What is the locus of points P for which perpendicular lengths (red=l, green=n, purple=m) to the sides of an isosceles triangle satisfy the condition red*green = purple^{2}?

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geometry puzzles

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- Post author By Marshall W. Buck
- Post date August 1, 2024
- 1 Comment on Locus pocus II

^{2}?

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- Post author By Rik D. Tangerman
- Post date May 3, 2024
- 1 Comment on Locus pocus

The blue vertex is fixed in the plane. The green vertex can be anywhere on a circle. The yellow vertex completes an equilateral triangle. What is the locus of the yellow vertex?

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- Post author By Marshall W. Buck
- Post date April 19, 2024
- 2 Comments on Double eclipse

Given green and blue discs, construct a red region so that for every ray leaving L stays in the blue region exactly as long as it does in the pink region. (Namely, KM = OL.)

- Tags circle, construction, length, locus, proportion

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- Post author By Marshall W. Buck
- Post date June 29, 2023
- No Comments on Hidden circle II

What is the locus of orange points for which the purple lines are parallel? The fixed cevians of the triangle BCD are angle bisectors.