490 



INDEX. 



Arrows, velocity of, 370 ; range of, 373 



Athenseus, comic fragment preserved by, 161 



Atom, meaning of, as applied to a proposed division of 



octave, 130 

 arpaKTos, explanation of, 308 

 Attraction, formulae of, analogy between, and those of 



heat, 28 

 Attribution, unity of, discarded in favour of plurality 



of qualification, 185 

 Average, of A"" power of sum of values, theorem relating 



to, 412; not merely the mean value but also the mean 



supposition as to the mode of obtaining value, 416 

 Axes, moving, theory of, 1 — 20 



Baxter, H. F, M.R.C.S.L. On Organic Polarity, 248; 

 reasons for choice of this title, ib.; history of previous 

 researches, 248, 249; subject of the paper, TheMani- 

 festaiion qf Current Force during the processes of 

 Secretion : (i) during the formation of the secretions 

 in the mucous membrane of stomach and intestines, 

 250 — 252; Wollaston's conjectures and experiments 

 ■ on this subject, 253 ; (ii) during biliary secretion, 

 254 ; (iii) during urinary secretion, 255, 256 ; (iv) du- 

 ring mammary secretion, 257; (v) during respiration, 

 257, 258; concluding remarks (containing reference 

 to Graham's researches on OsTnose), 258 — 260 



Baynes, T. Spencer, Essay on the new Analytic, 448 ; 

 and Hamilton's system, 481 



Beams, motion of, under passing load, 360 



Beats of imperfect consonances, on the, 129 — 145; his- 

 tory of theory of, 129 — 135 ; Dr Smith's theory and 

 his formulse deduced, 135 — 141 



of two kinds, Tartini's and Smith's, 131, 132; Tar- 



tini's used by Sauveur, 131 ; the two kinds confounded 

 by Young, Chladni, and probably by Robison, 133 

 —135 



Biliary secretion, manifestation of current force during, 

 254, 255 



Blakesley, on his copy of an inscription, by Mr Munro, 

 374 



Bow, motion of vibrating, 359 ; power of steel, 373 



Breadth and Depth, use of, by Sir W. Hamilton, 225 

 note, 229 



Butler, Professor Archer, on History of Ancient Phi- 

 losophy, 94 ; statement of Platonic philosophy, 95 



Cauchy's theorem on the limits of imaginary roots de- 

 monstrated, with an extension thereof, 2t)5, 266 



Charges of propositions and syllogisms in ordinary use, 

 181 



Charts, Mercator's and Gnomonic Projection, 272 ; for 

 great circle sailing, construction of, 278 ; use of same, 

 279 ; examples, 280 



Chest, deformity in, will not arise from the defect or 

 absence of the pectoral and serrati muscles if the 

 skeleton be sound, 246 



Chladni, his confusion of Tartini's beats with Smiths, 



134, 135 ; disputed the claim of Tartini to the disco- 

 very of the grace harmonic, 132 n. 

 Circles, theorem concerning tangents to each pair of 



three unequal, proved, 171 

 Cirta, metrical inscription at, 374 

 Coil-machine, spherical electromagnetic, theory of, 79, 



80 

 Commodian, his poems, Mr Munro on, 376 

 Concert-pitch, cause of a^cent of, considered, 131 

 Conduction of current electricity, theory of, 46 



equations of, 39 ; reference to memoirs by Stokes 



and Thomson, 40 



Conserv:ition of momentum, principle of, 9, § 16 

 Continuity, ordinal, illustrated, 24 



of value and permanence of form, distinction be- 

 tween, 22 



Copula, of cause and effect, 179; other than "is" need- 

 ed, 193 



Core of electromagnet, effect of, 77, 78 



Correlatives, right of all in any set to equal fulness of 

 treatment, 452 



Cotes' theorem, a demonstration of, indicated, 329, 

 §26 



Current force, nianifestation of, during secretion, 248. 

 See Baxter, H. F. on Organic Polarity 



Currents, electric, action of, at a distance, 48 ; pro- 

 duced by induction, 50 



Curves, course and latitude, construction of, 282 



De Moivre's Doctrine of Chances, api^earance of «-•*' in, 

 418 



De Morgan, A. on the Beats of Imperfect Consonances, 

 129—141 ; History of the theory of Beats, 129— 

 135; Theory of Beats of Imperfect Consonances, 135 

 — 141 ; observations on tuning and on temperament 

 (Postscript), 141 — 145; Dr Robert Smith's work on 

 Harmonics, 129 ; two kinds of beats, Tartini's beats 

 and Smith's beats, 131, 132 ; unfavourable opinion of 

 Young on Smith's tlieory shewn to result from con- 

 fusing Tartini's beacs with Smith's, 133, 134 ; the 

 same mistake made by Chladni, and, probably, by 

 Robison, 134, 136; Tartini's beats used by Sauveur, 

 131; and Smith's accusation that Sauveur confounded 

 the beats of an imperfect consonance with the flutter- 

 ings of a perfect one shewn to be not true, 132, 133 ; 

 on the division of the octave and on musical intervals, 

 129 — 131; new division proposed, and a new term 

 atom defined, 130; various problems solved, as on the 

 number of mean semitones in a number of atoms, &c. 

 ib.; Tartini's grace harmonic, 131 ; Tartini's beats 

 considered in connexion with Smith's, 135 — 137; for- 

 mulae obtained, 138; Smith's formulse deduced there- 

 from, 139 

 On the general principles of which the composi- 

 tion or aggregation of forces is a consequence, 290 ; 

 tendency defined, 291 ; four postulates stated as the 



