The statement of the problem used the method of exhaustion.
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Euclid used the method of exhaustion rather than infinitesimals.
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The method of exhaustion is seen as a precursor to the methods of calculus.
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In his formal published treatises, Archimedes solved the same problem using the method of exhaustion.
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:Method of exhaustion may be seen as a form of calculus available 2 millenia early.
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Using the method of exhaustion, it follows that the total area of the parabolic segment is given by
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The method of exhaustion typically required a form of proof by contradiction, known as " reductio ad absurdum ".
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The ancient Greeks used various precursor techniques such as Archimedes's mechanical arguments or method of exhaustion to compute these volumes.
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I was reading Method of exhaustion, and I wanted to try out Archimedes'method for calculating pi with a limit.
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Leucippus, Democritus, Eudoxus and Archimedes developed the method of exhaustion, which uses an infinite sequence of approximations to determine an area or a volume.
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