Download E-books A Survey of the Almagest: With Annotation and New Commentary by Alexander Jones (Sources and Studies in the History of Mathematics and Physical Sciences) PDF

The Almagest, through the Greek astronomer and mathematician Ptolemy, is crucial surviving treatise on early mathematical astronomy, providing historians worthy perception into the astronomy and arithmetic of the traditional world.

Pedersen's 1974 book, A Survey of the Almagest, is the newest in a protracted culture of partners to the Almagest. half paraphrase and half statement, Pedersen's paintings has earned the common compliment of historians and serves because the definitive introductory textual content for college kids drawn to learning the Almagest.

during this revised variation, Alexander Jones, a unusual authority at the historical past of early astronomy, presents supplementary details and observation to the unique textual content to account for scholarship that has seemed due to the fact 1974. This revision additionally contains quite a few corrections to Pedersen's unique textual content which have been pointed out considering that its publication.

This quantity is meant to supply scholars of the heritage of astronomy with a self-contained creation to the Almagest, supporting them to appreciate and take pleasure in Ptolemy's nice and classical paintings.

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Read Online or Download A Survey of the Almagest: With Annotation and New Commentary by Alexander Jones (Sources and Studies in the History of Mathematics and Physical Sciences) PDF

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Ahead of coming into upon info a couple of normal renlarks are known as for. hence it's a notable undeniable fact that the Almagest doesn't outline the basic notion of round astronomy. for that reason, it includes no 'spherica' within the feel during which this thought had turn into universal in Greek astronomical literature (see above, web page 73). the topic isn't constructed from its starting, nor awarded in an axiomatic approach. to the contrary, Ptolemy assumes his readers to be accustomed to the definitions of the traditional circles and coordinates of the celestial sphere, most likely from the research of such manuals as have been pointed out within the earlier chapters. besides the fact that, he doesn't check with any specific paintings via Autolycus, Euclid, or Theodosius, yet concentrates upon what could be extra to such introductory writings through spherical-trigonometrical equipment. truly, publication II of the Almagest is goal. ost completely dedicated to exhibiting how identified geometrical propositions in round astronomy will be subjected to numerical calculation. there's no doubt that a few of this paintings is going again to Hipparchus, and it truly is tricky to split Ptolemy's personal achievements from these of his nice predecessors. Such calculations often contain a couple of variables a few of that are exact with celestial coordinates as used to-day. the following we needs to keep in mind that the Almagest is essentially an exposition of planetary idea, describing the motions of the planets through geometrical types. when you consider that these types of motions happen within the neighbourhood of the ecliptic we comprehend why the ecliptic longitude (in the next denoted via A) and the ecliptic range (denoted via ~) are the coordinates most generally utilized by Ptolemy. much less basic are coordinates bearing on the celestial equator (declination, correct and indirect ascension) or to the horizon. ninety four O. Pedersen, A Survey of the Almagest, resources and stories within the background of arithmetic and actual Sciences, DOI 10. 1007/978-0-387-84826-6_4, © Springer Science+Business Media, LLC 2011 The round astronomy of the Almagest is gifted within the type of a chain of difficulties crucial of which we've got numbered from 1 to eleven. they are often classed less than 4 headings: A: B: C: D: Transformation of coordinates (1-3) Astronomical geography (4-7) emerging and atmosphere of the celebrities (8) The immediate place of the ecliptic (9-11) within the figures utilized in the next we now have, mostly, retained the Greek letters utilized by Ptolemy to indicate issues and contours. within the Almagest the heavenly sphere and its circles are drawn in lots of methods, yet Ptolemy usually attracts them as noticeable from the East. A: Transformation of Coordinates challenge 1: to discover the declination of some degree at the ecliptic. this is often the 1st of the issues in round astronomy handled within the Almagest [I, 14; Hei 1, 76]. It presupposes that we all know the zero bliq uity eight of the ecliptic, i. e. the attitude among the ecliptic and the celestial equator. In a prior bankruptcy [I, 12; Hei 1, sixty four] Ptolemy has defined how this parameter will be measured!

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