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A Treatise on Conic Sections
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
eBook ISBN: | 978-1-4704-5451-7 |
Product Code: | CHEL/98.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $58.50 |
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A Treatise on Conic Sections
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
eBook ISBN: | 978-1-4704-5451-7 |
Product Code: | CHEL/98.E |
List Price: | $65.00 |
MAA Member Price: | $58.50 |
AMS Member Price: | $58.50 |
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Book DetailsAMS Chelsea PublishingVolume: 98; 1954; 399 ppMSC: Primary 51
Sixth Edition.
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Table of Contents
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FRONT COVER
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CONTENTS
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CHAPTER I
-
THE POINT
-
TRANSFORMATION OF COORDINATES
-
POLAR COORDINATES.
-
CHAPTER II
-
THE RIGHT LINE.
-
CHAPTER III
-
EXAMPLES ON THE RIGHT LINE
-
CHAPTER IV
-
APPLICATION OF ABRIDGED NOTATION TO THE EQUATION OFTHE RIGHT LINE.
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CHAPTER V
-
EQUATIONS ABOVE THE FIRST DEGREE REPRESENTING RIGHT LINE
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CHAPTER VI
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THE CIRCLE
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CHAPTER VII
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THEOREMS AND EXAMPLES ON THE CIRCLE
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CHAPTER VIII
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PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES
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CHAPTER IX
-
APPLICATION OF ABRIDGED NOTATION TO THE EQUATION OF THE CIRCLE
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DETERMINANT NOTATION
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CHAPTER X
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PROPERTIES COMMON TO ALL CURVES OF THE SECOND DEGREE, DEDUCED FROM THE GENERAL EQUATION
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CHAPTER XI
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EQUATIONS OF THE SECOND DEGREE REFERRED TO THE CENTRE AS ORIGIN.
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THE EQUATION REFERRED TO THE AXES
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CONJUGATE DIAMETERS
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THE NORMAL
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THE FOCI
-
CONFOCAL CONICS
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THE ASYMPTOTES
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CHAPTER XII
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THE PARABOLA REDUCTION OF THE EQUATION
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FIGURE OF THE CURVE
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THE TANGENT
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DIAMETERS
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THE NORMAL
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THE FOCUS
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CHAPTER XIII
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EXAMPLES AND MISCELLANEOUS PROPERTIES OF CONIC SECTIONS.
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THE ECCENTRIC ANGLE
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SIMILAR CONIC SECTIONS
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THE CONTACT OF CONIC SECTIONS
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CHAPTER XIV
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METHODS OF ABRIDGED NOTATION.
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ENVELOPES
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GENERAL EQUATION OF THE SECOND DEGREE
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CHAPTER XV
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THE PRINCIPLE OF DUALITY; AND THE METHOD OF RECIPROCAL POLARS
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CHAPTER XVI
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HARMONIC AND ANHARMONIC PROPERTIES OF CONICS
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INVOLUTION
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CHAPTER XVII
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THE METHOD OF PROJECTION
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THEORY OF THE SECTIONS OF A CONE
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CHAPTER XVIII
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INVARIANTS AND COVARIANTS OF SYSTEMS OF CONICS
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CHAPTER XIX
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THE METHOD OF INFINITESIMALS
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NOTES
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INDEX
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BACK COVER
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-
Reviews
-
The classic book on the subject, covering the whole ground and full of touches of genius.
Mathematical Association of America
-
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
-
FRONT COVER
-
CONTENTS
-
CHAPTER I
-
THE POINT
-
TRANSFORMATION OF COORDINATES
-
POLAR COORDINATES.
-
CHAPTER II
-
THE RIGHT LINE.
-
CHAPTER III
-
EXAMPLES ON THE RIGHT LINE
-
CHAPTER IV
-
APPLICATION OF ABRIDGED NOTATION TO THE EQUATION OFTHE RIGHT LINE.
-
CHAPTER V
-
EQUATIONS ABOVE THE FIRST DEGREE REPRESENTING RIGHT LINE
-
CHAPTER VI
-
THE CIRCLE
-
CHAPTER VII
-
THEOREMS AND EXAMPLES ON THE CIRCLE
-
CHAPTER VIII
-
PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES
-
CHAPTER IX
-
APPLICATION OF ABRIDGED NOTATION TO THE EQUATION OF THE CIRCLE
-
DETERMINANT NOTATION
-
CHAPTER X
-
PROPERTIES COMMON TO ALL CURVES OF THE SECOND DEGREE, DEDUCED FROM THE GENERAL EQUATION
-
CHAPTER XI
-
EQUATIONS OF THE SECOND DEGREE REFERRED TO THE CENTRE AS ORIGIN.
-
THE EQUATION REFERRED TO THE AXES
-
CONJUGATE DIAMETERS
-
THE NORMAL
-
THE FOCI
-
CONFOCAL CONICS
-
THE ASYMPTOTES
-
CHAPTER XII
-
THE PARABOLA REDUCTION OF THE EQUATION
-
FIGURE OF THE CURVE
-
THE TANGENT
-
DIAMETERS
-
THE NORMAL
-
THE FOCUS
-
CHAPTER XIII
-
EXAMPLES AND MISCELLANEOUS PROPERTIES OF CONIC SECTIONS.
-
THE ECCENTRIC ANGLE
-
SIMILAR CONIC SECTIONS
-
THE CONTACT OF CONIC SECTIONS
-
CHAPTER XIV
-
METHODS OF ABRIDGED NOTATION.
-
ENVELOPES
-
GENERAL EQUATION OF THE SECOND DEGREE
-
CHAPTER XV
-
THE PRINCIPLE OF DUALITY; AND THE METHOD OF RECIPROCAL POLARS
-
CHAPTER XVI
-
HARMONIC AND ANHARMONIC PROPERTIES OF CONICS
-
INVOLUTION
-
CHAPTER XVII
-
THE METHOD OF PROJECTION
-
THEORY OF THE SECTIONS OF A CONE
-
CHAPTER XVIII
-
INVARIANTS AND COVARIANTS OF SYSTEMS OF CONICS
-
CHAPTER XIX
-
THE METHOD OF INFINITESIMALS
-
NOTES
-
INDEX
-
BACK COVER
-
The classic book on the subject, covering the whole ground and full of touches of genius.
Mathematical Association of America
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.