Published September 5, 2023 | Version v1
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THE EQUATION OF A STRAIGHT LINE AND A PARABOLA FORMED AS A RESULT OF A SYMMETRIC TRANSLATION WITH RESPECT TO A STRAIGHT LINE y=kx+b.

  • 1. Head teacher of Departmet of exact science, The lyceum of Andijan State University, Uzbekistan, Andijan
  • 2. Tutor of Presidential school in Andijan, Uzbekistan.
  • 3. Student of Andijan State University, Uzbekistan, Andijan

Description

Everyone knows mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, computers, software, architecture (ancient and modern), art, money, engineering and even sports.

In this paper, we study making symmetric shapes of any straight lines and parabolas. To do this, we use moving the origin of coordinate system and rotating it. And important thing is that we can find formulas for determining symmetric shapes of the given straight lines and giperbolas since we know coefficients of equations of the given straight lines and giperbolas.

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Is cited by
Journal article: 10.5281/zenodo.8328376 (DOI)

References

  • 1. Gerald C., Preston and Anthony R.L. Modern Analytic Geometry. Harper&Row, Publishers, New York, 1971. 2. Algebra va Matematik analiz asoslari I qism. Toshkent, "O'qituvchi", 2002.