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Outline
Modern Geometry of the Triangle
Cevians and the Cevian Triangle
Collinearities and Concurrencies: Sides of Cevian Triangle.
External Cevians
Perspective Triangles: A 3D View
External Cevians and the Precevian Triangle
Centers Associated With The Incenter
Pedal Triangles
The ExtraGergonne Triangle
Pivot Triangle
The Nagel Line
Isogonal Conjugates and the Incenter
Pedal Points of Isogonal Conjugates are Concyclic
Perpendiculars to the Pedal Triangle
Isotomic Conjugates
Steiner Circumellipse as Isotomic Conjugate
Gergonne and Nagel and Isotomic Conjugates
Pedal Triangles of Isogonal Conjugates
Antiparallel, Medians, and Symmedians
The Lemoine Axis
The Brocard Axis
The Orthic Axis
The First Brocard Point
The Brocard Points are Isogonal Conjugates
The Brocard Triangle
The Brocard Triangle and Brocard Circle
Parallels to the Brocard Triangle
Perpendiculars to the Brocard Triangle (Tarry Point)
Modern Geometry of the Triangle
Author:
Steve Phelps
Topic:
Geometry
This GeoGebraBook is inspired by the work of the same name by the late Triangle Geometer Steve Sigur
Cevians and the Cevian Triangle
Collinearities and Concurrencies: Sides of Cevian Triangle.
External Cevians
Perspective Triangles: A 3D View
External Cevians and the Precevian Triangle
Centers Associated With The Incenter
Pedal Triangles
The ExtraGergonne Triangle
Pivot Triangle
The Nagel Line
Isogonal Conjugates and the Incenter
Pedal Points of Isogonal Conjugates are Concyclic
Perpendiculars to the Pedal Triangle
Isotomic Conjugates
Steiner Circumellipse as Isotomic Conjugate
Gergonne and Nagel and Isotomic Conjugates
Pedal Triangles of Isogonal Conjugates
Antiparallel, Medians, and Symmedians
The Lemoine Axis
The Brocard Axis
The Orthic Axis
The First Brocard Point
The Brocard Points are Isogonal Conjugates
The Brocard Triangle
The Brocard Triangle and Brocard Circle
Parallels to the Brocard Triangle
Perpendiculars to the Brocard Triangle (Tarry Point)
Next
Cevians and the Cevian Triangle
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