Euclid's Muse

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Simpson Line

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Phil Todd



Point E lies on the circumcircle of triangle ABC.  The projections of E onto the sides of the triangle are colinear.  The envelope of such lines forms a deltoid curve.

Try dragging E round the circle.

Try dragging A B and C.  Note that the envelope curve appears to remain equilateral.

Tags: deltoid, pedal-triangle, circumcircle
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