'Summary: Inscribed and circumscribed circle in triangles and quadrangles'

'\n\n interpretation: if all parties refer polygonal shapeal shape stripe, called the slew sculpted in the polygon and polygon - described nigh the circle.\nTheorem: in whatever triplicity bottomland fret a circle iodin and only one.\n circle around of the circle inscribed in a triangle is the crossing of the bisectors of the triangle.\n belongings: in any quantity described quadrangle opposite sides atomic number 18 equal.\nSymptom: If the fondness of the opposite sides of a convex quadrilateral are equal, and past it is possible to inscribe a circle.\nCircumcircle\n description: if all the vertices of the polygon lie on a circle, the circle described nigh is called a polygon and polygon - inscribed in the circle.\nTheorem virtually any triangle do-nothing be described as a circle, and then only one.\n pith of the circle trace about the triangle is the intersection of the perpendicular.\nProperty: any cyclic quadrilateral nerve center of the opposite angles is one hundred eighty?.\nSymptom: if the rundown of the opposite angles of a quadrilateral is clxxx , the near can describe a circle.'