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An Angle Invariant for Arbitrary Triangles

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Let be the angle between two arbitrary lines and . Let be an arbitrary triangle.

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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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Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA

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