9789004119772 - apollonius of perga's conica: text, context, subtext (mnemosyne, supplements) von fried, michael; unguru, sabetai (1 Ergebnisse)
Apollonius of Perga's Conica : text, context, subtext. By Michael N. Fried, Sabetai Unguru
Fried, Michael N.; Unguru, Sabetai (ed.); Apollonius Pergaeus, A. of Perga (auth.)
Sprache: Englisch
Verlag: Brill Academic Publishers, Leiden, Boston, 2001., 2001
- Hardcover
Anbieter: Antiquariat Stefan Wulf, Berlin, DeutschlandAntiquariat Stefan Wulf
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Large octavo (245 x 165 mm), publisher's illustrated hardcover, XII, 499 (+1) pp., with numerous schematic b/w-illustrations in the text, previous owner's stamp to front fly leaf (Exlibris H. S. Versnel), a well preserved copy. [MnS - Mnemosyne Supplements; 222]. - ISBN: 9004119779. - Contents/Inhalt : I. Geometrical Algebra --…A. Its Formulation -- B.1. Its Origins -- B.2. Strength and Weakness of Geometrical Algebra -- C. The Influence of "Geometrical Algebra" in the Interpretation of the Conica -- II. The Elements of Conic Sections in the Framework of Books I-III -- Apollonius's Introduction and the General Nature of "Elements" -- The Initial Definitions -- The Definitions of the Conic Sections and the Symptomata -- A Second Look at the Algebraic Interpretation of The Elements of Conics -- Symptomata and Equations -- The Locus Problem -- Intentiones Primae and Intentiones Secundae -- The Place of Diameters -- III. Book IV of the Elements of Conic Sections: How Conic Sections Meet in the Plane -- The Investigation of Opposite Sections -- How Conic Sections Meet in a Plane -- Digression: Descartes' Treatment of Cutting and Touching in La Geometrie -- The Possibility of Different Conic Sections in One Plane -- IV. Maximum and Minimum Lines: Book V of the Conica -- The Conventional View: Normals as Maxima and Minima -- The Importance of Normals -- The Evolute -- Maximum and Minimum Lines as Longest and Shortest Lines -- Neusis-like Constructions -- V. Equality and Similarity: Book VI of the Conica -- Equality -- Similarity -- Equality and Similarity -- The Constructions -- VI. Diorismic Theorems and the Use of Analogy: Book VII of the Conica -- Diorismoi and Diorismic Theorems -- A Glance at Halley's Book VIII -- The Diorismic Theorems of Book VII -- Images of Diameters and Latera Recta -- VII. Once Again, the use of Analogy in Apollonius: Conics and Circles -- The Tangent and the Asymptote: An "Internal" Analogy in the Conica -- Circles and Conic Sections -- VIII. The Conica as an Integral Whole: Elementary and Non-Elementary Books -- Was the Conica Written as One book? -- Elementary and Advanced Books: The Basic Division in the Conica -- IX. Some Circumscribed Reflections on the Historiography of Hellenistic Mathematics -- App. English Translation of Book IV. Appendix: p. [413]-485.; Includes bibliographical references (p. [487]-494) and index. ||| Apollonius, of Perga. Conics; Mathematics, Greek; Conic sections Early works to 1800 - Apollonius von Perge. Konische; Mathematik, Griechisch; Konische Abschnitte Frühe Werke bis 1800 - [00B | SOD | oR ] 1010 g.
