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Demonstrations 281  300 of 462
Inversive Geometry I: Basic Properties of Inversion
A Generalization of IMO 2008 Problem 1
A Concurrency Involving the Midpoints of the Sides and the Altitudes
Angle Bisector Theorem
The Ratio of a Side of a Triangle to the Corresponding Side of the Orthic Triangle
Concyclic Points Derived from Midpoints of Altitudes
A Parallelogram Related to the Excircles
Bisecting a Line Segment through the Orthocenter
A Collinearity from the Medial and Excentral Triangles
Circumcircles Intersecting at the First Fermat Point
Collinearity of an Incenter and Two Circumcenters
A Hexagon with Opposite Sides Parallel
The Product of the Perpendiculars to the Sides of a Triangle
Tangents to the Circumcircle at the Vertices
The Orthocentroidal Circle
Pairwise Tangent Circles Centered at the Vertices of a Triangle
The Area of the Pedal Triangle of the Centroid
The Square of a Median in Terms of the Triangle's Sides
Bisection of Segments by the Sides of a Triangle
The Sum of the Squares of the Distances from the Vertices to the Orthocenter
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