incenter
Noun
Meaning
The center of the circle inscribed in a triangle.
Source: Webster's dictionarySynonyms
Anagrams
Examples
Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter.
Any line through a triangle that splits both the triangle's area and its perimeter in half goes through the triangle's incenter (the center of its incircle ).
Euler's theorem states that the distance d between the circumcenter and the incenter is given by : p.85 : or equivalently : where R is the circumradius and r is the inradius.