Edmond Halley's Reconstruction of the Lost Book of by Michael N. Fried PDF

By Michael N. Fried

ISBN-10: 1461401453

ISBN-13: 9781461401452

Apollonius’s Conics was once one of many maximum works of complex arithmetic in antiquity.  The paintings comprised 8 books, of which 4 have come all the way down to us of their unique Greek and 3 in Arabic.  by the point the Arabic translations have been produced, the 8th booklet had already been misplaced. In 1710, Edmond Halley, then Savilian Professor of Geometry at Oxford, produced an version of the Greek textual content of the Conics of Books I-IV, a translation into Latin from the Arabic types of Books V-VII, and a reconstruction of e-book VIII.  

The current paintings presents the 1st complete English translation of Halley’s reconstruction of publication VIII with supplementary notes at the textual content.  It additionally includes 1) an advent discussing facets of Apollonius’s Conics 2) an research of Edmond Halley's realizing of the nature of his enterprise into historical arithmetic, and three) an appendices giving a short account of Apollonius’s method of conic sections and his mathematical techniques.

This publication can be of curiosity to scholars and researchers drawn to the background of ancient Greek mathematics and arithmetic within the early smooth period.

Show description

Read or Download Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary (Sources and Studies in the History of Mathematics and Physical Sciences) PDF

Best astronomy books

Get Coming of Age in the Milky Way PDF

From the second-century celestial types of Ptolemy to modern day study institutes and quantum idea, this vintage publication deals a panoramic travel of astronomy and the bright, eccentric personalities who've formed it. From the 1st time mankind had an inkling of the gigantic house that surrounds us, those that examine the universe have needed to fight opposed to political and non secular preconceptions.

Download e-book for kindle: Herschel 400 Observing Guide by Stephen James O'Meara

The Herschel four hundred is a listing of four hundred galaxies, nebulae, and celebrity clusters, picked from over 2,500 deep-sky gadgets stumbled on and catalogued by way of the nice eighteenth-century astronomer Sir William Herschel and his sister Caroline. It includes 231 galaxies, 107 open clusters, 33 globular clusters, 20 planetary nebulae, 2 halves of a unmarried planetary nebula, and seven vibrant nebulae.

Aprender Astronomía con 100 ejercicios prácticos by Jordi Lopesino PDF

¿Le atrae el cielo nocturno? ¿Le gustaría observarlo, an easy vista o con telescopio, pero no sabe por dónde empezar? Este es el libro de astronomía que estaba buscando. Cien temas diferentes, cien ejercicios prácticos para convertirse en un astrónomo experto. become aware of el cielo an easy vista, con prismáticos, con telescopios, con cámaras CCD?

Read e-book online Theaters Of Time And Space: American Planetaria, 1930-1970 PDF

"March? rigorously exhibits how neighborhood and nationwide pursuits produced the 1st 5 significant American planetarium theaters—in Chicago, Philadelphia, l. a., big apple, and Pittsburgh—as good as hundreds and hundreds of smaller ones—in Pennsylvania colleges and in different destinations round the nation. The hundreds of thousands of people that have came across schooling or leisure in a planetarium will locate nice historical past studying in Theaters of Time and house!

Extra resources for Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary (Sources and Studies in the History of Mathematics and Physical Sciences)

Example text

By translating and editing existing mathematical works of Apollonius and reconstructing the lost works, Halley was engaging Apollonius in a kind of conversation, such as Halley relished at Jonathan’s, Garraway’s, and other coffee houses he frequented. In the reconstruction of Book VIII, this sense of dialogue can be felt not only in its explicit appeals to Apollonius, described above, but also in frequent additions to problems that are unmistakably in Halley’s own voice. 5, 6, 7, 8, 9, 10, 11, 12, 14, 23, 24, 26.

It may be because of Halley’s ability to listen to other voices from other times and to appreciate how even an ancient treatment of a problem may be useful and enlightening that he was such a good mediator for science. An instance of mediation pertinent for the present discussion, if only as an image, was Halley’s visit, at the behest of the Royal Society, to the astronomer Johann Hevelius of Danzig in 1679. At issue was a dispute that had begun some years before, mainly between Robert Hooke and Hevelius, in which Hooke had criticized Hevelius severely for his use of open69 instead of telescopic sights in measuring star positions.

6436 for ( 2-1) (in problem 31). These numerical results are surely not the “Great Geometer” speaking, but Halley, who loves to measure and calculate, speaking to him. It is worth noting too that, as one might guess by the remarks referring to the preface of Cutting-off of a Ratio (1706) above, Halley’s approach to the Conics in 1710 was not significantly different from his approach in that earlier work of 1706. In the Cutting-off of a Ratio, naturally, the additions are set off from the text as scholia rather than incorporated directly into the text.

Download PDF sample

Edmond Halley's Reconstruction of the Lost Book of Apollonius's Conics: Translation and Commentary (Sources and Studies in the History of Mathematics and Physical Sciences) by Michael N. Fried

by Richard

Rated 4.64 of 5 – based on 24 votes