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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

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

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The Application Of Mechanics To Geometry ( Popular Lectures In Mathematics)
      
 | B. Yu. Kogan

May 18, 2022

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The Application Of Mechanics To Geometry ( Popular Lectures In Mathematics)
      
 | B. Yu. Kogan

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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.

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