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Demonstrations 381  400 of 517
The Third Pedal Triangle of a Triangle
Pythagorean Triangles with the Same Area
Miquel's Theorem
The First Lemoine Circle
The Area of a Triangle, its Circumradius, and the Perimeter of its Orthic Triangle
Concurrent Lines that Intersect on the Euler Line
Collinearity of an Orthocenter, the Incenter, and the Circumcenter
Concurrent Line Segments Related to the Incircle
Projections, an Altitude, and the Orthocenter
Sums of Squares of Segments Created by a Pedal Triangle
Concyclic Circumcenters
The Intersections of Extended Cevians with Three Circumcircles of Subtriangles
The Sum of the Distances from the Orthocenter to the Vertices
Medial Division of Triangles
The ErdösMordell Inequality
The Intersection of an Angle Bisector and a Perpendicular Bisector
The Product of the Inradius and Semiperimeter of a Triangle
The Product of an Altitude and the Circumradius of a Triangle
An IMO Problem Involving Concurrency
The Product of the Side Lengths of a Triangle
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