The Philosophy of Mathematics: With Special Reference to the Elements of Geometry and the Infinitesimal Method |
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abscissa abstract number absurd algebra Analytical Geometry angle approach arca Archimedes axiom base cach Cavalieri circle circumference circumscribed circumscribed circles clear co-ordinates coincide cone curve curvilinear figure curvilinear space D'Alembert definition demonstration Descartes determinate difference differential calculus Duhamel elements of geometry equation error exactly equal expression false finite frustum Hence hypothesis indefinitely indeterminate infinite number infinitely small quantities infinitesimal analysis infinitesimal method infinity inscribed lemma logical magnitudes mathematicians mathematics method of exhaustion method of indivisibles method of Leibnitz method of limits mind Newton number of sides objection ordinate parabola parallelograms Pascal perfectly Philosophy of Mathematics polygon precisely principle pyramid question radius reason rectangles rectilinear reductio ad absurdum regular polygon represent result right lines says Carnot Scholium subtangent supposed supposition surface symbol tangent line term theorems thing tion triangle true truth ultimate ratios ultimately equal variable volume zero