伪内切圆和旁切圆On_Mixtilinear_Incircles_and_Excircles.pdf,Forum Geometricorum b Volume 6 (2006) 1–16. bb b FORUM GEOM ISSN 1534-1178 On Mixtilinear Incircles and Excircles Khoa Lu Nguyen and Juan Carlos Salazar Abstract. A mixtilinear incircle (respect
A circle that in internally tangent to two sides of a triangle and to the circumcircle is called a mixtilinear incircle. There are three mixtilinear incircles, one corresponding to each angle of the triangle. The radius of the -mixtilinear incircle inscribed in is given by (1) ...
Mathematical model and formula used; Consequences of the formula; Alternative construction of the mixtilinear incircle.doi:10.1080/00029890.1999.12005146PaulYiuMathematical Association of AmericaThe American mathematical monthlyP. Yiu, Mixtilinear incircles, Amer. Math. Monthly, 106 (1999) 952-955....
OnMixtilinearIncirclesandExcircles KhoaLuNguyenandJuanCarlosSalazar Abstract.Amixtilinearincircle(respectivelyexcircle)ofatriangleistangentto twosidesandtothecircumcircleinternally(respectivelyexternally).Westudy theconfigurationofthethreemixtilinearincircles(respectivelyexcircles).In ...
mixtilinear incircle has radius ra r cos2 A 2 3 XI bisects angle BXC See Figure 3 Consider the radical axis aof the mixtilinear incircles Ob and Oc Proposition 7 The radical axis acontains 1 the midpoint A1of the arc BC of O not containing the vertex A 2 the midpoint Maof IA0...
Provides information on mixtilinear incircles of a triangle. Mathematical model and formula used; Consequences of the formula; Alternative construction of the mixtilinear incircle.YiuPaulAmerican Mathematical MonthlyP. Yiu, Mixtilinear incircles, Amer. Math. Monthly, 106 (1999) 952-955....