The Kinematic Method In Geometrical Problems | Yu. I. Lyubich, L. A. Shor
The Kinematic Method In Geometrical Problems
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Author: Yu. I. Lyubich, L. A. Shor
Added by: mirtitles
Added Date: 2018-05-04
Publication Date: 1980
Language: English
Subjects: mathematics, problems, kinematics, problem solving, geometry, vectors, algebra, little mathematics library, mir publishers, soviet
Collections: mir-titles, additional collections
Pages Count: 300
PPI Count: 300
PDF Count: 1
Total Size: 28.03 MB
PDF Size: 1.74 MB
Extensions: epub, pdf, gz, zip, torrent
Year: 1980
Downloads: 5.65K
Views: 55.65
Total Files: 12
Media Type: texts
Description
When solving a geometrical problem it is helpful ti imagine what would happen to the elements of the figure under consideration if some of its points started moving. The relationships between various geometrical objects may then become clear graphically and the solution of the problem may become obvious.
The relationships between magnitudes of segments, angles and so on in geometrical figures are usually more complicated than the relationship between their rates of change when the figure is deformed. Therefore, in solving geometrical problems one may benefit from a "theory of velocities", i.e. from kinematics.
This little book uses a number of examples to show how kinematics can be applied to problems of elementary geometry and gives some problems independent solution. The necessary background information from kinematics and vector algebra is given as preliminary.
The book is based on lectures given by the authors for school mathematics clubs at Kharkov State University named after A. M. Gorky. It is intended for high school students.
The book was translated from the Russian by Vladimir Shokurov and was first published by Mir in 1980.
Thanks to periplusmathematicus for original scan, we cleaned, OCRed and bookmarked the file.
Contents
Introduction
1. Elements of vector algebra
2. Elements of kinematics
3. The kinematic method in geometrical problems
Hints on the exercises