Analysis of solutions and specific properties involving the circle circumscribed to the triangle
DOI:
https://doi.org/10.5902/2179460X90017Keywords:
Existence, Geometrical quantities, Polynomial equations, Rational solutionsAbstract
This work involves algebraic and geometric analysis of specific plane figures and seeks to analyze some unusual relationships between the circumscribed circle and the triangle, in addition to establishing conditions and intervals of their existence. We obtain rational curves that express, for example, maximum area values or asymptotic points. Also, through computer simulations, we visualize the behavior of these algebraic relationships, establishing a bridge between the theoretical analysis developed and experimental practice.
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