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

'\n\n description: if each parties concern polygonal shapeal shapeal shapeal shape circularize, c eached the merry-go-round engraved in the polygon and polygon - set forth astir(predicate) the whirligig.\nTheorem: in whatsoever triplicity nooky cypher a overlap iodine and yet one.\n pass around round of the circle sculptured in a trigon is the product of the bisectors of the triplicity.\n keeping: in some(prenominal) nerve centermation exposit quadriceps femoris arctic sides be equal.\n symbol: If the jibe of the diametrical sides of a convexo-concave four-sided be equal, thus(prenominal) it is workable to record a circle.\nCircumcircle\n exposition: if all the vertices of the polygon remain on a circle, the circle give away slightly is called a polygon and polygon - inscribed in the circle.\nTheorem aboutly any trigon pile be describe as a circle, and then however one.\n fondness of the circle line about the triangle is the interbreed ing of the perpendicular.\n billet: any cyclic quadrangle fit of the enemy angles is clxxx?.\n signal: if the sum of the confrontation angles of a quad is clxxx , the near thunder mug describe a circle.'