GeoDom

miércoles, 17 de mayo de 2023

A Generalization of the Law of Sines

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  The following is an extension of the  law of sines for cyclic quadrilaterals that comes to accompany the  generalization of Mollweide...
domingo, 30 de abril de 2023

A new proof of angle sum identity for the sine

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Several interesting proofs of angle sum identity are given on  MathSE . In this note, I will provide another proof that is possible because,...
jueves, 13 de abril de 2023

Breve discurso ante una multitud de estudiantes: el enfoque de medio ángulo (EMA)

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Hace dos semanas, recibí una invitación para dar un breve discurso a estudiantes de secundaria acerca de mis más recientes descubrimientos e...
sábado, 18 de marzo de 2023

The Half-Angle Formulas: A Powerful Tool for Trigonometry Students

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 Let me tell you about an exciting discovery I made while exploring the theoretical importance of half-angle formulas in trigonometry. These...
miércoles, 28 de diciembre de 2022

Van Khea's areal problem

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  The following problem is a generalization of my previous problem conjectured by Van Khea. We will give a proof. The following problem is ...
viernes, 23 de diciembre de 2022

Areal property of the circumcircle mid-arc triangle

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 The following theorem is a property of the  circumcircle mid-arc triangle which appears to be unknown. We will be using standard notation:...
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domingo, 7 de agosto de 2022

A property of the Spieker point

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Problem . Let $ABC$ be a triangle. Let $A'$ be on $BC$ such that $AA'$ is an internal angle bisector. Call $M$ the midpoint of $AA...
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Hi, here you can find solved and open geometry problems in English and Spanish (and other stuffs).

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Emmanuel José García
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