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) ...
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....
particular,wegiveeasyconstructionsofthecircle(apartfromthecircumcircle) tangentthethreemixtilinearincircles(respectivelyexcircles).Wealsoobtaina numberofinterestingtrianglecentersonthelinejoiningthecircumcenterand theincenterofatriangle. 1.Preliminaries Inthispaperwestudytwotriadsofcirclesassociatedwithatriangle,themix...
circle O r Let O1 r1 be a circle that touches BC at E and intouches the circle O at D The line DE passes through the midpoint A of the arc BC that does not contain the point D Furthermore AD AE AB2 AC2 Proposition 4 The perspectrix of the circumcevian triangle of P is the ...
Handling device for handling e.g. window unit, on building site, has lock plate with form inscribed in mixtilinear rectangle whose small sides are formed by half of right side, arc of circle and radius equal to half-length of rectangle...
Mixtilinear IncirclesProvides information on mixtilinear incircles of a triangle. Mathematical model and formula used; Consequences of the formula; Alternative construction of the mixtilinear incircle.doi:10.1080/00029890.1999.12005146PaulYiuMathematical Association of America...