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  2. Salinon - Wikipedia

    en.wikipedia.org/wiki/Salinon

    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.

  3. Semicircle - Wikipedia

    en.wikipedia.org/wiki/Semicircle

    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).

  4. Lune of Hippocrates - Wikipedia

    en.wikipedia.org/wiki/Lune_of_Hippocrates

    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.

  5. Twin circles - Wikipedia

    en.wikipedia.org/wiki/Twin_circles

    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.

  6. Arbelos - Wikipedia

    en.wikipedia.org/wiki/Arbelos

    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.

  7. Archimedean circle - Wikipedia

    en.wikipedia.org/wiki/Archimedean_circle

    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.

  8. Tympanum (architecture) - Wikipedia

    en.wikipedia.org/wiki/Tympanum_(architecture)

    The image on the right shows many of the features common to Gothic tympanums, retaining the shape and large central figure surrounded by smaller characters. There is much more space given to intricate detail however, manifesting in the archivolts, caryatids , and relief .

  9. Tangent lines to circles - Wikipedia

    en.wikipedia.org/wiki/Tangent_lines_to_circles

    The intersection points T 1 and T 2 of the circle C and the new circle are the tangent points for lines passing through P, by the following argument. The line segments OT 1 and OT 2 are radii of the circle C; since both are inscribed in a semicircle, they are perpendicular to the line segments PT 1 and PT 2, respectively. But only a tangent ...