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  2. Archimedes used the method of exhaustion as a way to compute the area inside a circle by filling the circle with a sequence of polygons with an increasing number of sides and a corresponding increase in area.
    en.wikipedia.org/wiki/Method_of_exhaustion
    The method of exhaustion was an integral-like limiting process used by Archimedes to compute the area and volume of two-dimensional lamina and three-dimensional solids.
    mathworld.wolfram.com/MethodofExhaustion.html
     
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    Method of exhaustion - Wikipedia

    Archimedes used the method of exhaustion as a way to compute the area inside a circle by filling the circle with a sequence of polygons with an increasing number of sides and a corresponding increase in area. See more

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    The method of exhaustion (Latin: methodus exhaustionis) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing See more

    The idea originated in the late 5th century BC with Antiphon, although it is not entirely clear how well he understood it. The theory was made rigorous a few decades later by See more

     
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  5. The Method of Exhaustion: Tracing Ancient Paths to Precise Limits

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