In geometry, the **lune of Hippocrates**, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle. Equivalently, it is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It is the first curved figure to have its exact area calculated mathematically.

Read more about Lune Of Hippocrates: History, Proof, Generalizations

### Other articles related to "lune of hippocrates, hippocrates, lunes":

**Lune Of Hippocrates**- Generalizations

... As

**Hippocrates**showed using a similar proof to the one above, if two

**lunes**are formed on the two sides of a right triangle, whose outer boundaries are semicircles and whose inner boundaries are ... The quadrature of the

**lune of Hippocrates**is the special case of this result for an isosceles right triangle ... The

**lunes**formed in this way from a right triangle are known as the

**lunes**of Alhazen, named after the 10th and 11th century Arabic and Persian ...

Lune (mathematics) -

... In the 5th century BC,

**Lune of Hippocrates**... In the 5th century BC,

**Hippocrates**of Chios showed that certain**lunes**could be exactly squared by straightedge and compass ... See**Lune of Hippocrates**...Main Site Subjects

Related Phrases

Related Words