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Essay heading: James Gregory
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Biographies |
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May 19, 2008 |
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2 / 490 |
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Hence he inferred that the quadrature of the circle was impossible; this was accepted by Montucla, but it is not conclusive, for it is conceivable that some particular sector might be squared, and this particular sector might be the whole circle. Nevertheless Gregory was effectively among the first to speculate about the existence of what are now termed transcendental numbers... displayed 300 characters
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In addition the first proof of the Fundamental Theorem of Calculus and the discovery of the Taylor Series can both be attributed to him.
This book contains also the expansions in series of sin x, cos x, sin^(-1) x or arc sin x, and cos^(-1) x or arc cos x (The earliest enunciations of these expansions were made by Madhava in India in the 14th century)... displayed next 300 characters
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