674 



INDEX. 



De Mokgan, Prof., on some points of the Integral 

 Calculus, [107] ; on Singular Solutions, [107], [136]; 

 on solutions of differential equations depending on 

 elimination, [119], [136] ; on the number of con- 

 stants in a complete primitive, [124], [136] ; on 

 conditions of integrability of differential equations, 

 [129] ; on tho demonstration of the mode of trans- 

 forming multiple integrals, [133] 



on the Symbols of Logic, Theory of Syllogism 



and the Copula, and application of Theory of 

 Probabilities to Testimony, 79 — 127; methods of 

 this paper have nothing in common with that 

 of Prof. Boole, 79; progress of algebra as distin- 

 guished from arithmetic, 80; distinction of uni- 

 versal and particular may be replaced by others, 

 81 ; error of Vives, ib. ; inference in logic identical 

 with elimination in algebra, 83 ; some processes of 

 inference not reducible to syllogisms, 84 ; on the 

 formation of symbolic notation for propositions 

 and syllogisms, 85; quotations from Thomson's 

 " Outlines of the Laws of Thought," 88, 113 ; on tho 

 symbolic forms of the extension of the Aristotelian 

 system, in which contraries are admitted, 90 ; ditto 

 of the system in which all the combinations of quan- 

 tity are introduced by arbitrary invention of forms of 

 predication, 96 ; criticism of Sir W. Hamilton, ib. ; 

 on the theory of the copula, 103 ; probable inter- 

 polation in Aristotle (Categ. 6), 110 n. ; misinter- 

 pretation of Proclus noted, 111; on Theory of 

 Probabilities as applied to testimony, 116 — 125; 

 D'Alembert's mistake one of primary distribution, 

 117 ; strange remark of Laplace, 119 



Denison, E. B. Esq., on recent Improvements in Clock- 

 escapements, 417; Macdowall's single-pin escape- 

 ment, 420; three-legged dead escapement, 421; 

 three-legged gravity escapement, 425 



Determinants, 527 



Dialectic denned, 590 



Dialectic in Pluedrus and in Republic, Bk. vii. com- 

 pared/ 595 



Different effects of hydrogen and air on time of vibra- 

 tion, [9] 



Differential equations, some points in theory of, 515 



on singular solutions, [107], [136] ; on solutions 



depending on elimination, [119], [136] ; number 

 of constants in a complete primitive, [124], [136] ; 

 conditions of integrability, [129] ; demonstration 

 of the mode of transforming multiple integrals, 

 [133] 



Diffracted light, experiments on plane of polarization 

 of, compared with theory, 47. 



table of rotations of planes of polarization of, 46 



Diffraction, investigation of angles of, [173] 



Dynamical theory of, 1 



Distinctions of knowledge, 600 



Disturbance of material system, general relation of 

 initial displacement to, 14 



Disturbances in Suffolk posterior to crag, 443 

 Division of a subject in the Sophistes, 592 

 Drainage by tapping, 443 

 Drift in Suffolk east of Gipping, ib. 



west of river Gipping, 442 



Dubuat's experiments on Pendulums compared with 



theory, [83] 

 Durlstono Bay, 557, 562, 569 



Elastic medium, investigation of propagation of dis- 

 turbance in, 1 1 



Poisson's investigation of propagation of disturb- 

 ance in, 3 



Elasticity, hyperbolic law of, [180] 



Electrical images, Thomson's method of, [ll] 



Ellis, R. L. Esq. on Theory of Probabilities, 605 



Eliminants, notation of, 541 



Equation of repetition, 472 



Equilibrium of importation of precious metals, re- 

 adjustment of, [3] 



Escapement, Macdowall's single pin, 420 



three-legged, dead, 421 



three-legged, gravity, 425 



Factor of a differential, 518 



Fisheb, Rev. O., on Purbeck Strata, 555 ; insects in 

 Dorsetshire Purbecks, 555, 559, 562; section at 

 White Nose Cliff, 556; Upper Purbecks, 557; 

 Middle Purbecks, 558 ; Lower, 562 ; Ridgway, sec- 

 tion, 562, 574 ; Broken bands, 566 ; Swanage bay 

 section, 568 ; Durlstone bay section, 569 



Fluid motion about infinite cylinder, [53] 



an oscillating cylinder, [35] 



oscillating plane, [20], [79], [101] 



oscillating sphere, [23], [48], [81] 



pendulums, general results from equations of, 



[19] 



Fluid motion, equations of, about a revolving solid of 

 revolution, [99] 



Fluid motion, subsidence of by internal friction, [57] 



Fraction, developing self-repeating series, 474 



Gall-bladder, relation to biliary apparatus and longe- 

 vity, 69 n. 

 Gallow's Hill pit, section, 436 

 Gipping, geology of river, 431 

 sections of valley near Ipswich, 433 



Hamilton, Sir W. (Edinburgh), his logical theories 

 and notation criticised by Prof. De Morgan, 79 



Hemingston, strata at, 434 



Hooke's law, inexactness of, [177] 



Hopkins, W. Esq. on the External Temperature of 

 the Earth and Planets, 628; temperature of the 

 earth, circumstances modifying, ib. ; independently 

 of solar radiation, 634 ; dependent on thickness of 

 atmosphere, 635 ; atmosphere, mathematical deter- 



