INDEX. 



495 



the former congenital, the latter probably had their 

 origin after birth and wore a consequence of the for- 

 mer, 243, 244; cases, which present some of the 

 same features, mentioned by Messrs Quain, Poland, 

 and James Paget, 244, 245 ; all these cases illus- 

 trate the fact that varieties in muscles are most fre- 

 quent in parts the office of which is different in 

 different animals, 245; they probably exemplify also 

 primary defects in muscles, ib. ; another case com- 

 miunicatod by Mr James Paget, 246 ; no deformity of 

 the chest existed in any of the cases; hence cliest 

 deformity, as in chicken-breast, will not ensue if the 

 tkeleton he sound, though the Pectoral and Serrati 

 muscles be wholly wanting, 246; Pathology of the 

 cases shortly considered, 24(3, 247 



Paramagnetic or Diamagnetic sphere, effect of, in a uni- 

 form magnetic field, 70, 71; case when the uniform 

 field is that due to terrestrial magnetism, 71 



Induction, theory of, 44 



Parmenides (Plato), account of, 97, probably not a Pla- 

 tonic dialogue, 100; not referred to by Cicero or 

 Aristotle, 104; referred to by Athenaeus, 104; School 

 and theories of, 154; confusion in root of Eleatic 

 logic, 155 



Penteconter, 85 



Periodic Series, Theory of, referred to, and certain re- 

 sults on the discontinuity of arbitrary constants com- 

 pared therewith, 112 



Permanence of Form and continuity of yalue, distinction 

 between, 22 



Phasdrus, method of Division in, 163 



Philebus, treatment of Cynical ethics in, 160 



Pitch (concert), cause of ascent of, considered, 131 



Plato, Cosmical System of, by Dr Donaldson, 305 ; his 

 theory of sacred numbers,' 310; source of his mate- 

 rials, 313 



his theory of Ideas, 94; Sophista and Politicus, on 



the genuineness of, 146; alluded to by Aristotle, 147, 

 &c. ; Theaetetus, connected with Sophista, 151; Gi- 

 gantomachy, 157; Inventor of Divisive Method, 162; 

 Phsedrus, 163 



Poinsot's " couple d'impulsion," same in meaning as 

 angvlar momentum, 14 n.; his Thiorie de la Rota- 

 tion referred to, 18 



Polar Force, reasons for considering Organic Force as 

 such, 248, 260 



Polarity, organic, 248 ; history of certain researches on, 

 248, 249 



Politicus {YhAa), genuineness of, 146; reference to, by 

 Aristotle, 148; quotation from, 160 



Praecilius, an inscription by, Mr Munro on, 375 



Precision, ierm,inal, 200; relation of the two, 213 



Pressure, Statical, laws of, 299 ; Dynamical ditto, 302 



Principal Axes, the only permanent axes of rotation of 

 a body acted on by no forces, 13, § 24 



Vol. X. Paet II. 



Principles, general, of which the compogition of forces 

 is a consequence, 290 



Probable results, mode of deducing from obserrations, 

 421 



Probability, contrasted with facility, 409 ; case of in 

 an infinite number of events, 410; negative, 420, 

 421 w. ; indivisible of, 424 



Proof, considerations on, 214 



Proportion, Euclid's Doctrine of, referred to, 166; un- 

 necessarily general in certain special cases, ib. ; as in 

 the investigation of properties of geometrical lines, 

 ib. 



Proposition, form, quality and quantity of, 194, 208; 

 afiirmative and negative, 214; universal, 215; restric- 

 tive, introduced whenever complete treatment of cor- 

 relatives is allowed, 456 



Propositions, series of Geometrical, 167 — 170; and appli- 

 cation to a well-known Theorem, 171 



Prout, views of, on Secretion, 248 



Quantity of no fundamental account when inclusion and 

 exclusion are opposed to one another and combined 

 with assertion and denial, 195 ; of extension and in- 

 tension, how expressed, 197; attachment to mathe- 

 matical view of, 204 



Rameau, account of, 132 «.; relation of his views on 

 Harmonics to those of Tartini, ib. 



Relation, in logic, defined, 208; onymatic, 190, 209; 

 logic of, 331; convertible and transitive, 353 ; system 

 of primary and secondary, by copula of identification, 

 463 ; and when the copula is any one of the simple 

 onymatic relations, 469 



Relation and Equation, proper meaning of terms, 21 



Republic (Plato), translation of passage in, 305 ; discus- 

 sion of points in same passage, b07 



Resisting Medium, theory of uniform motion of an im- 

 ponderable incompressible fluid through, 33 — 42 



Respiration, Manifestation of current Force during, 

 257, 258 



Ehumb, sailing on a, advantages and disadvantages of, 

 271 



Rhythm, Greek and Latin, Mr Munro on, 383 



Rigid body, meaning of term, 11 w. 



Ritschl on Latin Accent, 382 



RoHKS, J. H., M.A. On the Motion of Beams and thin 

 Elastic Rods, 359 ; the original object of the investi- 

 gation to determine the motion of a vibrating bow, ib.; 

 this problem closely connected with that of the vibra- 

 tion of a Railway Girder under the action of a passing 

 load, investigated by Professor Stokes, ib. ; the latter 

 problem easily solved by the aid of Fourier's Func- 

 tions when the deflection of the girder is very slight 

 and the pressure of the load constant, 360 — 363 ; 

 method of solution indicated when pressure varies, 



63 



