Heronian triangles of class K: congruent incircles cevian perspective

Forum Geometricorum

Stalislav Takhaev¹  Frank M. Jackson¹ 

DOI  :  

学科分类：数学（综合）

来源: Forum Geometricorum: a journal on classical euclidean geometry

【 摘 要 】

We relate the properties of a cevian that divides a reference triangle into two sub-triangles with congruent incircles to the system of inner and outer Soddy circles of the same reference triangle. We show that if constraints are placedon the reference triangle then relationships exist between the Soddy circles, the incircle of the reference triangle and the congruent incircles of the sub-triangles. In particular, we show that a class of Heronian triangles existswith inradius equal to integer multiples of their inner and outer Soddy circle radii.

【 授权许可】

Unknown