During the Hellenistic and Roman periods, tables were extensively employed in Graeco-Roman astronomy to present structured, quantitative astronomical data for reference, calculation, and display of patterns of data. Media for tables included papyrus, in roll or codex format, wooden boards, and occasionally inscriptions. Aside from their didactic function in writings on theoretical astronomy such as Ptolemy’s Almagest, the chief practical applications of astronomical tables were in astrology. Tables for calculating celestial positions and phenomena of the heavenly bodies represented two distinct traditions: an originally Babylonian tradition based on arithmetical operations and a Greek tradition, best known from Ptolemy’s works, based on trigonometry relating to geometrical theories for the motions of the Sun, Moon, and planets. Both traditions made use of sexagesimal place-value notation. Additionally, almanacs and calendrically structured ephemerides presented celestial positions calculated over long spans of dates as a convenient tool for horoscopy and the astrological evaluation of days.
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Callimachus was a Greek poet and scholar who flourished in the first half of the 3rd century
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Ptolemy III Euergetes (“Benefactor”) I, king of Egypt, early 246–February 221
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Nathan Camillo Sidoli
The development of trigonometry as a branch of mathematics was a combined effort of mathematical scholars working in a number of different languages and cultures, over many centuries. The first texts containing trigonometric computations are found in Greek sources, although these do not contain the trigonometric functions we now use. The introduction of the trigonometric functions is found in Sanskrit sources, and scholars working in Arabic composed the first works devoted entirely to trigonometry, adopting and expanding on the work of their Greek and Sanskrit sources. The word trigonometry itself was a neologism of Latin scholars, whose treatises developed this field as an independent branch of mathematics, adopting and extending previous Arabic works.
Trigonometry was not regarded as an independent branch of mathematics in the ancient period—the word itself is an early modern neologism and does not translate any ancient expression. Ancient Mesopotamian and Egyptian sources—which do not introduce angles—appear to have handled the mensuration of triangles, and slopes, through the ratios of the sides of normalized triangles. The preserved texts of these cultures contain some tables that might be regarded as trigonometric, but computations that are clearly trigonometric have not yet been found in these texts.
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Noah Hacham
The short book of 3 Maccabees, written in Egypt in the Hellenistic or Roman period and almost unknown in antiquity, records king Ptolemy Philopator’s (221–204
While the book’s historical credibility regarding these events is dubious, it should be seen as an important historical source for the life of Egyptian Jewry and the challenges that it faced during the Hellenistic-Roman period. The book has a discernible four-faceted agenda: (a) Jews are loyal both to their God and to the king, although they cannot be confident of the king’s goodwill toward them; (b) the God of Israel is the Jews’ protector and savior; (c) He also revealed Himself in the Diaspora, far away from the Jerusalemite Temple. The book is also (d) an anti-Dionysiac polemic.
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Sylvie Honigman
The Letter of Aristeas is a literary work composed in Greek that narrates the legendary origins of the Septuagint. Scholars date the work to between the 3rd century