June 26, 2019
Drawing the Lune of Hippocrates
1. Draw a right-angled isosceles triangle AOB.
2. With center O, plot an arc between points AB.
3. At Point M, which is the midpoint of the hypotenuse in triangle AOB, draw another arc between points AB.
The outside, in green, is the lune of Hippocrates.
Area of the Lune
Area of the lune = area of the semicircle − area of circular segment.
Area of the lune = area of the semicircle − (area sector − area of triangle)