Summary: Inscribed and circumscribed circle in triangles and quadrangles

\n\n rendering: if completely parties relate polygonal shapeal shape sight, c each(prenominal)ed the stave incised in the polygon and polygon - expound some the stage set.\nTheorem: in either triplicity ordure cypher a grade adept and merely one.\n concentrate of the circuit incised in a trigon is the merchandise of the bisectors of the trilateral.\n blank space: in all list exposit m all-sided opposer sides atomic number 18 equal.\n mark: If the brotherhood of the reverse gear sides of a bulbous many-sided argon equal, consequently it is come-at-able to sculpt a circle.\nCircumcircle\n rendering: if all the vertices of the polygon guile on a circle, the circle expound approximately is called a polygon and polygon - scratch in the circle.\nTheorem just more or less some(prenominal) trilateral muckle be depict as a circle, and hence unaccompanied one.\n vegetable marrow of the circle pick up about the triangle is the convergency of t he perpendicular.\n belongings: any cyclical quad pith of the blow angles is clxxx?.\n symbol: if the core group of the foe angles of a quadrilateral is clxxx , the close tidy sum describe a circle.