- 圆锥曲线论(英文)(精)/西方科学经典影印
- - 作者：(古希腊)阿波罗尼奥斯|责编:梅文辉|译者:(英)希思
  - 出版社：崇文书局
  - ISBN：9787540372989
  - 出版日期：2023/07/01
  - 页数：254
- 售价：80

内容大纲
阿波罗尼奥斯（Apollonius，前262—前190）与欧几里得(Euclid，前325—前265)、阿基米德（前287年—前212年）并称为古希腊的三大数学家。英国的数学史家希思（Thomas Heath，1861—1940）翻译了三人的《圆锥曲线论》《几何原本》《阿基米德著作集》的英译本。
希思编译的《圆锥曲线论》，于1896年由剑桥大学出版社出版；本次影印的是剑桥著名的Heffer & Sons图书公司的1961年重印本。书前有希思的长篇“导论”，影印时不收。
作者介绍
目录
INTRODUCTION
  PART I. THE EARLIER HISTORY OF CONIC SECTIONS AMONG THE GREEKS
    CHAPTER I.THE DISCOVERY OF CONIC SEOTIONS: ME-NAECHMUS
    CHAPTER II.ARISTAEUS AND EUCLID
    CHAPTER III.ARCHIMEDES
  PART II. INTRODUCTION TO THE CONICS OF APOLLONIUS
    CHAPTER I.THE AUTHOR AND HIS OWN ACCOUNT OF THE CONIOS
    CHAPTER II.GENERAL CHARACTERISTICS
    §1.Adherence to Euclidean form, conceptions and language
    §2.Planimetric character of the treatise
    §3.Definite order and aim
    CHAPTER III.THE METHODS OF APOLLONIUS
    §1.Geometrical algebra
    (1)The theory of proportions
    (2)The application of areas
    (3)Graphic representation of areas by meansof auxiliary lines
    (4)Special use of auxiliary points in Book VII
    §2.The use of coordinates
    §3.Transformation of coordinates
    §4.Method of finding two mean proportionals
    §5.Method of constructing normals passing through a given point
    CHAPTER IV.THE CONSTRUCTION OF A CONIC BY MEANS OF TANGENTS
    CHAPTER V.THE THREE-LINE AND FOUR-LINE LOCUS
    CHAPTER VI.THE CONSTRUCTION OF A CONIC THROUGH FIVE POINTS
    APPENDIX. NOTES ON THE TERMINOLOGY OF GREEK GEO-METRY
THE CONICS OF APOLLONIUS
  THE CONE
  THE DIAMETER AND ITS CONJUGATE
  TANGENTS
  PROPOSITIONS LEADING TO THE REFERENCE OF A CONIC TO ANY NEW DIAMETER AND THE TANGENT AT ITS EXTREMITY
  CONSTRUCTION OF CONIOS FROM CERTAIN DATA
  ASYMPTOTES
  TANGENTS, CONJUGATE DIAMETERS AND AXES
  EXTENSIONS OF PROPOSITIONS 17
  RECTANGLES UNDER SEGMENTS OF INIERSECTING CHORDS
  HARMONIC PROPERTIES OF POLES AND POLARS
  INTERCEPTS MADE ON TWO TANGENTS BY A THIRD FOCAL PROPERTIES OF CENTRAL CONICS
  THE LOCUS WITH RESPECT TO THREE LINES ETC
  INTERSECTING CONICS
  NORMALS AS MAXIMA AND MINIMA
  PROPOSITIONS LEADING IMMEDIATELY TO THE DETER-MINATION OF THE EVOLUTE
  CONSTRUCTION OF NORMALS
  OTHER PROPOSITIONS RESPECTING MAXIMA AND MINIMA
  EQUAL AND SIMILAR CONICS
  PROBLEMS
  VALUES OF CERTAIN FUNCTIONS OF THE LENGTHS OF CONJUGATE DIAMFTERS

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