Page:The Analyst; or, a Discourse Addressed to an Infidel Mathematician.djvu/64

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54
The Analyst.

Man who can diſſect with Art, may, nevertheleſs, be ignorant in your Art of computing Even ſo you may both, notwithſtanding your peculiar Skill in your reſpective Arts, be alike unqualified to decide upon Logic, or Metaphyſics, or Ethics, or Religion. And this would be true, even admitting that you underſtood your own Principles and could demonſtrate them.


XXXIV. If it is ſaid, that Fluxions may be expounded or expreſſed by finite Lines proportional to them: Which finite Lines, as they may be diſtinctly conceived and known and reaſoned upon, ſo they may be ſubſtituted for the Fluxions, and their mutual Relations or Proportions be conſidered as the Proportions of Fluxions: By which means the Doctrine becomes clear and uſeful. I anſwer that if, in order to arrive at theſe finite Lines proportional to the Fluxions, there be certain Steps made uſe of which are obſcure and inconceivable, be thoſe finite Lines themſelves ever ſo clearly conceived, it muſt nevertheleſs be acknowledged, that your

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