Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/58

48 of the Increment of the Abcis nor of any Power thereof, another which includes the Expreion of the Increment it elf, and a third including the Expreion of the Powers of the Increment. The geometrical Quantity alo or whole increaed Area conits of three Parts or Members, the firt of which is the given Area, the econd a Rectangle under the Ordinate and the Increment of the Abcis, and the third a curvilinear Space, And, comparing the homologous or correpondent Members on both Sides, we find that as the firt Member of the Expreion is the Expreion of the given Area, o the econd Member of the Expreion will expres the Rectangle or econd Member of the geometrical Quantity; and the third, containing the Powers of the Increment, will expres the curvilinear Space, or third Member of the geometrical Quantity. This hint may, perhaps, be further extended and applied to good purpoe, by thoe who have leiure and curioity for uch Matters. The ue I make of it is to hew, that the Analyis cannot obtain in Augments or Differences, but