The Application Of Mechanics To Geometry ( Popular Lectures In Mathematics) | B. Yu. Kogan
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Author: B. Yu. Kogan
Added by: mirtitles
Added Date: 2021-12-22
Publication Date: 1974
Language: eng
Subjects: mathematics, applications, mechanics, composition of forces, vectors, ceva's theorem, theorem on triangles, perpetual motion postulate, center of gravity, volume of a sphere, body of revolution, high school mathematics, soviet, geometric theorems, popular lectures in mathematics
Collections: mir-titles, additional collections
Pages Count: 600
PPI Count: 600
PDF Count: 1
Total Size: 44.56 MB
PDF Size: 3.07 MB
Extensions: epub, pdf, gz, html, zip, torrent
Downloads: 1.4K
Views: 51.4
Total Files: 16
Media Type: texts
Description
This book is an exposition of geometry from the point of view of mechanics. B. Yu. Kogan begins by defining concepts of mechanics and then proceeds to derive many sophisticated geometric theorems from them. In the final section, the concepts of potential energy and the center of gravity of a figure are used to develop formulas for the volumes of solids. These could formerly be derived only by the use of the calculus.
