cocyclic) if they lie on a common circle. A polygon whose vertices are concyclic is called a cyclic polygon, and the circle is called its circumscribing...

Constructible polygon Cyclic polygon Geometric shape Golygon List of polygons Polyform Polygon soup Polygon triangulation Precision polygon Spirolateral...

case n = 4, a cyclic quadrilateral. All rectangles, isosceles trapezoids, right kites, and regular polygons are cyclic, but not every polygon is. The circumcenter...

Cyclic polygon, a general polygon that can be circumscribed by a circle. The vertices of this polygon are concyclic points. All triangles are cyclic polygons...

incircle, called the incentre, can be considered a centre of the polygon. A cyclic polygon has each of its vertices on a particular circle, called the circumcircle...

the Japanese theorem states that no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant.: p. 193  Conversely, if...

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

Concave polygon Constructible polygon Convex polygon Cyclic polygon Equiangular polygon Equilateral polygon Penrose tile Polyform Regular polygon Simple...

Concave polygon – Simple polygon which is not convex Convex polytope – Convex hull of a finite set of points in a Euclidean space Cyclic polygon – Points...

the polygon's center. The midpoint-stretching polygon of a cyclic polygon P (a polygon whose vertices all fall on the same circle) is another cyclic polygon...

to derive a formula for the area of the polygon as a function of its side lengths, even for cyclic polygons that do not contain their circumcenters....

That is, a regular polygon is a cyclic polygon. Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed...

self-intersecting. All regular polygons and edge-transitive polygons are equilateral. When an equilateral polygon is non-crossing and cyclic (its vertices are on...

tangential polygons. Not every polygon with more than three sides is an inscribed polygon of a circle; those polygons that are so inscribed are called cyclic polygons...

(vertex-transitive) polygon is an isotoxal (edge-transitive) polygon. For example, the (isogonal) rectangle and (isotoxal) rhombus are duals. In a cyclic polygon, longer...

circle that is tangent to each of the polygon's sides. The dual polygon of a tangential polygon is a cyclic polygon, which has a circumscribed circle passing...

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

well-studied example is the cyclic quadrilateral. Every regular polygon and every triangle is a cyclic polygon. A polygon that is both cyclic and tangential is...

a polygon pp. 275-278) Weisstein, Eric W. "Cyclic Pentagon." From MathWorld--A Wolfram Web Resource. [1] Robbins, D. P. (1994). "Areas of Polygons Inscribed...

nontrivial orbit Cyclic polygon, a polygon which can be given a circumscribed circle Cyclic shift, also known as circular shift Cyclic symmetry, n-fold...

field is cyclic. The set of rotational symmetries of a polygon forms a finite cyclic group. If there are n different ways of moving the polygon to itself...

An inscribed polygon might refer to any polygon which is inscribed in a shape, especially: A cyclic polygon, which is inscribed in a circle (the circumscribed...

object having the same perimeter. A cyclic polygon (one inscribed in a circle) has the largest area of any polygon with a given number of sides of the...

does not depend on the location of the point, and is that polygon's invariant. A cyclic polygon is equiangular if and only if the alternate sides are equal...

A megagon or 1,000,000-gon (million-gon) is a polygon with one million sides (mega-, from the Greek μέγας, meaning "great", being a unit prefix denoting...

the empty Schläfli symbol {}. Polygon Equilateral Cyclic polygon Convex polygon Star polygon Pentagram Regular polygon Equilateral triangle Simplex Square...

2016-01-02, retrieved 2015-11-06. Meskhishvili, Mamuka (2020). "Cyclic Averages of Regular Polygons and Platonic Solids". Communications in Mathematics and Applications...

the midpoint-stretching polygon of a cyclic polygon P is another cyclic polygon inscribed in the same circle, the polygon whose vertices are the midpoints...

Decagram Hendecagram Dodecagram Icositetragram Concave polygon Cyclic polygon Regular polygon Polyform Gnomon Golygon List of uniform tilings Uniform...

edu/FG2016volume16/FG201627.pdf Meskhishvili, Mamuka (2021). "Cyclic Averages of Regular Polygonal Distances" (PDF). International Journal of Geometry. 10:...