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    cómo se llama el espacio que surge formado por tres planos perpendiculares entre sí, dos verticales y uno horizontal.

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    obtenga cómo se llama el espacio que surge formado por tres planos perpendiculares entre sí, dos verticales y uno horizontal. de este sitio.

    Sistema diédrico

    Sistema diédrico

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    Representación en sistema diédrico de un volumen con forma de letra «L»: Las dos figuras de la izquierda son las proyecciones o vistas principales de la pieza. La figura de la derecha es la vista lateral de la misma pieza, o su proyección lateral.

    El sistema diédrico es un método de representación geométrica de los elementos del espacio tridimensional sobre un plano, es decir, la reducción de las tres dimensiones del espacio a las dos dimensiones del plano, utilizando una proyección ortogonal sobre dos planos que se cortan perpendicularmente. El sistema formado por los dos planos se denomina diedro. Para generar las vistas diédricas, uno de los planos se abate sobre el segundo, permitiendo la representación de las proyecciones de los elementos en un plano (papel).

    Es un método gráfico de representación que consiste en obtener la imagen de un objeto (en planta y alzado), mediante la vista proyección de haces perpendiculares a dos planos principales de proyección, horizontal (PH) y proyección vertical (PV). El objeto queda representado por su vista frontal (proyección en el plano vertical) y su vista superior (proyección en el plano horizontal); también se puede representar su vista lateral, como proyección auxiliar.

    Si se prescinde de la línea de tierra, se denomina sistema diédrico directo.

    Índice

    1 Introducción

    2 Planos proyectantes principales

    3 Representación de un punto

    4 Representación de una recta

    5 Representación de un plano

    6 Representación de un volumen geométrico

    7 Representación de una circunferencia

    8 Diferentes sistemas

    9 Véase también 10 Enlaces externos

    Introducción[editar]

    Firma para indicar el uso del sistema europeo de proyección

    La geometría descriptiva es la rama de las matemáticas que estudia la representación de cuerpos tridimensionales sobre superficies bidimensionales, empleando para ello los principios y procedimientos de la geometría métrica y proyectiva, y usando como medio de expresión al Dibujo Técnico. Los teoremas propuestos por la Geometría Descriptiva apuntan a lograr una relación unívoca entre cada uno de los elementos geométricos que componen al objeto representado y su correspondiente representación bidimensional, así como a la verificación de la reversibilidad de la representación, esto es, que así como a partir de un objeto en el espacio es siempre posible obtener sus proyecciones sobre una superficie bidimensional, de igual manera, a partir    de las proyecciones de dicho objeto, es factible determinar la posición espacial de cualquiera de los puntos que componen a tal objeto. El sistema básico dentro de esta geometría es el sistema diédrico o de proyecciones diédricas ortogonales. Gaspard Monge, geómetra francés, fue quien codificó su estudio y mecanismo; para ello nos valemos de dos planos proyectantes que forman entre sí un ángulo recto (de 90º).

    Planos proyectantes principales[editar]

    Los dos planos proyectantes principales son el Horizontal y el Vertical. Su intersección se denomina .

    Plano Horizontal (PH): contiene la proyección horizontal o planta. Está subdividido por la Línea de tierra (LT) en: Plano horizontal Posterior (detrás) y Plano Horizontal Anterior (delante).

    Plano Vertical (PV): contiene la proyección vertical o alzado. Está subdividido por la Línea de Tierra en: Plano Vertical Superior (arriba) y Plano Vertical Inferior (abajo).

    Las tres proyecciones ortogonales principales: frontal, superior y lateral (alzado, planta y perfil).

    Normalmente, solo se usan los planos PH y PV, que se cortan en la Línea de tierra (LT) dando origen a una subdivisión del espacio en cuatro ángulos diedros o .

    Para representar en dos dimensiones (sobre un papel) las vistas principales en el sistema diédrico, se realiza un abatimiento, que consiste en girar, tumbar, o abatir un plano principal de tal manera que el Plano Horizontal (PH) se superponga al Plano Vertical (PV).

    También se utiliza, como plano auxiliar, el denominado:

    Plano de Perfil (PP): contiene la proyección lateral izquierda (o derecha).

    Planos bisectores

    Los dos son aquellos que dividen a los cuadrantes en dos octantes de 45º cada uno. El está en el primero y tercer cuadrante y el en el segundo y cuarto cuadrante. Los planos bisectores se definen como el lugar geométrico de puntos con idéntica cota y alejamiento.

    Representación de un punto[editar]

    Un punto situado en el espacio se representa mediante sus dos (a modo de ) sobre los planos principales: proyección horizontal y proyección vertical.

    Cota

    Se denomina de un punto del espacio a la distancia entre él y su proyección en el plano horizontal, o lo que es lo mismo la distancia entre la proyección vertical y la línea de Tierra (LT). Es decir, su distancia en el eje Z.

    fuente : es.wikipedia.org

    5.

    5.- Sistema diédrico de representación

    El sistema diédrico es un método que nos permite representar sobre una superficie plana objetos situados en el espacio, mediante sus proyecciones sobre un ángulo diedro, (ángulo formado por la intersección de dos planos perpendiculares entre si).

    El sistema diédrico, se llama así porque utiliza dos planos de proyección, uno horizontal (PH) y otro vertical (PV) que se encuentran perpendicularmente. Estos planos determinan entre sí una línea llamada línea de tierra (LT) y sirve para referenciarnos con respecto a las dos vistas del sistema. Normalmente utilizamos un tercer plano auxiliar llamado plano de perfil (PP).

    Alzado, planta y perfil

    Para captar todos los detalles de un objeto, en la mayoría de los casos, es suficiente obtener tres vistas que reciben el nombre de alzado, planta y perfil.

    Alzado es la vista frontal del objeto. Se escoge cómo alzado aquella vista que describe mejor las formas del objeto.Planta es la vista que se obtiene cuando observamos el objeto desde arriba.Perfil es la vista correspondiente al lateral izquierdo del objeto.

    Una vez obtenidos el alzado, la planta y el perfil, las proyecciones del objeto tienen que quedar situadas de una forma concreta para interpretar correctamente el dibujo. El perfil (izquierdo) debe situarse a la derecha del alzado; y la planta, abajo del alzado.

    Alzado, planta y perfil. Plas-tic. Licencia CC-BY-NC-SA

    Las tres proyecciones ortogonales principales: frontal, superior y lateral (alzado, planta y perfil). Emok (a través de wikimedia commons). Licenza CC-BY-SA

    Para saber másSistema europeo de disposición de vistas

    El sistema que normalmente utilizamos para la representación de las proyecciones en el sistema diédrico es el denominado sistema europeo, donde las seis posibles vistas de una pieza u objeto se disponen cómo muestran las figuras; a diferencia del denominado sistema americano. En el siguiente enlace se abrirá un artículo de la Enciclopedia Libre Universal donde se explica la diferencia entre los sistemas diédrico europeo y americano.

    Acceso al artículo "Sistema Diédrico" de la Enciclopedia Libre Universal en español. (en una ventana nueva)

    Caso práctico

    En las fotos siguientes de Luis González Perez se muestra un objeto real y un montaje de un triedro con sus proyecciones

    Modelos físicos de proyección y abatimiento. Luis González Perez. Licenza GNU

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    fuente : www.edu.xunta.gal

    5. Cómo se llama el espacio que surge formado por tres planos perpendiculares entre sí, dos

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    fuente : brainly.lat

    ¿Quieres ver la respuesta o más?
    Santiago 6 day ago
    4

    Chicos, ¿alguien sabe la respuesta?

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