The Works of ArchimedesThe 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. |
Contents
INTRODUCTION | xv |
MANUSCRIPTS AND PRINCIPAL EDITIONSORDER | xxiii |
RELATION OF ARCHIMEDES TO HIS PREDECESSORS | xxxix |
Copyright | |
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A₁ A₂ Apollonius Apollonius of Perga Archimedes axis base equal bisecting centre of gravity chord circle circumference circumscribed figure cone conics conoid Conoids and Spheroids cubic equation cylinder or frustum described diameter draw drawn ellipse equal height equilibrium Euclid Eutocius fluid follows geometrical greater Greek height equal Hence hyperbola hyperboloid inscribed figure intersection Join lemma less magnitudes meet method method of exhaustion middle point Pappus parabola parabolic segment paraboloid parallel parallelogram perpendicular polygon portion prism problem produced proof Prop Proposition proved pyramid R₂ radius rectangle respectively revolution rhombus right angles sector segment ABB segmt semicircle side similar solution Sphere and Cylinder spheroid spiral square straight line Suppose surface tangent term theorems trapezium triangle vertex whence Zeuthen ἀπὸ δὲ ἐν ἐπὶ καὶ τὰ τᾶς τὴν τῆς τὸ τοῦ τῷ τῶν