Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/79

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The Analyst.
69

the laſt, may be perhaps ſharpſighted enough to conceive theſe things. But moſt Men will, I believe, find it impoſſible to underſtand them in any ſenſe whatever.


XLV. One would think that Men could not ſpeak too exactly on ſo nice a Subject. And yet, as was before hinted, we may often obſerve that the Exponents of Fluxions or Notes repreſenting Fluxions are confounded with the Fluxions themſelves. Is not this the Caſe, when juſt after the Fluxions of flowing Quantities were ſaid to be the Celerities of their increaſing, and the ſecond Fluxions to be the mutations of the firſt Fluxions or Celerities, we are told that [1] repreſents a Series of Quantities, whereof each ſubſequent Quantity is the Fluxion of the preceding; and each foregoing is a fluent Quantity having the following one for its Fluxion?


XLVI. Divers Series of Quantities and Expreſſions, Geometrical and Algebraical,

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  1. De Quadratura Curvarum.