GeoDom
jueves, 21 de marzo de 2024
Integration Using Some Euler-Like Identities
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"Complexification formulas are great and it seems like this simplifies the right away." - Ninad Munshi Some Euler-like identities...
miércoles, 28 de febrero de 2024
A family of trigonometric formulas for the roots of quadratic equations
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This note presents alternative trigonometric formulas for finding the roots of quadratic equations where $a$, $b$, and $c$ are non-zero re...
jueves, 15 de febrero de 2024
Integrals yielding $e^{\pi}$ or $e^{-\pi}$
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Lately, I've been playing a lot with integrals , and coincidentally (with a bit of algebraic manipulation), I've come across these ...
miércoles, 7 de febrero de 2024
Solving 'impossible' integrals with a new trick
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"Complexification formulas are great and it seems like this simplifies the right away." Ninad Munshi The following identities have...
sábado, 13 de enero de 2024
Trigonometric formula for solving quadratic equations
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In this note, we provide an alternative trigonometric formula for solving quadratic equations where $a$, $b$, and $c$ are non-zero real num...
jueves, 4 de enero de 2024
A generalization of Burlet's theorem to cyclic quadrilaterals
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The Burlet's theorem is a result in Euclidean geometry, which can be formulated as follows: Theorem 1 . Consider triangle $ABC$ with $...
martes, 19 de diciembre de 2023
The half-angle formulas are central!
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As the title suggests, the half-angle formulas are central . Even more central than the law of cosines, which is nothing more than the half...
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