Conic Sections Treated Geometrically by W. H. Besant

CONTENTS.
page
Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
CHAPTER I.
The Construction of a Conic Section, and General
Properties . . . . . . . . . . . . . . . . . . . . . . . . . . 3
CHAPTER II.
The Parabola . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
CHAPTER III.
The Ellipse . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
CHAPTER IV.
The Hyperbola . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
CHAPTER V.
The Rectangular Hyperbola . . . . . . . . . . . . . . . . . . 125
CHAPTER VI.
The Cylinder and the Cone . . . . . . . . . . . . . . . . . . 135
CHAPTER VII.
The Similarity of Conics, the Areas of Conics, and
the Curvatures of Conics . . . . . . . . . . . . . . . 152
CHAPTER VIII.
Orthogonal Projections . . . . . . . . . . . . . . . . . . . . . 165
CHAPTER IX.
Of Conics in General . . . . . . . . . . . . . . . . . . . . . . . 174
CHAPTER X.
Ellipses as Roulettes and Glissettes . . . . . . . . . . . . 181
Miscellaneous Problems. I . . . . . . . . . . . . . . . . . . . 189
CHAPTER XI.
Harmonic Properties, Poles and Polars . . . . . . . . . . 199
CHAPTER XII.
Reciprocal Polars . . . . . . . . . . . . . . . . . . . . . . . . . 217
CHAPTER XIII.
The Construction of a Conic from Given Conditions. 231
CHAPTER XIV.
The Oblique Cylinder, the Oblique Cone, and the
Conoids . . . . . . . . . . . . . . . . . . . . . . . . . . . 245
CHAPTER XV.
Conical Projection . . . . . . . . . . . . . . . . . . . . . . . . 257
Miscellaneous Problems. II . . . . . . . . . . . . . . . . . . 269