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An Angle Invariant for Arbitrary Triangles

Let be the angle between two arbitrary lines and . Let be an arbitrary triangle.
Define values relating to quadrilaterals based on the line :
,
,
.
Define values relating to quadrilaterals based on the line :
,
,
.
Then:
,
where , , are Conway notation for the triangle .
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 Minh Trinh Xuan
"An Angle Invariant for Arbitrary Triangles"
 http://demonstrations.wolfram.com/AnAngleInvariantForArbitraryTriangles/
 Wolfram Demonstrations Project
 Published: May 16, 2022
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