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Salinon

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Salinon

The salinon is the figure illustrated above formed from four connected semicircles. The word salinon is Greek for "salt cellar," which the figure resembles. If the radius of the large enclosing circle is R and the radius of the small central circle is r, then the radii of the two small side circles are (R-r)/2.

In his Book of Lemmas, Archimedes proved that the salinon has an area equal to the circle having the line segment joining the top and bottom points as its diameter (Wells 1991), namely

A=1/4pi(r+R)^2.

See also

Arbelos, Lune, Piecewise Circular Curve, Semicircle

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References

Schwartzman, S. The Words of Mathematics: An Etymological Dictionary of Mathematical Terms Used in English. Washington, DC: Math. Assoc. Amer., p. 192, 1994.van Lamoen, F. "Archimedean Adventures." Forum Geom. 6, 77-96, 2006. http://forumgeom.fau.edu/FG2006volume6/FG200609index.html.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, p. 144, 1991.

Cite this as:

Weisstein, Eric W. "Salinon." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Salinon.html

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