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Brocard points of a triangle | plane geometry | intermediate level
8 months ago
8
Health & Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
Brocard
Brocard point
triangle
triangle center
angle
Episode 117.
Brocard points of a triangle | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Theorem 1. For any triangle $ABC$, there exists a unique point $P$ such that $\angle{BAP}=\angle{CBP}=\angle{ACP}$. (This point $P$ is called the first Brocard point of the triangle $ABC$.)
Theorem 2. For any triangle $ABC$, there exists a unique point $Q$ such that $\angle{ABQ}=\angle{BCQ}=\angle{CAQ}$. (This point $Q$ is called the second Brocard point of the triangle $ABC$.)
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/PE3m2Eiv27E
The same video on Telegram:
https://t.me/mathematical_bunker/142
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