Book contents
- Frontmatter
- Preface
- LIST OF PRINCIPAL AUTHORITIES
- Contents
- PART I THE EARLIER HISTORY OF CONIC SECTIONS AMONG THE GREEKS
- PART II INTRODUCTION TO THE CONICS OF APOLLONIUS
- THE CONICS OF APOLLONIUS
- THE CONE
- THE DIAMETER AND ITS CONJUGATE
- TANGENTS
- PROPOSITIONS LEADING TO THE REFERENCE OF A CONIC TO ANY NEW DIAMETER AND THE TANGENT AT ITS EXTREMITY
- CONSTRUCTION OF CONICS FROM CERTAIN DATA
- ASYMPTOTES
- TANGENTS, CONJUGATE DIAMETERS AND AXES
- EXTENSIONS OF PROPOSITIONS 17–19
- RECTANGLES UNDER SEGMENTS OF INTERSECTING CHORDS
- HARMONIC PROPERTIES OF POLES AND POLARS
- INTERCEPTS MADE ON TWO TANGENTS BY A THIRD
- FOCAL PROPERTIES OF CENTRAL CONICS
- THE LOCUS WITH RESPECT TO THREE LINES ETC
- INTERSECTING CONICS
- NORMALS AS MAXIMA AND MINIMA
- PROPOSITIONS LEADING IMMEDIATELY TO THE DETERMINATION OF THE EVOLUTE
- CONSTRUCTION OF NORMALS
- OTHER PROPOSITIONS RESPECTING MAXIMA AND MINIMA
- EQUAL AND SIMILAR CONICS
- PROBLEMS
NORMALS AS MAXIMA AND MINIMA
Published online by Cambridge University Press: 05 October 2014
- Frontmatter
- Preface
- LIST OF PRINCIPAL AUTHORITIES
- Contents
- PART I THE EARLIER HISTORY OF CONIC SECTIONS AMONG THE GREEKS
- PART II INTRODUCTION TO THE CONICS OF APOLLONIUS
- THE CONICS OF APOLLONIUS
- THE CONE
- THE DIAMETER AND ITS CONJUGATE
- TANGENTS
- PROPOSITIONS LEADING TO THE REFERENCE OF A CONIC TO ANY NEW DIAMETER AND THE TANGENT AT ITS EXTREMITY
- CONSTRUCTION OF CONICS FROM CERTAIN DATA
- ASYMPTOTES
- TANGENTS, CONJUGATE DIAMETERS AND AXES
- EXTENSIONS OF PROPOSITIONS 17–19
- RECTANGLES UNDER SEGMENTS OF INTERSECTING CHORDS
- HARMONIC PROPERTIES OF POLES AND POLARS
- INTERCEPTS MADE ON TWO TANGENTS BY A THIRD
- FOCAL PROPERTIES OF CENTRAL CONICS
- THE LOCUS WITH RESPECT TO THREE LINES ETC
- INTERSECTING CONICS
- NORMALS AS MAXIMA AND MINIMA
- PROPOSITIONS LEADING IMMEDIATELY TO THE DETERMINATION OF THE EVOLUTE
- CONSTRUCTION OF NORMALS
- OTHER PROPOSITIONS RESPECTING MAXIMA AND MINIMA
- EQUAL AND SIMILAR CONICS
- PROBLEMS
Summary
- Type
- Chapter
- Information
- Treatise on Conic SectionsEdited in Modern Notation with Introductions, Including an Essay on the Earlier History of the Subject, pp. 139 - 167Publisher: Cambridge University PressPrint publication year: 2013