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Lune of Hippocrates 1 & Lunes of Alhazen: Circle Areas and Right Triangle

For any right triangle ACB, the sum of the areas of the lunes on sides BC and AC is equal to the area of the triangle. A lune is a plane figure bounded by two circular arcs of unequal radii.

Lune of Hippocrates Geometry Diagram
Lune of Hippocrates,
Alhazen's Lunes join the fray,
Triangle's measure.

See also: Geometric Art of Lunes of Hippocrates 1