke's law, [ib.'] ; discordance between experi- 

 ment and theory as to extension of iron bars, [178] ; 

 relation deduced from experiment between the 

 extension and force applied, [179] ; hyperbolic law 

 of elasticity, [180] ; curvature of deflected beams, 

 [184] ; breaking weight of rectangular beams, [188] ; 

 direct compression of iron, [ib.~\ 



on Impact on Elastic Beams, 73 ; impact of 



heavy ball on horizontal beam, mathematical inves- 

 tigation, 74; comparison of theory with experi- 

 ment, 78 



Criterion of flexure in a curve, 610 



Cusps, how determined, 611 



Cycloid, protracted, 151 



contracted, 152 



D'Alembert, his mistake in the Theory of Probabilities 

 seen by himself, 117 



Definite Integrals, numerical calculation of a class of, 

 occurring in the undulatory theory, 166 



De Morgan, Prof., on Differential Equations, 515 ; 

 contents of paper, ib. 



on Singular Points of Curves, and Newton's 



method of coordinated exponents, 60S; subordinates 

 to an equation to a curve, 609 ; criterion of flexure, 

 610 ; similar points, ib. ; multiple points, 611 ; 

 cusps, ib. ; isolated points, ib.; different methods 

 of treating the inquiry into singular points, 612; 

 theorem of Mr Minding, 614; Newton's parallelo- 

 gram, 619; pointed branches of curves, contro- 

 versy, 626 



86—2 



