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They found, that similar triangles are to each other in the duplicate ratio of their homologous sides; and, by resolving similar polygons into simila… - Colin MacLaurin
" "They found, that similar triangles are to each other in the duplicate ratio of their homologous sides; and, by resolving similar polygons into similar triangles, the same proposition was extended to these polygons also. But when they came to compare curvilineal figures, that cannot be resolved into rectilineal parts, this method failed.
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About Colin MacLaurin
Colin Maclaurin (February 1698 – 14 June 1746) M'Laurine, or MacLaurin, was a Scottish mathematician who made important contributions to geometry and algebra. He is also known for being a child prodigy and holding the record for being the youngest professor. The Maclaurin series, a special case of the Taylor series, is named after him.
Biography information from Wikiquote
Also Known As
Native Name:
Colin Maclaurin
•
Cailean MacLabhruinn
Alternative Names:
Colin M'laurine
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Additional quotes by Colin MacLaurin
The method of demonstration, which was invented by the author of fluxions, is accurate and elegant; but we propose to begin with one that is somewhat different; which, being less removed from that of the antients, may make the transition to his method more easy to beginners (for whom chiefly this treatise is intended), and may obviate some objections that have been made to it.
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G<small>EOMETRY</small> is valued for its extensive usefulness, but has been most admired for its evidence; mathematical demonstration being such as has been always supposed to put an end to dispute, leaving no place for doubt or cavil. It acquired this character by the great care of the old writers, who admitted no principles but a few self-evident truths, and no demonstrations but such as were accurately deduced from them.
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