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  2. Inscribed angle - Wikipedia

    en.wikipedia.org/wiki/Inscribed_angle

    The inscribed angle θ circle. In geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle. Equivalently, an inscribed angle is defined by two chords of the circle sharing an endpoint.

  3. Inscribed figure - Wikipedia

    en.wikipedia.org/wiki/Inscribed_figure

    Inscribed figure. A tetrahedron (red) inscribed in a cube (yellow) which is, in turn, inscribed in a rhombic triacontahedron (grey). In geometry, an inscribed planar shape or solid is one that is enclosed by and "fits snugly" inside another geometric shape or solid. [1] To say that "figure F is inscribed in figure G" means precisely the same ...

  4. Incircle and excircles - Wikipedia

    en.wikipedia.org/wiki/Incircle_and_excircles

    Incircle and excircles. Incircle and excircles of a triangle. In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. [1] An excircle or escribed circle[2 ...

  5. Cyclic quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Cyclic_quadrilateral

    Cyclic quadrilateral. In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. The center of the circle and its radius are called the circumcenter and the ...

  6. Inscribed square problem - Wikipedia

    en.wikipedia.org/wiki/Inscribed_square_problem

    A special trapezoid is an isosceles trapezoid with three equal sides, each longer than the fourth side, inscribed in the curve with a vertex ordering consistent with the clockwise ordering of the curve itself. Its size is the length of the part of the curve that extends around the three equal sides. Here, this length is measured in the domain ...

  7. From each according to his ability, to each according to his ...

    en.wikipedia.org/wiki/From_each_according_to_his...

    Marxism. " From each according to his ability, to each according to his needs " (German: Jeder nach seinen Fähigkeiten, jedem nach seinen Bedürfnissen) is a slogan popularised by Karl Marx in his 1875 Critique of the Gotha Programme. [1][2] The principle refers to free access to and distribution of goods, capital and services. [3]

  8. Epigraphy - Wikipedia

    en.wikipedia.org/wiki/Epigraphy

    Epigraphy (from Ancient Greek ἐπιγραφή (epigraphḗ) 'inscription') is the study of inscriptions, or epigraphs, as writing; it is the science of identifying graphemes, clarifying their meanings, classifying their uses according to dates and cultural contexts, and drawing conclusions about the writing and the writers.

  9. Inscribed sphere - Wikipedia

    en.wikipedia.org/wiki/Inscribed_sphere

    In geometry, the inscribed sphere or insphere of a convex polyhedron is a sphere that is contained within the polyhedron and tangent to each of the polyhedron's faces. It is the largest sphere that is contained wholly within the polyhedron, and is dual to the dual polyhedron 's circumsphere. The radius of the sphere inscribed in a polyhedron P ...