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Segments at equal angles from the opposite sides of a cyclic quadrilateral | geometry | intermediate
11 months ago
26
Health & Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
circle
quadrilateral
cyclic
cyclic quadrilateral
circumcircle
Episode 73.
Segments at equal angles from the opposite sides of a cyclic quadrilateral | geometry | intermediate.
The cyclic quadrilateral formed by segments at equal angles from the opposite sides of another cyclic quadrilateral | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Theorem. Let $ABCD$ be a cyclic quadrilateral. let $E$ and $F$ be points on the side $AD$ such that $\angle{ABE}=\angle{DCF}$. Then the quadrilateral $BCFE$ is cyclic.
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/nn1GESBjfHo
The same video on Telegram:
https://t.me/mathematical_bunker/97
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