Menelaus challenges Paris to a duel for Helen’s return. Menelaus soundly beats Paris, but before he can kill him and claim victory, Aphrodite spirits Paris away inside the walls of Troy. In Book 4, while the Greeks and Trojans squabble over the duel’s winner, Athena inspires the Trojan Pandarus to shoot Menelaus with his bow and arrow. However, Athena never intended for Menelaus to die and she protects him from the arrow of Pandarus. Menelaus is wounded in the abdomen, and the fighting resumes. Later, in Book 17, Homer gives Menelaus an extended "aristeia" as the hero retrieves the corpse of
Menelaus of Alexandria great circle arcs, which he named "trilaterals") and proves Menelaus' theorem on collinearity of points on the edges of a triangle (which may have been previously known) and its analog for spherical triangles. It was later translated by the sixteenth century astronomer and mathematician Francesco Maurolico. The lunar crater Menelaus is named after him. The titles of a few books by Menelaus have been preserved: Menelaus of Alexandria Menelaus of Alexandria (; , "Menelaos ho Alexandreus"; c. 70 – 140 CE) was a Greek mathematician and astronomer, the first to recognize geodesics on a curved surface as natural analogs of