GEOMETRIK AYNIYATLARNI ISBOTLASHDA KUBIK TENGLAMALAR USULI

Authors

  • Rajabova Nilufar Komiljonovna

Keywords:

area, triangle, semipremetr, inradius, radis of circumcircle, equation.

Abstract

At the International Mathematical  Оlympiads, many complex geometric  identities are used to solve geometric problems. In particular, these equations take the form of a trigonometric sum or multiplication of the angles of a triangle. Basically, these equations are proved by difficult geometric constructions. Below we give these proofs by using the cubic equation method.

References

Amir Hossein Parvardi, 150 Nice geometry problems, 2011

Dusan Djukic, Vladimir Jankovich, The IMO Compendium 2010

Viktor Prasolov translated and edited by Dimitry Leites, Problems in plane and solid geometry, 2001

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Published

2021-04-18

Issue

Vol. 1 No. 1 (2020): PHYSICAL AND MATHEMATICAL SCIENCES

Section

Статьи