The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder: Translation and Commentary
This is the first faithful translation into English of the works of Archimedes, the greatest scientist of antiquity. The works translated here--the two books On Sphere and Cylinder--were the great pride of Archimedes himself. Accompanying the translation is the first scientific edition of the diagrams, which incorporates new information from the recently discovered Archimedes Palimpsest. The volume also includes the first English translation of Eutocius's ancient Commentary. Professor Netz's commentary studies Archimedes's work from such contemporary research perspectives as scientific style and the cognitive history of mathematical texts.
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analysis angle contained Arch Archimedean Archimedes Archimedes Palimpsest argument assertion base equal bisected brackets circle whose radius circumference circumscribed polygon Codex D Codex G codices commentary cone conical surfaces construction cube cylinder diagram diameter Elements VI.2 Elements VI.8 Cor enunciation equilateral equilateral polygon Eratosthenes Eutocius figure inscribed geometrical given line greater ratio Greek mathematics half as large height equal hyperbola imagined inequality inscribed a smaller inscribed figure inscribed inside interpolation joined latus rectum lemma letters magnitudes manuscripts mean proportionals objects parabola parallel parallelogram perpendicular drawn plane postulate problem produced proof proved radii radius is equal rectangle contained rectilinear figure reference rhombus right angles scholion sector sequence setting-out side similar smaller ratio solid sphere square Step 11 straight lines taken textual comments the<square>on theorem translation triangle twice vertex