Теорема о неравенстве площадей треугольников, образованных касательными к гиперболе

Authors

  • А.К Сеидуллаев

    Каракалпакского отделения института математики им. В.И.Романовского АН РУз

  • С.Б Кунназаров

    Karakalpak State University image/svg+xml

Keywords: hyperbola, triangle area, tangency point, conic sections, parametric equations of the hyperbola

Abstract

In this article we considered a problem related to a hyperbola: if three tangents are drawn on a given hyperbola, then the area of the triangle formed by the points of their intersection is half or equal to the area of the triangle formed by the tangents themselves.

References

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2. Day W.A. Inequalities for areas associated with conics, The American Mathematical Monthly 98. 1991, №. 1, 36-39.

3. Dreiling A. Mathematical Inequalities, San Jose State University. 2013.