INDEX TO VOLUME X. 



Abklaed's Dialectice, 152 

 Abnormities in voluntary Muscles, 240 — 247 

 Accelerations and velocities with respect to moving 

 axes, 1 — 20 



radial, transversal, and azimuthal, expressions 



for, 6 



• tangential and in principal normal, expressions 



for, 7 



Accent, Latin, Mr Munro on laws of, 377 ; RitschI on, 

 382 



Acrostichs, Latin, Mr Munro on, 376 



Jischines, supposed statue of, 233 



iEschylus, Agamemnon, explanation of passages in, 92, 

 93 



Aggregation and composition, distinction of, 192 



Aggregation, postulates and theorems relating to, 292 



Airy, G. B., M.A. On the substitn.tion of methods 

 founded on Ordinary Geometry for Methods based on 

 the General Doctrine of Fropc t ons, in the treatment 

 of some Geometrical Problems, 166 ; Euclid's Doc- 

 trine of Proportion the only one perfectly general, 

 ib. ; but in special cases olten cumbrous from its 

 generality, ib. ; can be avoided when geometrical 

 lines alone are the subject of investigation, ib. ; by 

 a new treatment of a theorem equivalent to Euclid's 

 simple ex asqucdi, ib.; and of doctrine of similar 

 triangles, ib.; series of propositions sufficient for this 

 purpose proved, 167 — 170; their use illustrated by 

 application to a well-known theorem, 171 ; Adden- 

 dum. New Proof by Prof de Morgan of Euclid's 

 Theorem of ex ceqvali in ordine perturbata, 172 



Suggestion of a Proof of the Theorem that every 



Algebraic Equation has a Root, 2SA 



Supplement to a Proof of the Theorem that every 



Algebraic Equation has a Root, 327; objection to 

 Proof (p. 283 et seq.) that it is obtained by the use of 

 imaginary symbols, 327, § 19; the problem divested of 

 the idea of imaginary roots is to shew "that every 

 algebraic expression can be divided without remain- 

 der by ar''-2p cos fl:c+pV' §20; the actual division by 

 this expression effected and the remainder obtained 



in the case of an expression of the 8th degree, § 21, 

 22 ; the condition of evanescence of the remainder 

 leads to two equations of condition, the possibility of 

 satisfying which has been demonstrated in the former 

 Memoir, § 23,24; Cotes' Theorem demonstrated by 

 a method indicated, § 26 ; the method of the Memoir 

 perfectly general, § 27 



Airy's Integral I cos | (wr* - mw) dw, remarks upon, 



105; the differential equation to which it leads dis- 

 cussed, and the values of the arbitrary constants de- 

 termined, 115; its complete integral geometrically 

 illiistrated, 116 



Algebra, a branch of thought in which the process is 

 visible, 179 



Alimentary Canal, manifestation of current force during 

 secretions in, 250 — 252; theoretical remarks on, 251, 

 252 



Ambiguity, terminal, mathematical view, 199 ; meta- 

 physical view, 200 



Ameinocles, inventor of Trireme, 84 



Ampere's Laws of Electromagnetism, 55 



Analogies, physical, 28 



Animal Electricity, remarks on, 248 



Antisthenes, criticised in Thesetetus, 158, 165; his 

 hatred of Plato, 159; criticised in Phiiebus, 160 



Argument, on origin and proper use of word, by Dr 

 Donaldson, 317; etymology of, i6.; classical and tech- 

 nical uses of the word, 319; used in logic to denote 

 the middle term, 321 ; three meanings of, 324; ought 

 not to be used for a process of reasoning, 326 



Aristides, supposed statue of, 231 



Aristotle, his allusions to Plato, 147 ; De Anitna, Pas- 

 sage in, ib. ; reference to Politicus, 148; Politics, pas- 

 sage in, ih. ; method of dichotomy, ib. ; other allu- 

 sions to Plato, 149 ; Posterior Analytics, 162 



Aristotle's system of logic, exemplar, 443 ; misconceived 

 by recent writers, ib. 



Aristophanes, Equites, explanation of passage, 92 



Arithmetical whole, in logic, 190, 194, 209, 212 



' Arnold on Homer,' Munro on, 403 



62—2 



