Authors: Tobías de Jesús Rosas Soto
Usando la noción de C-ortocentro se extienden, a planos de Minkowski en general, nociones de la geometría clásica relacionadas con un triángulo, como por ejemplo: puntos de Euler, triángulo de Euler, puntos de Poncelet. Se muestran propiedades de estas nociones y sus relaciones con la circunferencia de Feuerbach. Se estudian sistemas C-ortocéntricos formados por puntos presentes en dichas nociones y se establecen relaciones con la ortogonalidad isósceles y cordal. Además, se prueba que la imagen homotética de un sistema C-ortocéntrico es un sistema C-ortocéntrico. --- Using the notion of C-orthocenter, notions of the classic euclidean geometry related with a triangle, as for example: Euler points; Euler’s triangle; and Poncelet’s points, are extended to Minkowski planes in general. Properties of these notions and their relations with the Feuerbach’s circle, are shown. C-orthocentric systems formed by points in the above notions are studied and relations with the isosceles and chordal orthogonality, are established. In addition, there is proved that the homothetic image of a C-orthocentric system is a C-orthocentric system.
Comments: 17 Pages. Artículo en español, con resumen en inglés. Contiene ecuaciones, y 13 figuras, a color para mejor comprensión.
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