Theon of *Alexandria (1) (fl. 364
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G. J. Toomer
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J. T. Vallance
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J. T. Vallance
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A. T. Grafton
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G. J. Toomer and Alexander Jones
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Nicholas Purcell
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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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Edward Togo Salmon and Nicholas Purcell
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Liliane Bodson
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Antony Spawforth
Vettius Valens, Greek astrologer from *Antioch(1), wrote (between 152
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Richard Allan Tomlinson and J. T. Vallance
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J. T. Vallance
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Liba Taub
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Sophia Connell
Women were involved in both practical and theoretical aspects of scientific endeavour in the ancient world. Although the evidence is scant, it is clear that women innovated techniques in textile manufacture, metallurgy, and medical sciences. The most extensive engagement of women in science was in medicine, including obstetrics, gynaecology, pharmacology, and dermatology. The evidence for this often comes from male medical writers. Women were also involved in the manufacture of gold alloys, which interested later alchemists. Maria of Alexandria innovated equipment and techniques while also theorizing about chemical change. Many of the works ascribed to women in antiquity were not written by women. However, they do indicate what sorts of sciences were taken to be the province of women.
Scientific achievements are not the result of individual genius. Science has been a collective endeavour, involving the whole structure of society. The ancient world is no exception to this. Indeed, what is known about the desire for knowledge and control of the physical world indicates that the ways in which Greeks and Romans pursued it were various and diverse, and included the thoughts and activities of many women.
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William David Ross
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Heinrich von Staden
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G. J. Toomer
Zenodorus, mathematician (fl. 200