Menelaus Tyndareus and Leda abdicated the thrones. Menelaus and Helen had a daughter Hermione as supported, for example, by Sappho, whilst some variations of the myth suggest they had three sons as well: Aithiolas, Maraphius, and Pleisthenes. Their palace (ἀνάκτορον) has been discovered (the excavations started in 1926 and continued until 1995) in Pellana, Laconia, to the north-west of modern (and classical) Sparta. Other archaeologists consider that Pellana is too far away from other Mycenaean centres to have been the "capital of Menelaus". According to legend, in a return for awarding her a golden apple inscribed "to the fairest," Aphrodite promised
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