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Prove that the involute of a circle is a constant and explain its form is it a spiral? a closed curve?

User Yohanny
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The involute of a circle is a constant curve that is generated by unwrapping a tangent line that always makes the same angle with the x-axis. It is a type of spiral that is tangent to all radii of the circle and is a continuous, smooth, and closed curve.
User Birdcage
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