Article ID: CBB000933151

The Treatise “On the Section of a Cylinder” of Serenus of Antinoeia and the Apollonian Tradition (2007)

unapi

We approach three aspects of the works of Serenus of Antinoeia: the historical, the mathematical and the logical. The comparisons between the treatise On the Section of a Cylinder of Serenus of Antinoeia and the treatises The Mathematical Collection of Pappus, Commentary on the Conics and Commentary on the Sphere and the Cylinder of Eutocius, The Conics of Apollonios, The Elements, Phenomena and Optics of Euclid and On Spheroids and Conoids and On the Sphere and the Cylinder of Archimedes permit us to conclude the membership of the propositions 1 to 28 of his treatise to the Apollonian tradition. We examine, also, the transmission of the treatise in the Byzantine and the Arabic scientific circles.

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Authors & Contributors
Rashed, Roshdi
Fried, Michael N.
Unguru, Sabetai
Apollonius
Sidoli, Nathan Camillo
Rosenfeld, Boris A.
Concepts
Mathematics
Geometry
Solid geometry
Conic sections
Primary literature (historical sources)
Translations
Time Periods
Ancient
Medieval
Neolithic period
Renaissance
3rd century
18th century
Places
Greece
Middle and Near East
Scotland
Rome (Italy)
Great Britain
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