The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder: Translation and Commentary
Archimedes was the greatest scientist of antiquity and one of the greatest of all time. This book is Volume I of the first authoritative translation of his works into English. It is also the first publication of a major ancient Greek mathematician to include a critical edition of the diagrams and the first translation into English of Eutocius' ancient commentary on Archimedes. Furthermore, it is the first work to offer recent evidence based on the Archimedes Palimpsest, the major source for Archimedes, lost between 1915 and 1998. A commentary on the translated text studies the cognitive practice assumed in writing and reading the work, and it is Reviel Netz's aim to recover the original function of the text as an act of communication. Particular attention is paid to the aesthetic dimension of Archimedes' writings. Taken as a whole, the commentary offers a groundbreaking approach to the study 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