Excerpt from Geometrical Solutions Derived From Mechanics: A Treatise of Archimedes The first proposition concerns the quadrature of the parabola, a subject treated at length in one of his earlier communications to Dositheos.5 He gives a digest of the treatment, but with the warning that the proof is not com plete, as it is in his special work upon the subject. He has, in fact, summarized propositions VII-XVII of his com munication to Dositheos, omitting the geometric treat ment of propositions XVIII-XXIV. One thing that ...
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Excerpt from Geometrical Solutions Derived From Mechanics: A Treatise of Archimedes The first proposition concerns the quadrature of the parabola, a subject treated at length in one of his earlier communications to Dositheos.5 He gives a digest of the treatment, but with the warning that the proof is not com plete, as it is in his special work upon the subject. He has, in fact, summarized propositions VII-XVII of his com munication to Dositheos, omitting the geometric treat ment of propositions XVIII-XXIV. One thing that he does not state, here or in any of his works, is where the idea of center of gravity started. It was certainly a com mon notion in his day, for he often uses it without defining it. It appears in Euclid's time, but how much earlier we cannot as yet say. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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