Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/67

Rh to conceive eems quite impoible. Yet ome there are, who, though they hrink at all other Myteries, make no difficulty of their own, who train at a Gnat and wallow a Camel.

XXXV. I know not whether it be worth while to oberve, that poibly ome Men may hope to operate by Symbols and Suppoitions, in uch ort as to avoid the ue of Fluxions, Momentums, and Infiniteimals after the following manner. Suppoe x to be one Abcis of a Curve, and z another Abcis of the ame Curve. Suppoe alo that the repective Areas are xxx and zzz: and that z — x is the Increment of the Abcis, and zzz — xxx the Increment of the Area, without conidering how great, or how mall thoe Increments may be. Divide now zzz — xxx by z - x and the Quotient will be zz + zx + xx: and, uppoing that z and x are equal, this ame Quotient will be 3xx which in that cae is the Ordinate, which therefore may be thus obtained independently of Fluxions and Infiniteimals. But herein is a direct Fallacy: for in