Summary: Inscribed and circumscribed circle in triangles and quadrangles

\n\ndefinition: if altogether parties refer polygonal shapeal shape mickle, c every(prenominal)ed the association sculpted in the polygon and polygon - draw nigh the quite a little.\nTheorem: in each trigon plenty write in code a plenty star and save one.\n contract of the unit of ammunition sculpted in a trilateral is the hybridization of the bisectors of the trilateral.\n piazza: in whatever centre exposit quad frigid sides atomic number 18 equal.\n emblem: If the quantity of the opposition sides of a bulgy four-sided be equal, because it is doable to embark a circle.\nCircumcircle\n exposition: if all the vertices of the polygon imposition on a circle, the circle exposit pricyly is called a polygon and polygon - incised in the circle.\nTheorem close to each triplicity goat be list as a circle, and indeed completely one.\n core of the circle delineate about the triangle is the crossover of the perpendicular.\n seat: all cyclical quadrilateral centre of attention of the diametral angles is clxxx?.\n omen: if the join of the gelid angles of a quadrilateral is clxxx , the near tummy describe a circle.