【内容提要】
本书是约瑟夫·雷伊的经典图书，包括高级代数与解析几何。本书以美国中学课本为基础，详细介绍了中学几何的一些知识点，还配有相应的例题、习题并给出了详细的解答，本书适合初、高中学生及教师参考阅读。
【目 录】
INTRODUCTION：THE NATURE，DIVISIONS，AND METHOD OF ANALYTIC GEOMETRY
I.ITS NATURE，DIVISIONS AND METHOD//3
II.DETERMINATE CEOMETRY//4
III.INDETERMINATE GEOMETRY//27
BOOK I PLANE COORDINATIES
PART I.THE REPRESENTATION OF FORM BY ANALYTICSYMBOLS//53
CHAPTER 1.THE OLDER GEOMETRY：BILINEAR AND POLAR CO-ORDINATES//54
I.THE POINT//54
II.THE RIGHT LINE//88
III.PAIRS OF RIGHT LINES//147
IV.THE CIRCLE//157
V.THE ELLIPSE//168
VI.THE HYPERBOLA//191
VII.THE PARABOLA//205
VIII.LOCUS OF SECOND ORDER IN GENERAL//219
CHAPTER 2.THE MODERN GEOMETRY：TRILINEAR AND TANGENTIAL CO-ORDINATES//226
I.TRILINEAR CO-ORDINATES//226
II.TANCENTIAL CO-ORDINATES//254
PART II.THE PROPERTIES OF CONICS.
CHAPTER 1.THE RIGHT LINE//278
CHAPYER 2.THE CIRCLE//294
CHAPTER 3.THE ELLIPSE//339
I.THE CURVE REFERRED TO ITS AXES //339
II.THE CURVE REFERBED TO ANY TWO CONJUCATES//384
III.THE CURVE REFERRED TO ITS FOCI//406
IV.AREA OF THE ELLIPSE//409
CHAPTER 4.THE HYPERBOLA//415
I.THE CURVE REFERRED TO ITS AXES//415
II.THE CURVE REFERIIED TO ANY TWO CONJUCATES//457
III.THE CURVE REFERRED TO ITS FOCI//473
IV.THE CURVE REFERRED TO ITS ASYMPTOTES//474
V.AREA OF THE HYPERBOLA//488
CHAPTER 5.THE PARABOLA//493
I.THE CURVE REFERRED TO ITS AXIS AND VERTEX//493
II.THE CURVE IN TERMS OF ANY DIAMETER//519
III.THE CURVE REFERRED TO ITS FOUCS//534
IV.AREA OF THE PARABOLA//535
CHAPTER 6.THE CONIC IN GENERAL//540
BOOK II CO-ORDINATES IN SPACE
CO-ORDINATES IN SPACE//585
CHAPTER 1.THE POINT//585
CHAPTER 2.LOCUS OF FIRST ORDER IN SPACE//598
CHAPTER 3.LOCUS OF SECOND ORDER IN SPACE//616
编辑手记//650