Menelaus' Thm

The theorem is named for Menelaus of Alexandria, who lived around the end of the first century. You can find more about his life at the St Andrews University web site.

Menelaus also proved a spherical version of the same theorem. If the triangle and the cutting line are all formed by great circle arcs on a sphere, then the formula states that .

HOEHN'S THM

Almost 1900 years after Menelaus (1995) a mathematician
named Hoehn published a similar looking theorem about Pentagons in Mathematics
Magazine. In it he stated that the product of all the red segments
equals the product of all the blue segments.