Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/52

42 as a Knack, an Art or rather an Artifice, but not a cientific Demontration.

XXVI. The Doctrine premied may be farther illutrated by the following imple and eay Cae, wherein I hall proceed by evanecent Increments. Suppofe AB = x,

BC = y, BD = o, and that xx is equal to the Area ABC: It is propoed to find the Ordinate y or BC. When x by flowing becomes x + o, then xx becomes xx + 2xo + oo: And the Area ABC becomes ADH, and the Increment of xx will be equal to BDHC the Increment of the Area,