Theoretical key the signature this leads to a key whose key signature has an additional sharp. A piece in C that performs this modulation would lead to the theoretical key of G major, requiring eight sharps, meaning an F in place of the F already present. To write that passage with a new key signature would require recasting the new section using the enharmonically equivalent key signature of A major. An example of such recasting is Claude Debussy's "Suite bergamasque": in the third movement "Clair de lune" the key shifts for a few measures from D major to D minor (eight flats),
Lune of Hippocrates give the only constructible squarable lunes; in particular, there are no constructible squarable convex lunes. Lune of Hippocrates 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. Hippocrates wanted to solve the classic problem of squaring the circle, i.e. constructing