Judgement of Paris the three goddesses stripped nude to convince Paris of their worthiness. While Paris inspected them, each attempted with her powers to bribe him; Hera offered to make him king of Europe and Asia, Athena offered wisdom and skill in war, and Aphrodite, who had the Charites and the Horai to enhance her charms with flowers and song (according to a fragment of the "Cypria" quoted by Athenagoras of Athens), offered the world's most beautiful woman (Euripides, "Andromache", l.284, "Helena" l. 676). This was Helen of Sparta, wife of the Greek king Menelaus. Paris accepted Aphrodite's gift and awarded the apple
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