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.
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