Calculations for one illustration of the Pythagorean Theorem


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Authors

  • A.A. Korenovskyi I.I. Mechnikov Odessa National University

Keywords:

Pythagorean theorem, interpretation of the Pythagorean theorem, figure division, figures of equal size

Abstract

On the sides of a right-angled isosceles triangle, squares external to this triangle are built. The task is to
construct a straight line on a plane that divides a figure consisting of these three squares into two equal-sized (that is,
equal area) figures. Some parameters determined by this line are calculated, in particular, the areas of parts of the original
squares in half-planes. The corresponding results are illustrated by various drawings, tables and graphs.

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Published

2020-12-30

How to Cite

А. А. Кореновский. (2020). Calculations for one illustration of the Pythagorean Theorem. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 133(4), 40–53. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/77

Issue

Vol. 133 No. 4 (2020)

Section

Статьи