Simson's Line

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The feet of the perpendiculars dropped from a point onto the sides of a triangle (or their extensions) all lie on a line (called Simson's line) if and only if the point lies on the circumscribed circle of the triangle. Drag the red point; Simson's line of that point is shown in red when found. There are also locators to modify the triangle.

External Links

Simson's Theorem

Permanent Citation

Jaime Rangel-Mondragon
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​"Simson's Line"​
​http://demonstrations.wolfram.com/SimsonsLine/​
​Wolfram Demonstrations Project​
​Published: July 29, 2010