內容簡介
《歐美初等數學經典係列(第1輯):美國中學幾何教程(英文版)》是約瑟夫·雷伊的經典圖書,包括高級代數與解析幾何。
《歐美初等數學經典係列(第1輯):美國中學幾何教程(英文版)》以美國中學課本為基礎,詳細介紹瞭中學幾何的一些知識點,還配有相應的例題、習題並給齣瞭詳細的解答,《歐美初等數學經典係列(第1輯):美國中學幾何教程(英文版)》適閤初、高中學生及教師參考閱讀。
內頁插圖
目錄
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
編輯手記
前言/序言
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