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Geometric Segment Essay

2500 words - 10 pages

Segmento GeométricoFrank Manuel Heredia Bayas, Erika Lorena Chafla CarguacundoCiencias exactas, Escuela Superior Politécnica del EjércitoSangolquí, eri_lorena1995@hotmail.comResumen- Este documento es un artículo detallado sobre todo lo referente a segmentos dentro de la geometría plana, donde se describe su definición, las operaciones aritméticas, sus axiomas, sus propiedades, técnicas de solución, teorías geométricas y una variedad de ejercicios resueltos.Palabras claves: axioma, aritmético, geométrico, plano, punto, recta.Abstract- This document is a detailed article on all matters relating to segments within the plane geometry, which describes its definition, arithmetic operations, its axioms, properties, solution techniques, geometric theories and a variety of exercises done.Keywords: axiom, arithmetic, geometric, plan, point, straight.I. INTRODUCCIÓNEste documento es un resumen sobre segmentos en la cual se sintetiza los temas más importantes relacionados con este, donde también se encuentran muchos ejemplos de los distintos temas del mismo y varios ejercicios resueltos.II. DESARROLLO DE CONTENIDOSA partir de esta sección, se desarrollan los contenidos sobre segmentos, de una forma ordenada y secuencial. Empieza con su definición, luego con sus operaciones aritméticas, axiomas, sus propiedades, algebra y técnicas de solución.A. Definición Un segmento es una sucesión infinita de puntos, de un punto que adquirió movimiento donde no varía la pendiente. Es el tramo de recta definida entre 2 puntos. Se llama segmento AB a la intersección del conjunto de puntos de la semirrecta AB y de la semirrecta BA, se designa por los puntos que lo limitan o por una letra minúscula. Porción de recta comprendida entre dos puntos llamados extremos. El segmento tiene principio y final.Fig. 1 Ejemplo de SegmentoB. Operaciones AritméticasFig. 2 Operaciones con segmentos1) Sumar: Para sumar segmentos, los colocamos uno a continuación de otro, sobre la misma recta, es decir, agregamos un segmento al siguiente y el valor de la suma será la longitud total obtenida.2) Restar: Para restar dos segmentos puedes llevarlos a ambos sobre la misma línea haciendo coincidir uno de los extremos de los dos. El segmento sobrante, será la diferencia.3) Multiplicar: En esta operación aritmética estudiamos el producto de un número natural por el valor de un segmento.Consiste en sumar tantos segmentos iguales como unidades tiene el número natural.4) Dividir: En esta operación aritmética estudiamos el cociente del valor de un segmento entre un número natural. El cociente que obtengamos será valor del segmento que nos piden. En realidad, se trata...

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