Conics Through the Traces of Two Points

Given two points P and Q, it is sometime possible to construct a unique conic through the traces of these two points in the sides of ABC. This conic is designated C(P,Q). The simplest example is the nine-point circle, which is C(H,O). Drag points P and Q around to find other conics that pass through all six traces.

 

Steve Phelps

 
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geometry  triangle 
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14 – 18
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English
 
 
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