Apollonius of Perga Treatise on Conic Sections

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Sommario

INTRODUCTION
xvii
CHAPTER II
xxxi
ARCHIMEDES
xli
PART II
lxviii
GENERAL CHARACTERISTICS
lxxxvii
THE METHODS OF APOLLONIUS
ci
THE CONSTRUCTION OF A CONIC BY MEANS
cxxx
CHAPTER V
cxxxviii
CONSTRUCTION OF CONICS FROM CERTAIN DATA
42
ASYMPTOTES
53
EXTENSIONS OF PROPOSITIONS 1719
84
UNDER
95
HARMONIC PROPERTIES OF POLES AND POLARS
102
INTERCEPTS MADE ON TWO TANGENTS BY A THIRD
109
THE LOCUS WITH RESPECT TO THREE LINES
121
NORMALS AS MAXIMA AND MINIMA
139

CHAPTER VI
cli
APPENDIX
clvii
THE CONE
1
THE DIAMETER AND ITS CONJUGATE
15
TANGENTS
22
PROPOSITIONS LEADING TO THE REFERENCE OF A CONIC
31
PROPOSITIONS LEADING IMMEDIATELY TO THE DETER
168
CONSTRUCTION OF NORMALS
180
OTHER PROPOSITIONS RESPECTING MAXIMA AND MINIMA
187
EQUAL AND SIMILAR CONICS
197
PROBLEMS
209
VALUES OF CERTAIN FUNCTIONS OF THE LENGTHS
221

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