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A page from Archimedes' On Conoids and Spheroids. On Conoids and Spheroids (Ancient Greek: Περὶ κωνοειδέων καὶ σφαιροειδέων) is a surviving work by the Greek mathematician and engineer Archimedes (c. 287 BC – c. 212 BC).
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Archimedes' On The Measurement Of The Circle; Diophantus Of Alexandria: A Study In The History Of Greek Algebra; The Thirteen Books of Euclid's Elements: vol. 1, vol. 2, vol. 3; The Thirteen Books of Euclid's Elements - Second Edition Revised with Additions: Vol. 1-3; PDF files of many of Heath's works, including those on Diophantus, Apollonius ...
The Archimedes Palimpsest is a parchment codex palimpsest, originally a Byzantine Greek copy of a compilation of Archimedes and other authors. It contains two works of Archimedes that were thought to have been lost (the Ostomachion and the Method of Mechanical Theorems ) and the only surviving original Greek edition of his work On Floating ...
Archimedes argument is nearly identical to the argument above, but his cylinder had a bigger radius, so that the cone and the cylinder hung at a greater distance from the fulcrum. He considered this argument to be his greatest achievement, requesting that the accompanying figure of the balanced sphere, cone, and cylinder be engraved upon his ...
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Archimedes used an inscribed half-polygon in a semicircle, then rotated both to create a conglomerate of frustums in a sphere, of which he then determined the volume. [5] It seems that this is not the original method Archimedes used to derive this result, but the best formal argument available to him in the Greek mathematical tradition.
A parabolic segment is the region bounded by a parabola and line. To find the area of a parabolic segment, Archimedes considers a certain inscribed triangle. The base of this triangle is the given chord of the parabola, and the third vertex is the point on the parabola such that the tangent to the parabola at that point is parallel to the chord.