Project Gutenberg 2005-04-01 Public domain in the USA. 161 Archimedes -290 -212 Smith, David Eugene 1860 1944 Dunham, David Smith, Eugene Heiberg, J. L. (Johan Ludvig) 1854 1928 Heiberg, Johan Ludvig Heiberg, I. L. Robinson, Lydia Gillingham 1875 Geometrical Solutions Derived from Mechanics; a Treatise of Archimedes "Geometrical Solutions Derived from Mechanics; a Treatise of Archimedes" is a scientific publication attributed to the ancient mathematician Archimedes, with a translation by Dr. J.L. Heiberg and an introduction by David Eugene Smith. This treatise, derived from manuscripts discovered in the early 20th century, belongs to the late classical era, specifically around the late Hellenistic period. The book primarily discusses the geometric principles relating to mechanics, presenting solutions that intertwine mathematical concepts with practical applications in physics. The content of the treatise elaborates on several key propositions by Archimedes, demonstrating how geometric solutions can be derived from mechanical principles. The work includes explorations of the volumes of various solid shapes such as cylinders, spheres, and parabolas, often relating their properties to practical mechanical applications. Archimedes emphasizes his innovative methods of deriving geometric proofs through intuitive and mechanical reasoning rather than purely analytical approaches. Each proposition builds upon a mechanical foundation, revealing the interconnectedness of geometry and mechanics and providing insights into Archimedes's thought process in discovering mathematical truths. (This is an automatically generated summary.) en Geometry -- Early works to 1800 QA Text Mathematics Category: History - Ancient Category: Science - Physics Category: Mathematics 427615 2014-11-01T15:57:24 application/pdf 13095 2025-08-04T03:35:55.413554 application/rdf+xml 139504 2014-11-01T15:57:24 application/prs.tex 24747 2025-08-04T03:35:55.328556 image/jpeg 4582 2025-08-04T03:35:55.086558 image/jpeg 420601 2014-11-01T15:57:24 application/octet-stream application/zip 196630 2014-11-01T15:57:24 application/octet-stream application/zip Archives containing the RDF files for *all* our books can be downloaded at https://book.klll.cc/wiki/Gutenberg:Feeds#The_Complete_Project_Gutenberg_Catalog en.wikipedia en.wikipedia en.wikipedia