Menelaus of Alexandria

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Menelaus of

geodesics
on a curved surface as natural analogs of straight lines.

Life and works

Sphaericorum libri tres

Although very little is known about Menelaus's life, it is supposed that he lived in Rome, where he probably moved after having spent his youth in Alexandria. He was called Menelaus of Alexandria by both Pappus of Alexandria and Proclus, and a conversation of his with Lucius, held in Rome, is recorded by Plutarch.

discovered by Hipparchus in the 2nd century BCE
.

In the 10th-century

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.

Bibliography

The titles of a few books by Menelaus have been preserved:

  • On the calculation of the chords in a circle, composed of six books
  • Elements of geometry, composed of three books, later edited by
    Thabit ibn Qurra
  • On the knowledge of the weights and distributions of different bodies
  • He may also have written a star catalogue.

Notes

  1. ^ Encyclopædia Britannica "Greek mathematician and astronomer who first conceived and defined a spherical triangle (a triangle formed by three arcs of great circles on the surface of a sphere)."
  2. .

References

  • Ivor Bulmer-Thomas. "Menelaus of Alexandria." Dictionary of Scientific Biography 9:296-302.
  • Pedro Pablo Fuentes González, “Ménélaos d’Alexandrie”, in R. Goulet (ed.), Dictionnaire des Philosophes Antiques, vol. IV, Paris, CNRS, 2005, p. 456-464.
  • Roshdi Rashed and Athanase Papadopoulos, Menelaus' Spherics. Early Translation and al-Māhānī / al-Harawī's Version. De Gruyter, Scientia Graeco-Arabica 21. xiv, 874 pages.

External links