Origins of Greek trigonometry: The composition of Ptolemy’s table of chords

Authors

Keywords:

Ptolemy, Almagest, Greek trigonometry, history of astronomy

Abstract

The article explains in full detail the algorithms proposed by Ptolemy in his Almagest for the composition of the table of chords. This table is the most ancient trigonometric table available in our times.

References

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Neugebauer, O. (1975). A History of Ancient Mathematical Astronomy (Vol. I). Berlin-Heidelberg: Springer-Verlag.

Pedersen, O. (2010). A Survey of the Almagest: with annotation and new commentary by Alexander Jones. (A. Jones, Ed.) New York: Springer.

Ptolemy, C. (1984). Almagest. En G. Toomer, Ptolemy´s Almagest (G. Toomer, Trad., pp. 27-659). Princeton: Princeton University Press.

Ptolomeo, C. (1898-1903). Syntaxis Mathematica (J. L. Heiberg, Ed.). Leipzig: Teubner.

Recio, G. L. (2018). La longitud lunar en el Almagesto de Ptolomeo: el primer modelo. Epistemología e Historia de la Ciencia, 3(1), 32-60.

Van Brummelen, G. (2009). The Mathematics of the Heavens and the Earth: The Early History of Trigonometry. Princeton, New Jersey: Princeton University Press.

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Published

2021-11-10

How to Cite

Origins of Greek trigonometry: The composition of Ptolemy’s table of chords. (2021). Epistemología E Historia De La Ciencia, 6(1), 105-138. https://revistas.unc.edu.ar/index.php/afjor/article/view/32258