内容简介
《欧美初等数学经典系列(第1辑):美国中学几何教程(英文版)》是约瑟夫·雷伊的经典图书,包括高级代数与解析几何。
《欧美初等数学经典系列(第1辑):美国中学几何教程(英文版)》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,《欧美初等数学经典系列(第1辑):美国中学几何教程(英文版)》适合初、高中学生及教师参考阅读。
内页插图
目录
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
编辑手记
前言/序言
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