Problem 224. Viviani's Theorem, Isosceles Triangle,
Altitude, Distance
In an isosceles triangle ABC (AB =
BC), the sum of the distances from any point on the extension of
CA to the equal sides is equal to the altitude of the equal
sides.
The theorem is named for Vincenzo Viviani (1622-1703), a pupil of Galileo and Torricelli, who is also remembered for a reconstruction of a book on the conic sections of Apollonius and for finding a way of trisecting an angle through the use an equilateral hyperbola.
Problem 224. Viviani's Theorem, Isosceles Triangle,
Altitude, Distance