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单词 Triangle Squaring
释义

Triangle Squaring

Let be the Altitude of a Triangle and let be its Midpoint. Then


and can be squared by Rectangle Squaring. The general Polygon can be treated by drawingdiagonals, squaring the constituent triangles, and then combining the squares together using the PythagoreanTheorem.

See also Pythagorean Theorem, Rectangle Squaring


References

Dunham, W. ``Hippocrates' Quadrature of the Lune.'' Ch. 1 in Journey Through Genius: The Great Theorems of Mathematics. New York: Wiley, pp. 14-15, 1990.


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更新时间:2025/2/22 21:53:00