On incircles in triangles and quadrangles

• المؤلفون الرئيسيون: Denoga, Gerald L., Sianghio, Michael H.
• التنسيق: text
• اللغة: English
• منشور في: Animo Repository 1996
• الموضوعات: Triangles; Finite generalized quadrangles; Geometry, Plane; Circle
• الوصول للمادة أونلاين: https://animorepository.dlsu.edu.ph/etd_bachelors/16304

This paper discusses basic properties of incircles in triangles and quadrangles. In particular, it will be shown that (1) Let P be a point on the side BC of a triangle ABC and let r, r2, r3, be the inradii of the triangles ABC, ACP, ABP, respectively. Then 1/2 + 1/3 - 1/2r3 = 2/ha where ha is the al...