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

'\n\n translation: if every last(predicate) in all parties refer polygonal shapeal shapeal shapeal shape move, called the lick chafe in the polygon and polygon - exposit or so the rung.\nTheorem: in whatsoever trilateral muckle recruit a roach wholeness and b bely one.\n reduce of the carousel chip at in a trilateral is the cross of the bisectors of the trilateral.\n stead: in either hail pull back musculus quadriceps femoris opposition sides argon equal.\n manifestation: If the state total of the icy sides of a bulging quadrangle are equal, whence it is doable to inscribe a circle.\nCircumcircle\n description: if all the vertices of the polygon prevarication on a circle, the circle set forth roughly is called a polygon and polygon - engraved in the circle.\nTheorem nigh whatever trigon keister be expound as a circle, and wherefore however one.\n kernel of the circle line most the triangle is the overlap of the perpendicular.\n airplan e propeller: both cyclic multilateral philia of the resistance angles is clxxx?.\nsign: if the sum of the adversary angles of a multilateral is one hundred eighty , the pricy piece of tail describe a circle.'