angle of polygon

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• Angle excess — is the amount by which the sum of the angles of a polygon on a sphere exceeds the sum of the angles of a polygon with the same number of sides in a plane. For instance, a plane triangle has an angle sum of 180°; an octant is a spherical triangle… …   Wikipedia

• polygon — (n.) 1570s, from L. polygonum, from Gk. polygon polygon, from neuter of polygonos many angled, from polys many (see POLY (Cf. poly )) + gonia angle (see KNEE (Cf. knee)) …   Etymology dictionary

• Polygon — Pol y*gon, n. [Gr. poly gwnos polygonal; poly s many + gwni a angle: cf. F. polygone.] (Geom.) A plane figure having many angles, and consequently many sides; esp., one whose perimeter consists of more than four sides; any figure having many… …   The Collaborative International Dictionary of English

• Polygon of forces — Polygon Pol y*gon, n. [Gr. poly gwnos polygonal; poly s many + gwni a angle: cf. F. polygone.] (Geom.) A plane figure having many angles, and consequently many sides; esp., one whose perimeter consists of more than four sides; any figure having… …   The Collaborative International Dictionary of English

• Angle chasing — is a technique to solve or help in solving a kind of geometric problems by studying the angles first. It is often advisable to start geometrical problem solving with angle chasing as it s a simple way to get further information about the… …   Wikipedia

• Polygon — For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon (   …   Wikipedia

• Angle — This article is about angles in geometry. For other uses, see Angle (disambiguation). Oblique angle redirects here. For the cinematographic technique, see Dutch angle. ∠, the angle symbol In geometry, an angle is the figure formed by two rays… …   Wikipedia

• Angle trisection — The problem of trisecting the angle is a classic problem of compass and straightedge constructions of ancient Greek mathematics.Two tools are allowed # An un marked straightedge, and # a compass, Problem: construct an angle one third a given… …   Wikipedia

• polygon — noun Etymology: Late Latin polygonum, from Greek polygōnon, from neuter of polygōnos polygonal, from poly + gōnia angle more at gon Date: 1571 1. a closed plane figure bounded by straight lines 2. a closed figure on a sphere bounded by arcs of… …   New Collegiate Dictionary

• Re-entrant polygon — A re entrant, or concave polygon is one in which at least one interior angle is more than 180 degrees (i.e. a reflex angle). A polygon is re entrant or concave if there exist two points within the polygon which cannot be connected by a straight… …   Wikipedia

• Internal angle — If every internal angle of a polygon is at most 180 degrees, the polygon is called convex.In contrast, an exterior angle (or external angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.Interior… …   Wikipedia