296 



LIMITS AND FLUXIONS 



Herschel, J. F. W., 271, 274. 

 Hobhes, Thomas, 163. 

 Hodgson, James, 155-157. 

 Holliday, F., 243, 244. 

 Hospital, De 1', 41, 50, 51, 53, 54, 



66, 84, 169, 248. 

 Hutton, Charles, 210, 244, 245. 



Imaginary quantities, 154. 



Imagination, straining of, 120-123, 

 125, 147, 154, 195. 214, 217. 



Incommensurables, 7, io. 



Indivisihles, method of, 5, 7, 8, 

 24, 29, 100, 106, 114, 116, 

 117, 127, 128, 132, 133, 139, 



150. 152, 154, 183, 204, 205, 

 243- 



Infinite divisibility, 5, 7, io, 61, 89, 



153, 193. 



Infinite series, method of, 20, 24, 

 164, 221. 



Infinitely little quantities, 15-17, 

 20, 21, 24, 26-28, Tp-Z^, 39, 

 40-43, 45, 47, 48, 50, 51, 53, 

 54, 56, 58, 61, 76-78, 80, 86, 

 94, 114. 117, 118, 123, 132, 

 133. 137, 147, 150-156, 162, 

 168, 169, 174, 182, 183, 196, 

 197, 199-202, 220, 243, 248, 

 258, 261, 277, 290-291 ; avoid- 

 ing their use, 142, 162, 169, 

 171, 183, 184, 186, 189, 275 ; 

 see Infinitesimals. 



Infinitesimals, 29, 32, 35, 36, 46, 

 50, 56, 58, 59, 72, 74-76, 83, 

 89, 94, I II, 1 14, 1 18, 147, 182, 

 184, 201, 206. 207, 241, 250, 

 263, 275, 277-279- 



Infinity, 162, 221, 249; absolute, 



151, 163, 292; relative, 151, 

 162, 163, 183, 184, 290. 



Irrational numbers, 2S4, 286-288. 



Jack, Richard, 222, 223. 



Jones, William, 17, 43, 243. 



Jourdain, Philip E. B.. 29, 263, 

 274, 284. 



Jurm, James, 57, 64, 72, 91, 93, 

 139, 140. 189, 190, 199, 203, 

 205, 206, 254, 272 ; Jurin's 

 first reply to Herkeley, 64-69 ; 



second reply, 80-85 5 contro- 

 versy with Robins, 96-148, 179; 

 controversy with Pemberton, 

 129-138 ; explains history of 

 controversy with Robins, 145- 

 146. 

 Juvenal, 168. 



Keill, John, 31, 48. 

 Kelland, Philip, 189. 

 Kirkby, John, 225-230. 

 Klopstock, 188. 

 Kowalewski, G., 17. 



Lacroix, S. F., 255, 260-262, 268- 



275, 279- 



Ladies' Diary, 207, 209, 210, 212, 

 219, 221, 222, 229. 



Ladys Philosopher, 219. 



Lagrange, J. L., 94, 181, 239, 255, 

 259, 266, 270-272, 274, 278 ; 

 his Fonctions analytiqiies, 255, 

 259, 263, 266, 272. 



Landen, J., 215, 222, 231-235, 239, 

 257, 258, 261, 262, 266, 270, 

 273, 280. 



Laplace, P. S., 268, 278. 



Last ratio ; see Ultimate ratio. 



Lee, Sidney, 181, 263. 



Legendre, A. M., 268, 278, 



Leibniz, G. W., i, 28, 32, 33, 37, 

 38, 41, 47-49, 52, 53, 55, 94, 

 106, 112-114, 118, 175, 176, 

 199, 248, 254, 262, 274; Dififer- 

 ential method of, see Difieren- 

 tial calculus. 



Leibnizian notation, 32, ^"j, 38, 48, 

 49, 53, 54, 139, 254, 274, 278, 

 289, 291-293. 



Leslie, John, 273. 



L'Huilier (Lhuilier), S. A. J,, 269. 



Limit, I, 3-5, 7-10, 25, 33, 35, 36, 

 62, 70, 75-78, 83, 89, 92, 93, 

 97, 99, 10^, I04' ^^6, 116, 119, 

 129, 146, 147, 183, 185, 189, 

 191, 218, 220, 238, 241, 242, 

 247, 250, 251, 254, 255, 258, 

 259, 263, 265-269, 271, 272, 

 275, 276, 279, 282, 286-288 ; 

 limit not reached, 97, 102, 107, 

 nò, 119, 131, 147, 186, 189, 



