## Fagnano's problem
ABC, find
the inscribed triangle whose perimeter
is as small as possible. The answer is the orthic triangle
of ABC, that is, the triangle (DEF) whose vertices
are endpoints of the altitudes from each
of the vertices of ABC. The problem was proposed and solved using
calculus by Giovanni Fagnano (1715–1797)
in 1775. Once the answer became known, several purely geometric solutions
were also discovered. ## Related category• GEOMETRY | |||||||

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