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Gauss' trigonometric identities for heptadecagon


Today, we write down Gauss' magical trigonometric identities for regular heptadecagon.

James' geometry art


Construction algorithm


In our previous post, we have learnt about Similar Triangles and the Right Triangle Altitude Theorem. Today, continuing our journey in the garden of geometry, we want to find answer to the following question
Given a line segment of length $r$, by compass and straightedge, what kind of shapes can we construct?