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  2. Semicircle - Wikipedia

    en.wikipedia.org/wiki/Semicircle

    PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. A semicircle can be used to construct the arithmetic and geometric means of two lengths using straight-edge and compass.

  3. List of mathematical shapes - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_shapes

    Table of Shapes Section Sub-Section Sup-Section Name Algebraic Curves ¿ Curves ¿ Curves: Cubic Plane Curve: Quartic Plane Curve: Rational Curves: Degree 2: Conic Section(s) Unit Circle: Unit Hyperbola: Degree 3: Folium of Descartes: Cissoid of Diocles: Conchoid of de Sluze: Right Strophoid: Semicubical Parabola: Serpentine Curve: Trident ...

  4. List of centroids - Wikipedia

    en.wikipedia.org/wiki/List_of_centroids

    The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.

  5. Spheroid - Wikipedia

    en.wikipedia.org/wiki/Spheroid

    The prolate spheroid is generated by rotation about the z-axis of an ellipse with semi-major axis c and semi-minor axis a; therefore, e may again be identified as the eccentricity. (See ellipse.) [4] These formulas are identical in the sense that the formula for S oblate can be used to calculate the surface area of a prolate spheroid and vice ...

  6. Stadium (geometry) - Wikipedia

    en.wikipedia.org/wiki/Stadium_(geometry)

    A stadium is a two-dimensional geometric shape constructed of a rectangle with semicircles at a pair of opposite sides. [1] The same shape is known also as a pill shape, [2] discorectangle, [3] obround, [4] [5] or sausage body. [6] The shape is based on a stadium, a place used for athletics and horse racing tracks.

  7. Semicircular arch - Wikipedia

    en.wikipedia.org/wiki/Semicircular_arch

    Semicircular arch (Pianella bridge, Corse-du-Sud, 15th century) In architecture, a semicircular arch is an arch with an intrados (inner surface) shaped like a semicircle. [1] [2] This type of arch was adopted and very widely used by the Romans, thus becoming permanently associated with Roman architecture.

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  9. 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.