Synthetic Cevian Geometry Synthetic Cevian Geometry 1
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چکیده
منابع مشابه
A Triangular Adventure
It all starts with an elegant construction and surprising discovery made by Karleen Davis and Sam Johnson, students in my "Cat:Dog" ("Circles and Triangles: Diamonds of Geometry") class this semester. Karleen and Sam were just playing around, looking for interesting things to do with a triangle. One thing they tried was this. Starting with a random triangle ABC, they took H, its orthocenter, an...
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Various mappings in the plane of ABC are defined in the context of a cevian nest consisting of ABC, a cevian triangle, and an anticevian triangle. These mappings arise as Ceva conjugates, cross conjugates, and cevapoints. Images of lines under these mappings and others, involving trilinear and conicbased poles and polars, include certain conics that are the focus of this article.
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