GeoDom
martes, 19 de agosto de 2025
A generalization of the law of cotangents
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Introduction (classical law of cotangents) In trigonometry, the law of cotangents is a relationship among the side lengths of a triangle an...
lunes, 26 de mayo de 2025
USM Transform #3 vs. Mathematica Integrate
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Warning : The 19-example table is an eye-catching demo, but it is not large or diverse enough to qualify as a “representative” benchmark in ...
jueves, 21 de marzo de 2024
A new integration technique via Euler-like identities
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"Complexification formulas are great and it seems like this simplifies the right away." - Ninad Munshi Warning : a more refined ...
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 ...
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 $...
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