Let $ABC$ a triangle, $P$ a point and $L$ the trilinear polar of some point $M$. Then the locus of points $Q$ for which the crosspoint of $P$ and $Q$ lies on $L$ is the conic with perspector the crosspoint of $P$ and $M$.
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lunes, 9 de diciembre de 2019
The crosspoint
We study some loci related to the construction known as crosspoint of two given points. The main result is as follows:
Let $ABC$ a triangle, $P$ a point and $L$ the trilinear polar of some point $M$. Then the locus of points $Q$ for which the crosspoint of $P$ and $Q$ lies on $L$ is the conic with perspector the crosspoint of $P$ and $M$.
See details at The crosspoint
Let $ABC$ a triangle, $P$ a point and $L$ the trilinear polar of some point $M$. Then the locus of points $Q$ for which the crosspoint of $P$ and $Q$ lies on $L$ is the conic with perspector the crosspoint of $P$ and $M$.
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