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Symmedian Point and Lemoine Properties by gdfdg2535 is a document available to read on EtoBox.
What is Symmedian Point and Lemoine Properties about?
The document discusses properties of the Lemoine point of a triangle. It begins by defining isogonal lines and symmedians. It then proves several theorems about the symmedians, including that they are concurrent at the Lemoine point. Additional theorems prove properties of the Lemoine point, including that it minimizes the sum of squared distances to the triangle sides. The Lemoine point is also shown to be the centroid of the triangle
- Author
- gdfdg2535
- Language
- EN