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Draw semicircles above line AB with diameters AB, AD, and EB, and another semicircle below with diameter DE. A salinon is the figure bounded by these four semicircles. A salinon is the figure bounded by these four semicircles.
In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle.It is a circular arc that measures 180° (equivalently, π radians, or a half-turn).
If and are the radii of the small semicircles of the arbelos, the radius of an Archimedean circle is equal to = + This radius is thus = +.. The Archimedean circle with center (as in the figure at right) is tangent to the tangents from the centers of the small semicircles to the other small semicircle.
The twin circles (red) of an arbelos (grey) In geometry, the twin circles are two special circles associated with an arbelos.An arbelos is determined by three collinear points A, B, and C, and is the curvilinear triangular region between the three semicircles that have AB, BC, and AC as their diameters.
An arbelos (grey region) Arbelos sculpture in Kaatsheuvel, Netherlands In geometry, an arbelos is a plane region bounded by three semicircles with three apexes such that each corner of each semicircle is shared with one of the others (connected), all on the same side of a straight line (the baseline) that contains their diameters.
The lune of Hippocrates is the upper left shaded area. It has the same area as the lower right shaded triangle. 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.
In the Golden sun of La Tolita, the ears are two concentric semicircles from which three lines are born that presumably represent earrings. There is a hole in the center of the semicircles that presumably would serve to attach it to its mounting. [1] Detailed view of the sun rays of the Golden sun of Konanz.
A circle C 1 is then formed tangent to each of the three semicircles, as an instance of the problem of Apollonius. Another circle C 2 is then created, through three points: the two points of tangency of C 1 with the smaller two semicircles, and the point where the two smaller semicircles are tangent to each other. C 2 is the Bankoff circle.