198 LIMITS AND FLUXIONS 



and the Fluxion above defined may be taken for 

 one another, i.e. the Ouantity x for so small a 

 Time, may be looked upon as flowìng uniformly " 

 (p. 2). Later we read (p. 4) that if the times are 

 infinitely small, the quantity z>i- will be "infinitely 

 less " than vx or xi). Here the fluxions x, v,i\ are 

 looked upon as mfinitely small. 



In the account of the life of Nicholas Saunderson, 

 printed in the first volume of his Elements of Algebra ^ 

 Cambridge, 17^0, p. xv, we read: " Our Professor 

 would not be induced by the Desires and Expecta- 

 tions of any, to engagé in the war that was lately 

 waged among Mathematicians, vvith no small Degree 

 of Heat, concerning the Algorithm or Principles of 

 Fluxiotis. Yet he wanted not the greatest Respect 

 for the Memory of Sir Isaac Newton, and thought 

 the whole Doctrine entirely defensible by the strictest 

 Rules of geometry. He owned indeed that the 

 great Inventor, never expecting to bave it canvassed 

 with so much trifling Subtility and Cavil, had not 

 thought it necessary to be guarded every where by 

 Expressions so cautious as he might bave otherwise 

 used." 



folm Rowning, 1756 



1 74. A graduate of Magdalene College, Cambridge, 

 and a Fellow there,Rowning interested himself chiefly 

 in naturai philosophy, but wrote also A Prelinmiary 

 Discoiirse^ on fluxions, with the intention of writing 



^ A Pieliminary Discotirse to an ititended Treatise on the Fluxiouary 

 Method. Hy John Rowning, M.A. London, 1756. 



