Fagnano's problem
Problema de Fagnano
- Date
- 1775 · confidence high
- Place
- Senigallia, Marche, Italy
- Credited to
- Giovanni Fagnano
- Field
- Knowledge & symbols
What was discovered
Optimisation problem posed by Giovanni Fagnano in 1775: find, within an acute triangle, the inscribed triangle of minimum perimeter; the solution is the orthic triangle.
What it led to
- One of the earliest precisely solved geometric optimisation problems
- Later connection to billiards and reflected light paths
- Classic example in triangle geometry