Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/46

36 which themelves are not accurate, it being a rule in Logic that Concluio equitur partem debiliorem. Therefore I oberve in the third place, that when the Concluion is evident and the Premies obcure, or the Concluion accurate and the Premies inaccurate, we may afely pronounce that uch Concluion is neither evident nor accurate, in virtue of thoe obcure inaccurate Premies or Principles; but in virtue of ome other Principles which perhaps the Demontrator himelf never knew or thought of. I oberve in the lat place, that in cae the Differences are uppoed finite Quantities ever o great, the Concluion will nevertheles come out the ame: inamuch as the rejected Quantities are legitimately thrown out, not for their mallnes, but for another reaon, to wit, becaue of contrary errors, which detroying each other do upon the whole caue that nothing is really, though omething is apparently thrown out. And this Reaon holds equally, with repect to Quantities finite as well as infiniteimal, great as well as mall, a Foot or a Yard long as well as the minutet Increment. XXIV. For