HAM] 



150 



[HAM 



Hamilton, (Sir) William R. 9. On the appli- 

 cation to Dynamics of a general mathematical 

 method previously applied to Optics. Brit. 

 Assoc. Rep. 1834, pp. 513-518. 



10. On a general method in Dynamics, by 



which the study of the motions of all free sys- 

 tems of attracting or repelling points is reduced 

 to the search and differentiation of one central 

 relation or characteristic function. Phil. Trans. 

 1834, pp. 247-308; Quetelet, Corresp. Math. 

 VIIL, 1834, pp. 69-89, 200-211.^ 



11. Remarques sur un memoirs de M. 



PLANA, torn. VII. [sur les rayons refractes]. 

 Quetelet, Corresp. Math. VIII., 1834, pp. 27-30. 



12. Second Essay on a general method in 



Dynamics. Phil. Trans. 1835, pp. 95-144. 



13. Inquiry into the validity of a method 



recently proposed by G. B. JERRARD, Esq., for 

 transforming and resolving equations of elevated 

 degrees. Brit. Assoc. Rep. 1836, pp. 295-348. 



14. Calculus of principal relations. Brit. 



Assoc. Rep. 1836 (pt. 2), pp. 41-44. 

 15. Theorem connected with the question 



of resolving in finite terms the equation of the 



fifth degree. Phil. Mag. VIIL, 1836, pp. 538- 



543 ; IX., 1836, pp. 28-32. 



16. On differences and differentials of 



functions of Zero. [1831.] Irish Acad. Trans. 

 XVII., 1837, pp. 235-236; Quetelet, Corresp. 

 Math. VIIL, 1834, pp. 235-237. 



- 17. Theory of Conjugate Functions, or 

 Algebraic Couples, with a preliminary and ele- 

 mentary essay on Algebra as the science of pure 

 time. [1835.] Irish Acad. Trans. XVII., 1837, 

 pp. 293-422. 



18. On the propagation of Light in vacuo. 



Brit. Assoc. Rep. 1838 (pt. 2), pp. 2-6. 



19. On the propagation of Light in crys- 

 tals. Brit. Assoc. Rep. 1838 (pt. 2), p. 6. 



2O. On the argument of ABEL, respecting 

 the impossibility of expressing a root of any 

 general equation above the fourth degree, by 



. any finite combination of radicals and rational 

 functions. [1837.] Irish Acad. Trans. XVILL, 

 1838, pp. 171-259. 



21. Investigations respecting Equations of 



the Fifth degree. Irish Acad. Proc. L, 1841, 

 pp. 76-81. 



22. On the Dynamics of Light. Irish 



Acad. Proc. L, 1841, pp. 245, 267-270. 



- 23. Notice of a singular appearance of the 

 clouds observed on the 16th December 1838. 

 Irish Acad. Proc. L, 1841, pp. 249-252. 



24. Researches respecting Vibration, con- 

 nected with the theory of Light. Irish Acad. 

 Proc. L, 1841, pp. 341-349. 



25. On fluctuating functions. Irish Acad. 

 Proc. L, 1841, pp. 475-477 ; Irish Acad, 

 Trans. XIX., 1843, pp. 264-321. 



Hamilton, (Sir) William JK. 26. On a mode of 

 deducing the equation of FRESNEL'S wave. Phil. 

 Mag. XIX., 1841, pp. 381-383. 



27. On the focal lengths and aberrations 



of a thin lens of uniaxal crystal, bounded by 

 surfaces which are of revolution about its axis. 

 Phil. Mag. XIX., 1841, pp. 289-294. 



28. On certain discontinuous integrals con- 

 nected with the developement of the radical 

 which represents the reciprocal of the distance 

 between two points. Phil. Mag. XX., 1842, pp. 

 288-294. 



29. On a theorem in the calculus of Differ- 

 ences. Brit. Assoc. Rep. 1843 (pt. 2), pp. 

 2-3. 



3O. On some investigations connected with 



the calculus of Probabilities. Brit. Assoc. Rep. 

 1843 (pt. 2), pp. 3-4. 



31. On Equations of the Fifth Degree; 

 and especially on a certain system of expressions 

 connected with those equations, which Professor 

 BADANO has lately proposed. [1842.] Irish 

 Acad. Trans. XIX., 1843, pp. 329-376. 



32. On an expression for the numbers of 



BERNOULLI by means of a definite Integral. 

 Phil. Mag. XXIIL, 1843, pp. 360-367. 



33. On the Composition of Forces. Irish 



Acad. Proc. II., 1844, pp. 166-170. 



- 34. On the day of the Vernal Equinox at 

 the time of the Council of Nice. Irish Acad. 

 Proc. II., 1844, pp. 249-250. 



35. On Dr. ROBINSON'S table of Mean Re- 

 fractions. Irish Acad. Proc. II., 1844, pp. 400- 

 403. 



36. On the calculus of Probabilities. Irish 



Acad. Proc. II., 1844, pp. 420-422. 



37. On Quaternions. Phil. Mag. XXV., 



1844, pp. 10-13, 241-246, 489-495 ; XXVL, 



1845, pp. 220-224 ; XXIX., 1846, pp. 26-31, 

 113-122, 326-328 ; XXX., 1847, pp. 458-461 ; 

 XXXI., 1847, pp. 214-219, 278-293, 511-519 ; 

 XXXIL, 1848, pp. 367-374; XXXHL, 1848, 

 pp. 58-60 ; XXXIV., 1849, pp. 294-297, 340- 

 343, 425-439 ; XXXV., 1849, pp. 133-137, 

 200-204 ; XXXVL, 1850, pp. 305-306 ; Brit. 

 Assoc. Rep. 1844 (pt. 2), p. 2 ; Camb. and Dubl. 

 Math. Journ. IV., 1849, pp. 161-168 ; Irish 

 Acad. Trans. XXL, 1848, pp. 199-296; Nouv. 

 Ann. Math. XII., 1853, pp. 275-283. 



38. On symbolical Geometry. Camb. and 



Dubl. Math. Journ. L, 1846, pp. 45-57, 137- 

 154, 256-263 ; II., 1847, pp. 47-52, 130-133, 

 204-209 ; III., 1848, pp. 68-84, 220-225 ; IV., 

 1849, pp. 84-89, 105-118. 



39. Illustrations from Geometry of the 

 theory of algebraic Quaternions. Irish Acad. 

 Proc. HI., 1847, pp. 31-49. 



40. On theorems of Central Forces. Irish 



Acad. Proc. III., 1847, pp. 308-309. 



