The Works of ArchimedesCosimo, Inc., 1 jun 2007 - 516 pagina's The complete works of Archimedes from the classic translation by T. L. Heath. |
Inhoudsopgave
xv | |
xxiii | |
xxxix | |
Arithmetic in Archimedes | lxviii |
On the problems known as NEY2EI2 | c |
Cubic equations exxiii | cxlii |
ON THE SPHERE AND CYLINDER BOOK 1 | 1 |
BOOK II | 56 |
ON THE EQUILIBRIUM OF PLANES BOOK I | 189 |
BOOK II | 203 |
THE SANDRECKONER | 221 |
QUADRATURE OP THE PARABOLA | 233 |
ON FLOATING BODIES BOOK 1 | 253 |
BOOK H | 263 |
BOOK OF LEMMAS | 301 |
THE CATTLEPROBLEM | 319 |
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Apollonius applied approximations Archimedes axes axis base called centre of gravity circle circumscribed complete cone conies conoid construction contained cubic curve cylinder described diameter difference direction distance divided draw drawn ellipse equal equation expression figure fluid follows frustum geometrical given gives greater Greek height Hence hyperbola inscribed intersection Join latter lemma length less magnitudes manner means Measure 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 respectively result right angles says sector segment side similar Similarly solid solution solved sphere spheroid spiral square straight line Suppose surface Take taken tangent term touch triangle turn vertex volume whence