Tangential polygon information

In Euclidean geometry, a tangential polygon, also known as a circumscribed polygon, is a convex polygon that contains an inscribed circle (also called...

are no longer sufficient to determine the shape of the pentagon. A tangential polygon (one that has an incircle tangent to all its sides) is equilateral...

quadrilaterals, and circumscriptible quadrilaterals. Tangential quadrilaterals are a special case of tangential polygons. Other less frequently used names for this...

approximation of convex polygons Tangential polygon – Convex polygon that contains an inscribed circle Definition and properties of convex polygons with interactive...

A tangential polygon is a polygon each of whose sides is tangent to a particular circle, called its incircle. Every triangle is a tangential polygon, as...

square is equable. A tangential polygon is a polygon in which the sides are all tangent to a common circle. Every tangential polygon may be triangulated...

to every side at the midpoint. Thus a regular polygon is a tangential polygon. A regular n-sided polygon can be constructed with compass and straightedge...

the dual (a tangential polygon), and shorter sides to smaller angles.[citation needed] Further, congruent sides in the original polygon yields congruent...

sums of the previous n-gon. A tangential polygon is one having an inscribed circle tangent to each side of the polygon; these tangency points are thus...

each side of the polygon. Every regular polygon and every triangle is a tangential polygon. A cyclic polygon is any convex polygon about which a circle...

symmetry orbit. The polygon is also equilateral and tangential. The property of regularity may be defined in other ways: a polygon is regular if and only...

case the polygon is said to be a tangential polygon. A polygon inscribed in a circle is said to be a cyclic polygon, and the circle is said to be its...

cyclic polygons: the circumcentre is equidistant from each of the vertices. Likewise, the incentre of a triangle or any other tangential polygon is equidistant...

In geometry, a bicentric polygon is a tangential polygon (a polygon all of whose sides are tangent to an inner incircle) which is also cyclic — that is...

centers form an orthocentric system. but not all polygons do; those that do are tangential polygons. See also tangent lines to circles. Suppose △ A B...

In fact, every regular polygon is a circumgonal region, as is more generally every tangential polygon. But not every polygon is a circumgonal region:...

reference triangle is the Gergonne triangle of the tangential triangle. Tangential quadrilateral Tangential polygon Altshiller-Court, Nathan. College Geometry...

center (geometry) Salinon Semicircle Squircle Steiner chain Tangential polygon Tangential quadrilateral Roulettes Centered trochoid Epitrochoid Epicycloid...

group of triangle centers. For polygons with more than three sides, the incenter only exists for tangential polygons - those that have an incircle that...

perpendicular line through the centroid of an arbitrary polygon or the incenter of a tangential polygon, depending on the source. Likewise, a right bipyramid...

and s is the semiperimeter (in fact, this formula holds for all tangential polygons), and: Lemma 2  T = r a ( s − a ) = r b ( s − b ) = r c ( s − c )...

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

differentiable paths with nowhere vanishing derivatives), and is the degree of the tangential Gauss map. This is called the turning number, rotation number, rotation...

every face must have an inscribed circle (that is, it must be a tangential polygon), and all of these inscribed circles must belong to a single sphere...

: p.125  In a tangential quadrilateral, the four angle bisectors concur at the center of the incircle. Other concurrencies of a tangential quadrilateral...

11-cell 57-cell Convex polygon Concave polygon Constructible polygon Cyclic polygon Equiangular polygon Equilateral polygon Regular polygon Penrose tile Polyform...