這本《美國(guó)中學(xué)幾何教程》是約瑟夫 · 雷伊的經(jīng)典圖書，包括高級(jí)代數(shù)與解析幾何，本書以美國(guó)中學(xué)課本為基礎(chǔ)，詳細(xì)介紹了中學(xué)幾何的一些知識(shí)點(diǎn)，還配有相應(yīng)的例題、習(xí)題并給出了詳細(xì)的解答。
INTRODUCTION：THE NATURE，DIVISIONS，AND METHOD OF ANALYTIC GEOMETRY
I.ITS NATURE，DIVISIONS AND METHOD
II.DETERMINATE CEOMETRY
III.INDETERMINATE GEOMETRY
BOOK I PLANE COORDINATIES
PART I.THE REPRESENTATION OF FORM BY ANALYTICSYMBOLS
CHAPTER 1.THE OLDER GEOMETRY：BILINEAR AND POLAR CO-ORDINATES
I.THE POINT
II.THE RIGHT LINE
III.PAIRS OF RIGHT LINES
IV.THE CIRCLE
V.THE ELLIPSE
VI.THE HYPERBOLA
VII.THE PARABOLA
VIII.LOCUS OF SECOND ORDER IN GENERAL
CHAPTER 2.THE MODERN GEOMETRY：TRILINEAR AND TANGENTIAL CO-ORDINATES
I.TRILINEAR CO-ORDINATES
II.TANCENTIAL CO-ORDINATES
PART II.THE PROPERTIES OF CONICS.
CHAPTER 1.THE RIGHT LINE
CHAPYER 2.THE CIRCLE
CHAPTER 3.THE ELLIPSE
I.THE CURVE REFERRED TO ITS AXES II
II.THE CURVE REFERBED TO ANY TWO CONJUCATES
III.THE CURVE REFERRED TO ITS FOCI
IV.AREA OF THE ELLIPSE
CHAPTER 4.THE HYPERBOLA
I.THE CURVE REFERRED TO ITS AXES
II.THE CURVE REFERIIED TO ANY TWO CONJUCATES
III.THE CURVE REFERRED TO ITS FOCI
IV.THE CURVE REFERRED TO ITS ASYMPTOTES
V.AREA OF THE HYPERBOLA
CHAPTER 5.THE PARABOLA
I.THE CURVE REFERRED TO ITS AXIS AND VERTEX
II.THE CURVE IN TERMS OF ANY DIAMETER
III.THE CURVE REFERRED TO ITS FOUCS
IV.AREA OF THE PARABOLA
CHAPTER 6.THE CONIC IN GENERAL
BOOK II CO-ORDINATES IN SPACE
CO-ORDINATES IN SPACE
CHAPTER 1.THE POINT
CHAPTER 2.LOCUS OF FIRST ORDER IN SPACE
CHAPTER 3.LOCUS OF SECOND ORDER IN SPACE
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