Serenus from Antinoupolis

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Serenus von Antinoupolis (formerly also Serenus von Antissa ; * in Antinoupolis , Egypt) was a Greek mathematician of the 4th century.

life and work

Little is known about the life of the Serenus. In the past, the place of birth Antissa on Lesbos was partially assumed, today the place of birth Antinoupolis, a city in Egypt founded by Emperor Hadrian in 130 AD, is assumed. Since he used the work of Pappos , it is generally believed that he lived in the 4th century. Two mathematical works by him have survived, On the section of the cylinder and On the section of the cone . In About the Section of the Cylinder , he showed that sections of planes with cylinders lead to ellipses just like cones. As he himself writes, he wanted to counter a common misconception among geometry students that there were different figures. In his book on conic sections, he mainly deals with the area of ​​triangles that are created by the intersection of planes through the apex of cones. Serenus also wrote a lost commentary on the work of Apollonios von Perge on conic sections, from which some sentences in the work of Theon of Smyrna may come, since Theon ascribes them to a philosopher Serenus.

His works were published by Johann Ernst Nizze and von Heiberg . A Latin translation of his works (De sectione cylindri, De sectione coni) was published in 1566 in the edition of Apollonios by Federicus Commandinus (Federico Commandino, 1509–1575) in Bologna, the Greek text first with that of Apollonios by Edmond Halley (Oxford 1710 ).

Editions and translations

  • Heiberg (editor) Sereni Antinoensis Opuscula , Leipzig, Teubner 1896
  • Nizze (editor, critical edition with Latin translation) Serenus von Antissa: About the cut of the cylinder , Stralsund 1860, About the cut of the cone , Stralsund 1861
  • Paul ver Eecke Serenus d´Antinoe. Le livre De la section du cylinder et le livre De la section du cone , Paris, Bruges 1929 (French translation)

literature

Web links

Remarks

  1. Edmond Halley in his edition of the theory of conics by Apollonios
  2. due to a later addition to the manuscript of his On the Cut of the Cylinder in the Vatican Library and a manuscript of his On Conic Sections located in Paris, originally from a monastery on Mount Athos . Heiberg On the birthplace of the Serenos , Bibliotheca mathematica, Volume 8, 1894, pp. 97-98
  3. The fragment was published in Heiberg's edition of the works and in TH Martin Theonis Platonici Liber De astronomia , Paris 1849, reprinted Groningen 1971