- △ABC are
parallel to the
sides of the
orthic triangle,
forming a
triangle similar to the
orthic triangle. The
orthic triangle is
closely related to the tangential...
- the
orthic axis of △ABC is the
trilinear polar of the
orthocenter of △ABC. The
orthic axis of △ABC is the axis of
perspectivity of △ABC and its
orthic triangle...
-
become the
excenters of this
common orthic triangle. The
orthocentric point that
becomes the
incenter of the
orthic triangle is that
orthocentric point...
- nine-point
circle of the
heptagonal triangle.: p. 15 The
heptagonal triangle's
orthic triangle, with
vertices at the feet of the altitudes, is
similar to the...
-
vertices at the
midpoints of the
sides of the
reference triangle) and its
orthic triangle (with
vertices at the feet of the
reference triangle's altitudes)...
- In geometry, an
altitude of a
triangle is a line
segment through a
given vertex (called apex) and
perpendicular to a line
containing the side or edge opposite...
-
measured in degrees,
known for the only
acute triangle that is
similar to its
orthic triangle (with
vertices at the feet of the altitudes), and the only triangle...
-
Numerantium (129): i–xxv, 1–295. Kiss, Sándor (2006). "The
Orthic-of-Intouch and Intouch-of-
Orthic Triangles".
Forum Geometricorum (6): 171–177. Derivation...
-
gives rise to some
special cases: If P is the orthocenter, then △LMN is the
orthic triangle. If P is the incenter, then △LMN is the
intouch triangle. If P...
- perimeter. The
solution is the
orthic triangle, with
vertices at the base
points of the
altitudes of the
given triangle. The
orthic triangle, with
vertices at...
