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JOURNALS // Mathematical Education // Archive

Math. Ed., 2015 Issue 4(76), Pages 59–71 (Mi mo67)

The content of education: geometry

Exercises in experimental geometry, finished

T. A. Ehrenfest-Afanassjewa

State Scientific Center of the Russian Federation - Institute for Theoretical and Experimental Physics, Moscow

Abstract: A collection of exercises in experimental geometry prepared by the famous theoretical physicist and teacher of mathematics Tatjana Ehrenfest-Afanassjewa. The original book was written in 1931 in German. Translated in 2015 by Boris Yamrom. Finished.

Keywords: Length, angle, straight as an axis of rotation, the shortest distance between two points, just like a beam of light, plane and ruled surfaces, infinite straight parallel lines, the relative position of line and plane, the position of lines and planes in relation to the horizontal plane sections surfaces shadows, perspective views, dihedral and trihedral angles, symmetry, geometry mechanisms, degree of freedom, defined, redefined and uncertain task, parallel axiom and its corollary, the circle, the surface and cross section, the topology.

UDC: 372.851



© Steklov Math. Inst. of RAS, 2024