- {rr_{a}r_{b}r_{c}}}.} The
circular hull of the
excircles is
internally tangent to each of the
excircles and is thus an
Apollonius circle. The
radius of...
- more circles, the
excircles.
These are
circles that are each
tangent to the
three lines through the triangle's sides. Each
excircle touches one of these...
-
excircles; they lie
outside the
triangle and
touch one side, as well as the
extensions of the
other two. The
centers of the
incircles and
excircles form...
- triangle's nine-point
circle is
externally tangent to that triangle's
three excircles and
internally tangent to its incircle; this
result is
known as Feuerbach's...
- Let the
excircles of △ABC
opposite to the
vertices A, B, C be EA, EB, EC respectively. Let E be the
circle which touches the
three excircles EA, EB, EC...
-
circles Schoch circles Woo
circles Apollonius circle of the
excircles Brocard circle Excircle Incircle Lemoine circle Lester circle Malfatti circles Mandart...
- circles. The
Spieker center of a
triangle is the
radical center of its
excircles.
Several types of
radical circles have been
defined as well, such as the...
- TC be the
extouch points in
which the A-
excircle meets line BC, the B-
excircle meets line CA, and the C-
excircle meets line AB, respectively. The lines...
- {a+b+c}{2}}.} In any triangle, any
vertex and the
point where the
opposite excircle touches the
triangle partition the triangle's
perimeter into two equal...
-
triangle of a
triangle is
formed by
joining the
points at
which the
three excircles touch the triangle. The
vertices of the
extouch triangle are
given in...
