INDEX. 
565 
Spermatozoa, capsules containing, in Cordylophora, 375. 
Spermatozoon, on the agency of, in impregnation, in the Amphibia, 233 ; vitality of, 234, 235 ; 
quantity of, necessary for fecundation, 245 ; motion of, 259 ; and penetration of, 266. Nature 
of its influence, 281. 
Spinal chord, on certain functions of, with investigations into its structure, 347. Of the posterior- 
roots of the spinal nerves, 348. Of the anterior roots, 350. On the means by which impres- 
sions received by the chord are transmitted to the brain, 352. 
St. Helena, on the influence of the moon on the magnetic declination at, 555. 
Stokes (Professor G. G., Esq.). On the Change of Refrangibility of Light, No. IL, 385. 
Structure and development of bone, 109. 
Sturm’s theorem, on formula relating to, 457. Further formula connected with, 480. 
Sylvester (J. J., Esq.). On a Theory of the Syzygetic relations of two rational functions, com- 
prising an application of the Theory of Sturm’s Functions, and that of the greatest Algebraical 
Common Measure, 407. 
Sijzijgetic relations of two rational integral functions, on a theory of the, comprising an applica- 
tion to the theory of Sturm’s Functions, and that of the greatest algebraical Common Measure, 
407. Introduction, ibid. Section I. On the complete and simplified residues generated in 
the process of developing under the form of a continued fraction, an ordinary rational alge- 
braical fraction, 415. Section II. On the general solution in terms of the roots of any two 
given algebraical functions of x of the syzygetic equation, which connects them with a third 
function, whose degree in x is given, but whose form is to be determined, 433. Section III. 
On the application of the theorems in the preceding section to the expression in terms of the 
roots of any primitive function of Sturm’s auxiliary functions, and the other functions 
which connect these with the primitive function and its first differential derivative, 456. 
Supplement to Section III. On the quotients resulting from the process of continuous divi- 
sion ordinarily applied to two algebraical functions in order to determine the greatest com- 
mon measure, 467. Section IV. On some further formulas connected with Sturm’s theorem, 
and on the theory of intercalations whereof that theorem may be treated as a corollary, 480. 
Supplement to Section IV. Development of the method of assigning a superior and inferior 
limit to the roots of any algebraical equation, 496. Section V. On the theory of intercalations 
as applicable to two functions of the same degree, and on the formal properties of the Bezou- 
tiant with reference to the method of invariants, 510. General and concluding Supplement, 
535. Glossary of new or unusual terms, &c., 513. Table of Contents, 548. 
T. 
Temperature, periodic and non-periodic variations of, at Toronto, 141. Epochs of the maxima and 
minima at Toronto compared with those at several places on the continent of Europe, 148. 
Temperature, variation of, with height, as observed in balloon ascents, 332. 
Thales, eclipse of, 191. 
Thermal effects of fluids in motion, 357. 
Thomson (Wm., M.A.) and Joule (J. P., Esq.). On the Thermal Effects of Fluids in Motion, 357. 
4 omes (John, Esq.) and Campbell De Morgan, Esq. Observations on the Structure and 
Development of Bone, 109. 
Toronto, on the influence of the moon on the magnetic declination at, 550. 
