At First Glance – 2400 Year Old Problem Solved: Philo’s Line Construction With Unmarked Straightedge and a Compass

It looks like Philo’s Line can be drawn as below, using only a straightedge and a compass, by virtue of knowing NordaVinci’s Formula for the Area of a Right Triangle, which can be used to show that the two tangent points 1) the inscribed circle tangent point to the hypotenuse, and 2) the escribed circle tangent point to the hypotenuse, are equidistant from the endpoints of the hypotenuse on each end.

3 thoughts on “At First Glance – 2400 Year Old Problem Solved: Philo’s Line Construction With Unmarked Straightedge and a Compass

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