-
triangulates a
cyclic polygon, the sum of
inradii of
triangles is constant.: p. 193 Conversely, if the sum of
inradii is
independent of the triangulation,...
- PA+PB+PC+PD\geq 3(PJ+PK+PL+PM).}
Denoting the
inradius of a
tetrahedron as r and the
inradii of its
triangular faces as ri for i = 1, 2, 3, 4, we have: p.81, #1990 ...
- of any
parent triangle “inherit”
their inradii from the parent: the parent’s
excircle radii become the
inradii for the next generation.: p.7 For example...
-
formulae may be used to find
examples of
triangles whose side lengths,
inradii, and
Malfatti radii are all
rational numbers or all integers. For instance...
- (PDF),
Forum Geometricorum, 10: 27–34. Bogomolny,
Alexander (2016), An
Inradii Relation in
Inscriptible Quadrilateral, Cut-the-knot, [2]. Josefsson, Martin...
- k − 1 ) {\displaystyle 2k{\text{-}}(k-1)}
polygrams admit incircles of
inradii 1 / 2 {\displaystyle 1/2}
tangent to all its sides. In
Tilings and Patterns...
