Salinon (Paperback)

High Quality Content by WIKIPEDIA articles! The salinon (meaning "salt-cellar" in Greek) is a geometrical figure that consists of four semicircles. It was first introduced by Archimedes in his Book of Lemmas. Let O be the origin on a Cartesian plane. Let A, D, E, and B be four points on a line, in that order, with O bisecting line AB. Let AD = EB. Semicircles are drawn above line AB with diameters AB, AD, and EB, and another semicircle is drawn below with diameter DE. A salinon is the figure bounded by these four semicircles. Archimedes introduced the salinon in his Book of Lemmas by applying Book II, Proposition 10 of Euclid's Elements. In Archimedes' book, he noted that "the area of the figure bounded by the circumferences of all the semicircles [is] equal to the area of the circle on CF as diameter.