Method of exhaustion - Wikipedia, the free encyclopedia
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The method of exhaustion 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 shape. If the sequence is correc...
en.wikipedia.org/wiki/Method_of_exhaustion
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Archimedes's method by S. Brodie ... Notwithstanding the ingenious logic behind these demonstrations, Archimedes apparently considered them only informal ("back of the papyrus" ?) calculations, and preferred to publish these results with more formal double indirect proofs, now referred to as the "method of exhaustion."
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www.cut-the-knot.org/pythagoras/Archimedes.shtml
www.cut-the-knot.org/pythagoras/Archimedes.shtml
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Archimedes' Method of Exhaustion ... Archimedes (and also various other early mathematicians such as Eudoxos) is credited with taking one of the biggest steps forward towards more accurate approximations. He came up with the first theoretical method of approximating pi, all based around regular polygons and circles.
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people.bath.ac.uk/ma3slt/Calculation_of_Pi.html
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Archimedes used the method of exhaustion to find an approximation to the area of a circle. This, of course, is an early example of integration which led to approximate values of π.
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www.gap-system.org/~history/HistTopics/The_rise_of_calc...
www.gap-system.org/~history/HistTopics/The_rise_of_calculus.html
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Method of exhaustion 3; These are axioms for Archimedes, which means that they are assumptions, not to be proven. This is typical for the Greeks, to make an axiom something which seems to difficult to prove, but is nonetheless plausible.
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www.math.ubc.ca/~cass/courses/m446-03/exhaustion.pdf
www.math.ubc.ca/~cass/courses/m446-03/exhaustion.pdf
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Question: I am interested in finding out about the method of exhaustion used by Archimedes to find the area of a sphere. We talked a little about this in my calculus class, but did not have the time to hear about this early version of calculus before it became "discovered".
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www.newton.dep.anl.gov/askasci/math99/math99003.htm
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Author: matthew r johnson I am interested in finding out about the method of exhaustion used by Archimedes to find the area of a sphere. ... Response #: 1 of 1 Author: tee A book available in many libraries, I expect, is The Works of Archimedes with the Method of Archimedes edited by T. L. Heath (Dover Reprint).
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www.newton.dep.anl.gov/newton/askasci/1995/math/MATH015...
www.newton.dep.anl.gov/newton/askasci/1995/math/MATH015.HTM
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archimedes method of exhaustion, perimeter of a circle, method of exhaustion: I am not sure about what is meant by method of Pi ? If you want to know the formula for perimeter of a circle when the radius is knwon,: C=2*Pi*r, ( Here, Pi is the well known mathematical constant which is approximately equal to 3.14 ( or ...
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en.allexperts.com/q/Geometry-2060/Pi-Perimeter.htm
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