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Journal of Computer-Generated Euclidean Geometry |
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Gergonne Point Deko Dekov
Gergonne Point = Symmedian Point of the Intouch Triangle. Gergonne Point = Mittenpunkt of the
Anticomplementary Triangle. Gergonne Point = Symmedian Point of the Pedal
Triangle of the Incenter. Gergonne Point = Mittenpunkt of the Antipedal Triangle
of the Orthocenter. Gergonne Point = Center of the Cosine Circle of
the Intouch Triangle. Gergonne Point = Center of the Cosine Circle of
the Pedal Triangle of the Incenter. Gergonne Point = Reflection of the Mittenpunkt
in the Complement of the Mittenpunkt. Gergonne Point = Product of the Centroid and the
Gergonne Point. Gergonne Point = Product of the Incenter and the
Isotomic Conjugate of the Mittenpunkt. Gergonne Point = Product of the External Center
of Similitude of the Incircle and the Circumcircle and the Isotomic Conjugate
of the Symmedian Point. Gergonne Point = Product of the Isogonal
Conjugate of the Mittenpunkt and the Isotomic Conjugate of the Incenter. Gergonne Point = Internal Center of Similitude
of the Inner Soddy Circle and the Outer Soddy Circle. Gergonne Point = Internal Center of Similitude
of the Outer Soddy Circle and the Radical Circle of the Lucas Circles of the
Intouch Triangle. Gergonne Point = External Center of Similitude
of the Incircle and the Half-Moses Circle of the Intouch Triangle. Gergonne Point = Perspector of Triangle ABC and
the Extouch Triangle of the Medial Triangle. Gergonne Point = Perspector of Triangle ABC and
the Symmedial Triangle of the Intouch Triangle. Gergonne Point = Perspector of the Intouch Triangle
and the Anticevian Triangle of the Gergonne Point. Gergonne Point = Perspector of the Intouch
Triangle and the Circumcevian Triangle of the Gergonne Point. Gergonne Point = Perspector of the Anticevian
Triangle of the Gergonne Point and the Pedal Triangle of the Incenter. Gergonne Point = Perspector of the Anticevian
Triangle of the Gergonne Point and the Circumcevian Triangle of the Gergonne
Point. Gergonne Point = Perspector of the Pedal
Triangle of the Incenter and the Circumcevian Triangle of the Gergonne Point.
Gergonne Point = Perspector of Triangle ABC and
the Stevanovic Triangle of the Orthocenters of the Triangulation triangles of
the Incenter. Gergonne Point = Perspector of Triangle ABC and
the Stevanovic Triangle of the Gergonne Points of the Triangulation triangles
of the Center of the Outer Soddy Circle. Gergonne Point = Perspector of Triangle ABC and
the Stevanovic Triangle of the Gergonne Points of the Triangulation triangles
of the Center of the Inner Soddy Circle. Gergonne Point = Homothetic Center of Triangle
ABC and the Triangle of the Gergonne Points of the Corner Triangles of the
Centroid. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the Internal Centers of Similitude of the Incircles and the
Circumcircles of the Corner Triangles of the Orthocenter. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the reflections of the Internal Center of Similitude of the
Incircle and the Circumcircle in the sides of the Excentral Triangle. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the reflections of the Gergonne Point in the vertices of the
Intouch Triangle. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the reflections of the Gergonne Point in the vertices of the
Anticevian Triangle of the Gergonne Point. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the reflections of the vertices of the Intouch Triangle in
the Gergonne Point. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the reflections of the vertices of the Extouch Triangle in
the Mittenpunkt. Gergonne Point = Homothetic Center of Triangle
ABC and the Triangle of the reflections of the vertices of the
Anticomplementary Triangle in the Mittenpunkt. Gergonne Point = Perspector of Triangle ABC and
the Triangle of the reflections of the vertices of the Anticevian Triangle of
the Gergonne Point in the Gergonne Point. Gergonne Point = Perspector of Triangle ABC and
the Outer Apollonius Triangle of the Lucas Circles of the Intouch Triangle. Gergonne Point = Perspector of Triangle ABC and
the Outer Apollonius Triangle of the Lucas Circles of the Anticevian Triangle
of the Gergonne Point. Gergonne Point = Perspector of Triangle ABC and
the Outer Apollonius Triangle of the Lucas Circles of the Pedal Triangle of
the Incenter. Gergonne Point = Perspector of Triangle ABC and
the Outer Apollonius Triangle of the Lucas Circles of the Circumcevian
Triangle of the Gergonne Point. Gergonne Point = Anticomplement of the
Mittenpunkt. Gergonne Point = Isotomic Conjugate of the
Anticomplement of the Incenter. Gergonne Point = Cyclocevian Conjugate of the
Anticomplement of the Mittenpunkt. Gergonne Point = Isogonal Conjugate of the
Internal Center of Similitude of the Incircle and the Circumcircle. Gergonne Point = Isotomic Conjugate of the
Isogonal Conjugate of the External Center of Similitude of the Incircle and
the Circumcircle. Gergonne Point = Cyclocevian Conjugate of the
Isogonal Conjugate of the Internal Center of Similitude of the Incircle and
the Circumcircle. Gergonne Point = Isotomic Conjugate of the Nagel
Point. Gergonne Point = Cyclocevian Conjugate of the
Isotomic Conjugate of the Nagel Point. Gergonne Point = Cyclocevian Conjugate of the
Gergonne Point. Gergonne Point = Isogonal Conjugate of the
Anticomplement of the Internal Center of Similitude of the Incircle and the
Circumcircle of the Medial Triangle. Gergonne Point = Isotomic Conjugate of the
Anticomplement of the Nagel Point of the Medial Triangle. Gergonne Point = Isotomic Conjugate of the
Anticomplement of the Circumcenter of the Intouch Triangle. Gergonne Point = Isogonal Conjugate of the
Exeter Point of the Intouch Triangle. Gergonne Point = Isotomic Conjugate of the
Isogonal Conjugate of the Gibert Point of the Intouch Triangle. Gergonne Point = Cyclocevian Conjugate of the
Symmedian Point of the Intouch Triangle. The Gergonne Point lies on the Brocard Circle of
the Intouch Triangle. The Gergonne Point lies on the Brocard Circle of
the Pedal Triangle of the Incenter. The Gergonne Point lies on the Line through the
Incenter and the de Longchamps Point. The Gergonne Point lies on the Line through the
Incenter and the Outer Eppstein Point. The Gergonne Point lies on the Line through the
Incenter and the Inner Eppstein Point. The Gergonne Point lies on the Line through the
Centroid and the Mittenpunkt. The Gergonne Point lies on the Line through the
External Center of Similitude of the Incircle and the Circumcircle and the
Schiffler Point. The Gergonne Point lies on the Line through the
Outer Eppstein Point and the de Longchamps Point. The Gergonne Point lies on the Line through the
Inner Eppstein Point and the de Longchamps Point. The Gergonne Point lies on the Line through the
Inner Eppstein Point and the Outer Eppstein Point. Invitation
The reader is
invited to submit a note/paper containing
Definitions and Conventions
We use the
definitions and conventions in accordance with [1 - 6] and papers published
in this journal. The LevelThe Machine for Questions and Answers is used to produce results
in this paper. Currently the Machine has 6 levels of depths - 0,1,2,3,4,5. We
use for this paper the level 0, that is, the Machine produces only elementary
results. If we need deeper investigation, we have to use a level bigger than
0. Since the Machine for Questions and Answers produces too many results, it
is suitable we to use bigger levels upon request, that is, for specific
questions. References
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