The Works of ArchimedesCourier Corporation, 9 במאי 2013 - 576 עמודים The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination. |
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Apollonius applied Archimedes axis base called centre of gravity circle circumscribed complete cone conics conoid construction contained corresponding curve cylinder described diameter difference direction distance divided draw drawn ellipse equal equation expression figure fluid follows geometrical given gives greater Greek height Hence hyperbola inscribed intersection Join latter length less magnitudes manner means Measure meet method middle obtain original Pappus parabola paraboloid parallel particular passing perpendicular placed plane polygon portion position possible prism problem produced proof Prop proportion Proposition proved pyramid radius ratio rectangle reference remaining respectively result right angles sector segment semicircle side similar Similarly solid solution solved sphere spheroid spiral square straight line Suppose surface tangent term theorems touch triangle turn vertex volume whence whole