- geometry, an
inellipse is an
ellipse that
touches the
three sides of a triangle. The
simplest example is the incircle.
Further important inellipses are the...
- of the triangle. e) The
Steiner inellipse has the
greatest area of all
inellipses of the triangle. : p.146 : Corollary 4.2
Proof The
proofs of properties...
- its
sides Juhász, Imre (2012), "Control
point based representation of
inellipses of triangles" (PDF),
Annales Mathematicae et Informaticae, 40: 37–46,...
-
vertices z1, z2, z3 and
tangent to the
sides at
their midpoints: the
Steiner inellipse. The foci of that
ellipse are the
zeroes of the
derivative p'(z). This...
-
triangle and
tangent to all
three sides.
Every triangle has a
unique Steiner inellipse which is
interior to the
triangle and
tangent at the
midpoints of the...
-
called the
Steiner cir****ellipse, to
distinguish it from the
Steiner inellipse.
Named after Jakob Steiner, it is an
example of a cir****conic. By comparison...
-
points of any
inellipse of a
triangle with the
opposite vertices of the
triangle are concurrent.: p.148 All the
centers of
inellipses of a
given quadrilateral...
- {\displaystyle c}
remains constant.
Every triangle has a
unique Steiner inellipse – an
ellipse inside the
triangle and
tangent to the
midpoints of the three...
-
neighbored tangents coincide. This
procedure results in a
statement on
inellipses of triangles. From a
projective point of view the two
triangles P 1 P...
- the
roots of the
derivative of the
cubic are the foci of the
Steiner inellipse of the triangle—the
unique ellipse that is
tangent to the
triangle at...
