Apollonius of Perga's Conica : text, context, subtext /
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| Author / Creator: | Fried, Michael N. |
|---|---|
| Imprint: | Leiden ; Boston : Brill, 2001. |
| Description: | xii, 499 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Mnemosyne, bibliotheca classica Batava. Supplementum, 0169-8958 ; 222 Mnemosyne, bibliotheca classica Batava. Supplementum ; 222. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4461080 |
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| 100 | 1 | |a Fried, Michael N. |0 http://id.loc.gov/authorities/names/n2001039055 |1 http://viaf.org/viaf/4277097 | |
| 245 | 1 | 0 | |a Apollonius of Perga's Conica : |b text, context, subtext / |c by Michael N. Fried, Sabetai Unguru. |
| 260 | |a Leiden ; |a Boston : |b Brill, |c 2001. | ||
| 300 | |a xii, 499 p. : |b ill. ; |c 25 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Mnemosyne, bibliotheca classica Batava. Supplementum, |x 0169-8958 ; |v 222 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |g I. |t Geometrical Algebra -- |g A. |t Its Formulation -- |g B.1. |t Its Origins -- |g B.2. |t Strength and Weakness of Geometrical Algebra -- |g C. |t The Influence of "Geometrical Algebra" in the Interpretation of the Conica -- |g II. |t The Elements of Conic Sections in the Framework of Books I-III -- |t Apollonius's Introduction and the General Nature of "Elements" -- |t The Initial Definitions -- |t The Definitions of the Conic Sections and the Symptomata -- |t A Second Look at the Algebraic Interpretation of The Elements of Conics -- |t Symptomata and Equations -- |t The Locus Problem -- |t Intentiones Primae and Intentiones Secundae -- |t The Place of Diameters -- |g III. |t Book IV of the Elements of Conic Sections: How Conic Sections Meet in the Plane -- |t The Investigation of Opposite Sections -- |t How Conic Sections Meet in a Plane -- |t Digression: Descartes' Treatment of Cutting and Touching in La Geometrie -- |t The Possibility of Different Conic Sections in One Plane -- |g IV. |t Maximum and Minimum Lines: Book V of the Conica -- |t The Conventional View: Normals as Maxima and Minima -- |t The Importance of Normals -- |t The Evolute -- |t Maximum and Minimum Lines as Longest and Shortest Lines -- |t Neusis-like Constructions -- |g V. |t Equality and Similarity: Book VI of the Conica -- |t Equality -- |t Similarity -- |t Equality and Similarity -- |t The Constructions -- |g VI. |t Diorismic Theorems and the Use of Analogy: Book VII of the Conica -- |t Diorismoi and Diorismic Theorems -- |t A Glance at Halley's Book VIII -- |t The Diorismic Theorems of Book VII -- |t Images of Diameters and Latera Recta -- |g VII. |t Once Again, the use of Analogy in Apollonius: Conics and Circles -- |t The Tangent and the Asymptote: An "Internal" Analogy in the Conica -- |t Circles and Conic Sections -- |g VIII. |t The Conica as an Integral Whole: Elementary and Non-Elementary Books -- |t Was the Conica Written as One book? -- |t Elementary and Advanced Books: The Basic Division in the Conica -- |g IX. |t Some Circumscribed Reflections on the Historiography of Hellenistic Mathematics -- |g App. |t English Translation of Book IV. |
| 600 | 0 | 0 | |a Apollonius, |c of Perga. |t Conics. |0 http://id.loc.gov/authorities/names/n2001039056 |1 http://viaf.org/viaf/178750681 |
| 650 | 0 | |a Mathematics, Greek. |0 http://id.loc.gov/authorities/subjects/sh85082177 | |
| 650 | 0 | |a Conic sections |v Early works to 1800. | |
| 630 | 0 | 7 | |a Conics (Apollonius, of Perga) |2 fast |0 http://id.worldcat.org/fast/fst01360408 |
| 650 | 7 | |a Conic sections. |2 fast |0 http://id.worldcat.org/fast/fst00875241 | |
| 650 | 7 | |a Mathematics, Greek. |2 fast |0 http://id.worldcat.org/fast/fst01012363 | |
| 655 | 7 | |a Early works. |2 fast |0 http://id.worldcat.org/fast/fst01411636 | |
| 700 | 1 | |a Unguru, Sabetai. |0 http://id.loc.gov/authorities/names/n84225460 |1 http://viaf.org/viaf/92552710 | |
| 830 | 0 | |a Mnemosyne, bibliotheca classica Batava. |p Supplementum ; |v 222. | |
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