Archimedes' Midpoint Theorem

Let be the midpoint of the arc . Pick at random and pick such that (where denotes perpendicular). Then

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References

Honsberger, R. More Mathematical Morsels. Washington, DC: Math. Assoc. Amer., pp. 31-32, 1991.Honsberger, R. Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., pp. 1-2, 1995.

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Archimedes' Midpoint Theorem

Cite this as:

Weisstein, Eric W. "Archimedes' Midpoint Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ArchimedesMidpointTheorem.html

Archimedes' Midpoint Theorem

See also

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References

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