The Geometry of Ren Descartes

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Courier Corporation, Sep 19, 2012 - Mathematics - 244 pages
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The great work that founded analytical geometry. Included here is the original French text, Descartes' own diagrams, together with the definitive Smith-Latham translation. "The greatest single step ever made in the progress of the exact sciences." — John Stuart Mill.
 

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Contents

BOOK
2
How the calculations of arithmetic are related to the operations of geometry 297
13
Comment Ëfint geomsmſiqnrmcnl Ia Mnlriplication
29
Wbst curved lines are admitted in geometry
31
DE LA NATURE DES LIGNES
36
Suilcdeſexyliauon de l i queſlion de Papy ruſe au liure preeeeier
57
Srobmon de me quelion quand elle neſt propoſer qu en 3 ou 4 1i3ne
78
General method for finding straight lines which cut given curves and make
95
Comment on penl vſer ds cnffres e n çeametne 2
99
Acele eſHa prawns 6 la plulſîmple de laurel lel lignel unrlm
102
Example of this operation in the case of an elliose and of a parahola of
124
Demnfflmion de ccs preprimz 3 F
126
BOOK III
152
How to determine if any given quantity is a root 373
172
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About the author (2012)

Ren? Descartes, known as the Father of Modern Philosophy and inventor of Cartesian coordinates, was a seventeenth century French philosopher, mathematician, and writer. Descartes made significant contributions to the fields of philosophy and mathematics, and was a proponent of rationalism, believing strongly in fact and deductive reasoning. Working in both French and Latin, he wrote many mathematical and philosophical works including The World, Discourse on a Method, Meditations on First Philosophy, and Passions of the Soul. He is perhaps best known for originating the statement "I think, therefore I am.

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