INDEX 



299 



Ultimate ratios, 6, 7, 9, io, 19, 22- 

 24, 35, 68, 70, 78, 86, 98, 99, 

 103, 115, 153, 158-161, 168, 

 191, 219, 223, 242. 



Ultimate velocity, 7, io; see 

 Velocity. 



Ultimato! s, doctrine of. 225. 



Valerius, Lucas, 99. 



Varignon, P. , 293. 



Velocity, II, 13-18, 21, 28-30, 32, 

 33, 36, 43-45, 49, 50, 58, 62, 

 63, 66, 70, 71, 74, 76-80, 83, 

 85. 87, 88, 93, 106, 112, 123, 

 151, 152, 158, 163, 164, 166, 

 169-171, 173, 175, 184, 185, 

 193-197, I99> 200, 201, 207, 

 209, 212, 214, 215, 217, 219, 

 220, 231, 235, 244, 246, 252, 

 261, 263, 270, 277, 280 ; velo- 

 city, ultimate, 6, 9, 36 ; velo- 

 city criticised as a fundamental 

 concept, 255, 264, 280-282. 



Vince, S., 245-247, 277, 



Vivanti, G., 235. 



Wallis, John, 41, 100, 292 ; Wallis's 

 Algebra, 14, 30, 32, 33, 39. 



Walton, John, 57, 69, 77, 85, 86, 

 91-96, 148, 185, 199; his first 

 reply to Berkeley, 69-72 ; his 

 second reply, 78-80 ; second 

 edition of second reply, 87. 



Warburton, Bishop William, ']'},. 



Waring, E., 259. 



Weierstrass, K.. 288. 



Weissenborn, H., 92. 



West, William, 202. 



Whately, 90. 



Whiston, William, 197. 



Wildbore, 280. 



Wilson, James, 96, 99, 189, 202- 

 206, 



Witting, A., 30. 



Wood, James, 245, 



Woodhouse, R., 93, 263-267, 274, 

 280. 



Works of the Learned, 135-137, 

 171. 



Zeno (of Elea), 90, 119, 125, 217. 



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