
Quadrilaterals
Quadrilaterals include the square, rectangle, trapezium, trapezoid, rhombus, kite and parallelogram. Quadrilaterals can be concave, convex, cyclic, tangential, extangential, orthodiagonal, equidiagonal or bicentric. Most of these properties are obscure, but a similarly exhaustive list of triangle properties would fill many pages. When in doubt on a quadrilateral, add a diagonal to make two triangles.
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Euclid Book 1 Proposition 33
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Euclid Book 1 Proposition 34
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Euclid Book 1 Proposition 35
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Euclid Book 1 Proposition 36
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Euclid Book 1 Proposition 43
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Euclid Book 1 Proposition 46
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Euclid Book 3 Proposition 22
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Euclid Book 6 Proposition 1b
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Euclid Book 6 Proposition 14a
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Euclid Book 6 Proposition 14b
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Euclid Book 6 Proposition 23
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Euclid Book 6 Proposition 24
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Euclid Book 6 Proposition 26