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 Lunes of Hippocrates 1: Circle Areas. Level: High School, SAT Prep, College

For any right triangle ACB the sum of the areas of the lunes 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.
See also: Hippocrates 2, Hippocrates 3, Hippocrates 4, Squaring the Circle, Pythagoras and Circle Area, Similar shapes.

 

 
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Last updated: November 25, 2007