the works of archimedes

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CUP Archive - 377 pages

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Page xvi
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Page xxxix
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Page xl
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Page xli
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Page xlii
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Contents

INTRODUCTION
xv
CHAPTER II
xxiii
CHAPTER III
xxxix
CHAPTER IV
lxviii
Archimedes approximations to 3
lxxx
Note on alternative hypotheses with regard
xc
5
cxi
CHAPTER VI
cxxiii
MEASUREMENT OF A CIRCLE
93
ON CONOIDS AND SPHEROIDS
99
ON SPIRALS
105
ON THE EQUILIBRIUM OF PLANES BOOK I
203
THE SANDRECKONER
221
QUADRATURE OF THE PARABOLA
235
ON FLOATING BODIES BOOK I
253
31
263

ANTICIPATIONS BY ARCHIMEDES OF THE INTE
cxlii
THE TERMINOLOGY OF ARCHIMEDES
clv
ON THE SPHERE AND CYLINDER BOOK I
1
BOOK OF LEMMAS
301
THE CATTLEPROBLEM
319
BOOK II
325

Common terms and phrases

Apollonius appears applied approximation Archimedes axis base called centre of gravity circle circumscribed complete cone conics conoid construction contained cylinder described diameter difference distance divided draw drawn ellipse equal equation Euclid expressed fact figure fluid follows fractions geometrical given gives greater Greek height Hence hyperbola inscribed Join latter lemma length less magnitude manner means Measurement meet method obtain original Pappus parabola paraboloid parallel particular passing perpendicular placed plane polygon portion position possible problem produced proof Prop proportional proposition proved pyramid radius ratio rectangle referred remaining represented respectively result right angles root says sector segment side similar Similarly solid solution solved sphere spheroid spiral square straight line Suppose surface tangent term touch triangle vertex volume whence τὸ τοῦ τῶν

Bibliographic information

Titlethe works of archimedes
Dover Books on Science
PublisherCUP Archive, 19??
Length377 pages
  
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