ADDENDA 293 



represented by the Ordinates of the logarithmic 

 Curve," continued from j/=— 00 away from the 

 origin when dx'' is affirmative, or towards the origin 

 when </y' ìs negative. In the " Additions," p. 185, 

 Craig devotes six pages to " An Answer to Mr. 

 Varignon's Reflections upon Spaces greater than 

 infinite," in which Craig uses the Leibnizian symbol 



r five times, as in /*: x-'dx = . Nowhere in the 



'^ '^ i-e 



hook under consideration does Craig use the nota- 



tion of Newton. The " Additions " are dated 



" September 23d, 1713." 



248. George Cheyne was a pupil of the Scotch 



physician, Archibald Fitcairne (1652-17 13), who is 



the author of two books on fluxions (which we bave 



not seen), viz. Fluxionuni Methodus inversa ; Sive 



Quantitatum Fluentiuin Leges generaliores. Ad 



celebeì'rimum viruni, Archibaldum Pitcarniuni^ 



MedicumEdinburgensem\ and Rudimentoruin M ethodi 



Fluxionuni inversce Spechnina adverstis Abr. de 



Moivre. Pitcairne's mathematica! bent more or 



less influenced bis medicai theories. He liked to 



ridicule others, and was himself ridiculed in a publica- 



tion, Apollo Mathemaiicus ; or, the Art of cu ring 



Diseases by the Mathematicks, accordi ng to the 



Principles of Dr. Pitcairne, 1695. 



