polygon inscribed in a circle, ellipse, or polygon (or a polyhedron inscribed in a sphere, ellipsoid, or polyhedron) has each vertex on the outer figure; if...

an arbitrary set of points, not necessarily passing through them. Inscribed figure This article includes a list of related items that share the same name...

{5}}}}\simeq 7.694208843\,a^{2}} In terms of the apothem r (see also inscribed figure), the area is: A = 10 tan ⁡ ( π 10 ) r 2 = 2 r 2 5 ( 5 − 2 5 ) ≃ 3...

19615242\,a^{2}\end{aligned}}} And in terms of the apothem r (see also inscribed figure), the area is: A = 12 tan ⁡ ( π 12 ) r 2 = 12 ( 2 − 3 ) r 2 ≃ 3.2153903...

{2}}R^{2}\approx 2.828\,R^{2}.} In terms of the apothem r (see also inscribed figure), the area is A = 8 tan ⁡ π 8 r 2 = 8 ( 2 − 1 ) r 2 ≈ 3.314 r 2 . {\displaystyle...

triangle is the ellipse inscribed within the triangle tangent to its sides at the contact points of its excircles. For any ellipse inscribed in a triangle A B...

by being inscribed with the name of the deceased, his titles, and often with spell 472 of the Coffin Texts or the speech of the ushabti figure found in...

historical process of drawing a square with the same area as a given plane figure or computing the numerical value of that area. A classical example is the...

Buddhism, by Yintuoluo and inscribed by Chushi Fanqi. Circa 1350. Hanging scroll showing Hotei, by Mokuan Reien and inscribed by Liao'an Qingyu. 14th century...

square can be inscribed inside any regular polygon. The only other polygon with this property is the equilateral triangle. If the inscribed circle of a...

circumference of a circle may be defined as the limit of the perimeters of inscribed regular polygons as the number of sides increases without bound. The term...

Red-figure pottery is a style of ancient Greek pottery in which the background of the pottery is painted black while the figures and details are left in...

depicts 74 men of Frederick the Great's time in life-size; some, such as the figure of his brother August, are free-standing; others are depicted in high relief...

and an inscribed angle of a circle are subtended by the same chord and on the same side of the chord, then the central angle is twice the inscribed angle...

represents a reclining female figure in abstract form in bronze. It is sited on a plinth. It is inscribed "The Hampstead Figure, 1964" and signed by McWilliam...

Enceladus, fighting Athena, is attested in art as early as an Attic black-figure pot dating from the second quarter of the sixth century BC (Louvre E732)...

rhombus. A rhombus is a tangential quadrilateral. That is, it has an inscribed circle that is tangent to all four sides. The length of the diagonals...

for the thrice yearly showing at each village in turn the laws of Minos inscribed on brass tablets. Talos had one vein, which went from his neck to his...

1923, vol 3, p. 52, 88) inscribed 1.  Having vertices on a curve, as in inscribed figure. 2.  Tangent to some lines, as in inscribed circle. integral An integral...

it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed...

the gods and goddesses were inscribed on the upper molding of the frieze, with the exception of Gaia whose name was inscribed on the background next to...

the figure is reversed, perversion and evil will be the result." Man inscribed in a pentagram, from Heinrich Cornelius Agrippa's De occulta philosophia...

In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is...

inscribed with verses from Quran or names of Allah and of prophets. They may also carry images of holy sites or astrological symbols. The inscribed names...

a gold chain that had a 22-carat pendant with verse 225 of the Koran inscribed in Arabic across it, and thought to have been Mediterranean, Middle Eastern...

tetrahedra can be inscribed in a cube, and five cubes can be inscribed in a dodecahedron, ten tetrahedra in five cubes can be inscribed in a dodecahedron:...

Museum replica of a bronze discus inscribed as a votive offering to Zeus by Asklepiades of Corinth, winner of the pentathlon in the 255th Olympiad (Glyptothek...

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...

straight line is ⁠4/3⁠ times the area of a corresponding inscribed triangle as shown in the figure at right. He expressed the solution to the problem as...

convex 4-polytope, it contains inscribed instances of its four predecessors (recursively). It also contains 120 inscribed instances of the first in the...