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by of Perga Apollonius

Download On Cutting Off a Ratio fb2, epub

ISBN: 0931267005
Author: of Perga Apollonius
Language: English
Publisher: Golden Hind Pr (June 1, 1987)
Subcategory: Other
Rating: 4.9
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Apollonius of Perga was a Greek geometer and astronomer known for his theories on the topic of conic sections

Apollonius of Perga was a Greek geometer and astronomer known for his theories on the topic of conic sections. Beginning from the theories of Euclid and Archimedes on the topic, he brought them to the state they were in just before the invention of analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. Apollonius worked on many other topics, including astronomy. Most of the work has not survived except in fragmentary references in other authors

Apollonius of Perga, mathematician, known by his contemporaries as. .It is with Books V–VII, however, that Apollonius demonstrates his originality. The only other extant work of Apollonius is Cutting Off of a Ratio, in an Arabic translation.

Apollonius of Perga, mathematician, known by his contemporaries as the Great Geometer, whose treatise Conics is one of the greatest scientific works from the ancient world. His genius is most evident in Book V, in which he considers the shortest and the longest straight lines that can be drawn from a given point to points on the curve The only other extant work of Apollonius is Cutting Off of a Ratio, in an Arabic translation.

On Cutting Off a Ratio An Attempt to Recover the Original Argumentation through a Critical Translation of the Two Extant Medieval Arabic Manuscripts, transl. Kegelsnitlaeren in Oltiden, Kongelige Danske Videnskabernes Selskabs Skrifter, 6th ser. Georg Hieronymus. Ibn Sinān's text deals with two distinct, though closely related, subjects. First he considers the classification of problems, founded on the logical criteria which are the number and degree of indetermination of the solutions and (though in a less relevant way) the number of hypotheses and their possible independence.

On Cutting Off a Ratio book. Apollonius of Rhodes (Ancient Greek: Ἀπολλώνιος Ῥόδιος Apollṓnios Rhódios; Latin: Apollonius Rhodius; fl. first half of 3rd century BCE), is best known as the author of the Argonautica, an epic poem about Jason and the Argonauts and their quest for the Golden Fleece.

The only other extant work of Apollonius is Cutting Off of a Ratio (or On Proportional Section), in an Arabic translation. Pappus mentions five additional works, Cutting off an Area (or On Spatial Section), On Determinate Section, Tangencies, and Plane Loci.

Bibliographic Details. Title: Apollonius of Perga on Cutting Off a Ratio:. Publisher: Annapolis: Golden Hind Press, 1987. Publication Date: 1988. List this Seller's Books.

Filed Under: Essays Tagged With: scientists. Pappus mentions five additional. Apollonius was a great mathematician, known by his contempories as The Great. Geometer, whose treatise Conics is one of the greatest scientific works from the ancient world. The only other extant work of Apollonius is Cutting Off of a. Ratio ( or On Proportional Section ), in an Arabic translation. works, Cutting off an Area ( or On Spatial Section ), On Determinate Section, Tangencies, and. Plane Loci. Tangencies embraced the following general problem : given three things, each of which.

Apollonius of Perga (ca 250 .

English translation by Boris Rosenfeld The Pennsylvania State University. Apollonius of Perga (ca 250 . was one of the greatest mathematicians of antiquity. During 1990 - 2002 first English translations of Apollonius’ main work Conics were published. These translations (Books 1-3), (Book 4), (Books5-7) are very different.

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APOLLONIUS OF PERGA, Greek geometer of the Alexandrian . όγου ἀποτομή, Cutting off a Ratio; 2nd, Χωρίου ἀποτομή, Cutting of an Area; 3rd, Διωρισμένη τομή, Determinate Section; 4t.

APOLLONIUS OF PERGA, Greek geometer of the Alexandrian school, was probably born some twenty-five years later than Archimedes, . He flourished in the reigns of Ptolemy Euergetes and Ptolemy Philopator (247–205 . Λόγου ἀποτομή, Cutting off a Ratio; 2nd, Χωρίου ἀποτομή, Cutting of an Area; 3rd, Διωρισμένη τομή, Determinate Section; 4th, Έπαφαί, Tangencies; 5th, Νεύσεις, Inclinations; 6th, Τόποι ἐπίπεδοι, Plane Loci.

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