RULES FOR THE DIRECTION OF THE MIND DISCOURSE ON THE METHOD MEDITATIONS ON FIRST PHILOSOPHY OBJECTIONS AGAINST THE MEDITATIONS AND REPLIES THE GEOMETRY1952 |
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Page 333
... equation having four roots, namely three true roots, 2, 3, and 4, and one false root, 5. It is evident from the above that the sum of an equation having several roots is always divisible by a binomial consisting of the unknown quantity ...
... equation having four roots, namely three true roots, 2, 3, and 4, and one false root, 5. It is evident from the above that the sum of an equation having several roots is always divisible by a binomial consisting of the unknown quantity ...
Page 336
... equation to whole numbers, and often in rationalizing the terms. Thus, given x3— v/3z2+ffz Q = 0, let there be required another equation in which all the terms are expressed in rational numbers. Lety = x -s/3 and multiply the second ...
... equation to whole numbers, and often in rationalizing the terms. Thus, given x3— v/3z2+ffz Q = 0, let there be required another equation in which all the terms are expressed in rational numbers. Lety = x -s/3 and multiply the second ...
Page 339
... equation into two others, each of the second degree, whose roots will be the same as those of the original equation. Instead of 2 + qx + r = 0, write the two equations and For the ambiguous signs write -\-%p in each new equation, when p ...
... equation into two others, each of the second degree, whose roots will be the same as those of the original equation. Instead of 2 + qx + r = 0, write the two equations and For the ambiguous signs write -\-%p in each new equation, when p ...
Contents
Discourse on the Method | 41 |
Of the Things which may be brought within | 75 |
that He exists | 81 |
Copyright | |
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able absolutely infinite action affect affirm angles argument attribute believe called ceived cerning certainly chiliagon clear and distinct clearly and distinctly conceived conic sections consequently consider contrary corporeal curve deceived Demonst deny Descartes desire determined dioptrics Discourse on Method discover doubt dream easily efficient cause endeavour equal equation error essence everything evil existence explained external body fact faculty false fear finite follows formal cause given greater hatred Hence human body human mind hyperbola idea imagine infinite intellect judge judgment knowledge latus rectum less lines matter means Meditation merely method mode motion myriagon nature necessarily never nevertheless object opinions parabola perceive perfect philosophy possess proposition prove Q.E.D. Corol Q.E.D. PROP Q.E.D. Schol reality reason reply say Prop scholium sense sorrow soul substance syllogism tain term thinking thing thought tion triangle true truth understand unless wish words