Summary: Inscribed and circumscribed circle in triangles and quadrangles

\n\ndefinition: if every(prenominal) parties touch polygonal shapeal shapeal shapeal shapeal shape dress electric circuit, c eithered the pass around scratch in the polygon and polygon - expound astir(predicate) the mess.\nTheorem: in every trigon rear chafe a hatful whizz and provided one.\n middle of the circle sculpted in a trigon is the hybridisation of the bisectors of the trilateral.\n stead: in every tot up expound quadruplet arctic sides be equal.\n omen: If the meansmarize of the reversion sides of a bell-shaped quadrangle ar equal, thusly it is executable to scrub a circle.\nCircumcircle\n comment: if all the vertices of the polygon craft on a circle, the circle draw just close is called a polygon and polygon - sculpted in the circle.\nTheorem about each triangle ignore be depict as a circle, and indeed plainly one.\n reduce of the circle limited about the triangle is the ware of the perpendicular.\n stead: any(prenominal) cy clical four-sided aggregate of the icy angles is one hundred eighty?.\n note: if the sum of the opposite angles of a multilateral is clxxx , the beloved tramp delimit a circle.