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Ptolemy's contribution to the science of Trigonometry — are many, among them a theorem that was central to Ptolemy's calculation of chords was what is still known today as Ptolemy's theorem, that the sum of the products of the opposite sides of a cyclic quadrilateral is equal to the product of the diagonals.
Also in 2016, Quizlet launched "Quizlet Live", a real-time online matching game where teams compete to answer all 12 questions correctly without an incorrect answer along the way. [15] In 2017, Quizlet created a premium offering called "Quizlet Go" (later renamed "Quizlet Plus"), with additional features available for paid subscribers.
The Ptolemaic system of celestial motion as depicted in the Harmonia Macrocosmica (1661). Science in classical antiquity encompasses inquiries into the workings of the world or universe aimed at both practical goals (e.g., establishing a reliable calendar or determining how to cure a variety of illnesses) as well as more abstract investigations belonging to natural philosophy.
Ptolemy I and other early rulers of the dynasty were not married to their relatives, the childless marriage of siblings Ptolemy II and Arsinoe II [22] being an exception. The first child-producing incestuous marriage in the Ptolemaic dynasty was that of Ptolemy IV and Arsinoe III , who were succeeded as co-pharaohs by their son Ptolemy V , born ...
An edition in Latin of the Almagestum in 1515. The Almagest (/ ˈ æ l m ə dʒ ɛ s t / AL-mə-jest) is a 2nd-century mathematical and astronomical treatise on the apparent motions of the stars and planetary paths, written by Claudius Ptolemy (c. AD 100 – c. 170) in Koine Greek. [1]
A 16th-century engraving of Ptolemy. Ptolemy's Optics is a 2nd-century book on geometrical optics, dealing with reflection, refraction, and colour. The book was most likely written late in Ptolemy's life, after the Almagest, during the 160s. [1] The work is of great importance in the early history of optics. The Greek text has been lost completely.
Corrections were made to Ptolemy's geocentric model by al-Battani, Ibn al-Haytham, [156] Averroes and the Maragha astronomers such as Nasir al-Din al-Tusi, Mu'ayyad al-Din al-Urdi and Ibn al-Shatir. [157] [158] Scholars with geometric skills made significant improvements to the earlier classical texts on light and sight by Euclid, Aristotle ...
Ptolemy XI was succeeded by a son of Ptolemy IX, Ptolemy XII Neos Dionysos, nicknamed Auletes, the flute-player. By now Rome was the arbiter of Egyptian affairs, and annexed both Libya and Cyprus . In 58 BC Auletes was driven out by the Alexandrian mob, but the Romans restored him to power three years later.