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• catalog contributor b12166288.
• catalog contributor b12166289.
• catalog created "2001.".
• catalog date "2001".
• catalog date "2001.".
• catalog dateCopyrighted "2001.".
• catalog description "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.".
• catalog description "Includes bibliographical references (p. [487]-494) and index.".
• catalog extent "xii, 499 p. :".
• catalog hasFormat "Apollonius of Perga's Conica.".
• catalog identifier "9004119779 (alk. paper)".
• catalog isFormatOf "Apollonius of Perga's Conica.".
• catalog isPartOf "Mnemosyne, bibliotheca classica Batava. Supplementum, 0169-8958 ; 222".
• catalog issued "2001".
• catalog issued "2001.".
• catalog language "eng".
• catalog publisher "Leiden ; Boston : Brill,".
• catalog relation "Apollonius of Perga's Conica.".
• catalog subject "516/.15 21".
• catalog subject "Apollonius, of Perga. Conics.".
• catalog subject "Apollonius, of Perga. Kōnika.".
• catalog subject "Conic sections Early works to 1800.".
• catalog subject "Mathematics, Greek.".
• catalog subject "QA31 .F75 2001".
• catalog tableOfContents "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.".
• catalog title "Apollonius of Perga's Conica : text, context, subtext / by Michael N. Fried, Sabetai Unguru.".
• catalog type "Early works. fast".
• catalog type "text".