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The French mathematician and historian of science Paul Tannery (1843-1904) worked as an administrator in the state tobacco industry while researching and publishing on a wide variety of topics, including editions of Fermat and Descartes as well as of the Greek mathematician Diophantus of Alexandria. This 1893 work reviews the history of ancient Greek astronomy, beginning with a survey of what the Greeks actually meant by the use of the terms 'astronomy' and 'astrology', and going on to consider the work of Pythagoras and the other pre-Socratics, Aristotle and the Alexandrian mathematicians. At its core is a detailed analysis of Claudius Ptolemy's Almagest, which attempts to trace each of the Greek master's theories - on the sphericity and circumference of the earth, on the sun, moon and planets, and on the prediction of eclipses - back to its historical origins in Greek mathematical and philosophical thought.

Ptolemy, Active 2Nd Century --- Astronomy --- Science

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Scythians --- Asia, Central --- Herodotus --- Ptolemy, --- Scythians. --- Asia, Central. --- Hérodote, --- Ptolémée, Claude, --- Herodotus. --- Critique textuelle --- Ptolemy, - active 2nd century --- Hérodote, --- Ptolémée, Claude,

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Ptolemy's comprehensive treatises on astronomy and geography were influential for nearly two millennia. Equally influential was his treatise on harmonics, the ancient science which combined and brought to completion the study of philosophy and science. This volume offers a comprehensive English translation and commentary of Ptolemy's Harmonics . The treatise begins with Ptolemy's study of pitches and intervals, for which he extracts both an idealized musical scale and a new acoustical tool. After discussing modulation, he expands his horizons by applying musical intervals to the human soul and celestial bodies, ultimately describing a cosmic harmony. The English translation faithfully reproduces Ptolemy's style and includes all the charts surviving in the manuscript tradition. The commentary offers a full exegesis of the text, loci paralleli, and citations of modern scholarly sources.

Greek music --- Intervalles et échelles musicales --- Music [Greek ](Ancient) --- Music [Greek and Roman ] --- Music [Roman ] --- Musical intervals and scales --- Musique grecque (Ancienne) --- Musique grecque et romaine --- Musique romaine --- Muziek [Griekse ](Oude) --- Muziek [Griekse en Romeinse ] --- Muziek [Romeinse ] --- Muzikale intervallen en toonladders --- Music, Greek and Roman --- Music theory --- Théorie musicale --- Early works to 1800 --- Ouvrages avant 1800 --- Ptolemy, --- History and criticism --- -Music theory --- Music --- Musical theory --- Theory of music --- Music, Greek (Ancient) --- Music, Roman --- Roman music --- Theory --- Ptolemy --- Théorie musicale --- Ptolemaeus, Claudius. --- History --- To 500 --- 78.63 --- 78.81 --- 78.86.1 --- 78.60.1 Ptolemy --- Music, Greek and Roman - History and criticism - Early works to 1800 --- Music theory - Early works to 1800 --- Ptolemy, - active 2nd century - Harmonics --- Music, Greek and Roman. --- Music theory. --- Harmonics (Ptolemy) --- Harmonica (Ptolemaeus, Claudius) --- Harmonielehre des Klaudios Ptolemaios (Ptolemy)