File:Pirámides de Jose.gif
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Español: Pirámides de Jose: Es un poliedro convexo que posee un conjunto de triángulos isósceles laterales uniformes, que están unidos en el ápice, cuyas patas laterales uniformes son de menor longitud, que las aristas que forman el polígono regular llamado base.
La base de una pirámide de Jose siempre está representada por un polígono regular. Las caras laterales de una pirámides de Jose, siempre está representada por triangulo isósceles de Jose. Triángulo isósceles menor o triangulo isósceles de Jose: es aquel triangulo cuyos dos lados iguales llamados patas son de menor medida, que el lado desigual llamado base. Las pirámides de Jose son nombradas de acuerdo al nombre que posee el polígono que representa la base. Si la base es un hexágono el nombre es pirámides hexagonal de Jose. Pirámide cuadrada de Jose: Es un poliedro convexo, que está estructurada por un cuadrado y cuatro triángulos isósceles de Jose. Este solido geométrico posee un conjunto de arista totales disforme y el conjunto de vértice totales es disforme. Aplicando fórmulas de sucesiones poliédricas triangulares de Leonardo: C = caras, A = aristas, V = vértices, L= lugar correspondiente al solido geométrico triangular en la sucesión poliédrica. Formulas: A = 3L+3, C = 2L+2, V = L+3, la pirámides triangular de Jose posee 4 caras, C = 4, entonces despejamos en (C = 2L+2), el valor de L=?, L = C -2/2, sustituyendo C =4. L= 4-2/2 = 2/2 = 9, L = 1. Aplicando formulas y sustituyendo el Valor de L=1. A = 3L+3 = 3(1)+3 = 3+3 = 6, A =6. C = 2L+2 = 2(1)+2 = 2+2 = 4, C =4. V = L + 3 = (1) + 3 = 1 + 3 = 4, V =4.Estos resultados nos indica que la pirámide triangular de Jose, posee cuatro caras distribuidas de la siguiente forma: tres triángulos isósceles de Jose, un triángulo equilátero que representa el polígono regular de la base. El conjunto de las tres arista laterales menores es uniforme, las cuales se suman al otro conjunto de tres arista uniforme de la base. La suma de las aristas laterales y de las aristas de la base suma 6 aristas disforme entre sí. Además posee cuatros vértices intermedios. English: Pyramids of Jose: It is a convex polyhedron that has a set of uniform lateral isosceles triangles, which are united at the apex, whose uniform lateral legs are shorter than the edges that form the regular polygon called the base.
The base of a Jose pyramid is always represented by a regular polygon. The lateral faces of a Jose pyramids are always represented by Jose's isosceles triangle. Isosceles minor triangle or Jose's isosceles triangle: it is that triangle whose two equal sides called legs are of less measure than the unequal side called base. The pyramids of Jose are named according to the name of the polygon that represents the base. If the base is a hexagon the name is Jose's hexagonal pyramids. Jose's square pyramid: It is a convex polyhedron, which is structured by a square and four Jose's isosceles triangles. This geometric solid has a warp set of total edges and the total vertex set is warp. Applying Leonardo's formulas of triangular polyhedral successions: C = faces, A = edges, V = vertices, L = place corresponding to the triangular geometric solid in the polyhedral sequence. Formulas: A = 3L + 3, C = 2L + 2, V = L + 3, Jose's triangular pyramids has 4 faces, C = 4, so we solve for (C = 2L + 2), the value of L =? , L = C -2/2, substituting C = 4. L = 4-2 / 2 = 2/2 = 9, L = 1. Applying formulas and substituting the Value of L = 1. A = 3L + 3 = 3 (1) +3 = 3 + 3 = 6, A = 6. C = 2L + 2 = 2 (1) +2 = 2 + 2 = 4, C = 4. V = L + 3 = (1) + 3 = 1 + 3 = 4, V = 4.These results indicate that Jose's triangular pyramid has four faces distributed in the following way: three isosceles Jose's triangles, an equilateral triangle that represents the regular polygon of the base. The set of the three minor lateral edges is uniform, which are added to the other set of three uniform edges of the base. The sum of the lateral edges and the base edges adds up to 6 distorted edges. It also has four intermediate vertices. Français : Pyramides de José: C'est un polyèdre convexe qui a un ensemble de triangles isocèles latéraux uniformes, qui sont unis au sommet, dont les pattes latérales uniformes sont plus courtes que les bords qui forment le polygone régulier appelé la base.
La base d'une pyramide Jose est toujours représentée par un polygone régulier. Les faces latérales des pyramides de José sont toujours représentées par le triangle isocèle de José. Triangle mineur isocèle ou triangle isocèle de José: c'est ce triangle dont les deux côtés égaux appelés jambes sont de moindre mesure que le côté inégal appelé base. Les pyramides de José sont nommées d'après le nom du polygone qui représente la base. Si la base est un hexagone, le nom est les pyramides hexagonales de Jose. Pyramide carrée de José: C'est un polyèdre convexe, qui est structuré par un carré et quatre triangles isocèles de José. Ce solide géométrique a un jeu d'arêtes totales de déformation et le jeu de sommets total est déformation. Application des formules de Leonardo de séquences polyédriques triangulaires: C = faces, A = arêtes, V = sommets, L = place correspondant au solide géométrique triangulaire dans la séquence polyédrique. Formules: A = 3L + 3, C = 2L + 2, V = L + 3, les pyramides triangulaires de José ont 4 faces, C = 4, donc nous résolvons pour (C = 2L + 2), la valeur de L =? , L = C -2/2, en remplaçant C = 4. L = 4-2 / 2 = 2/2 = 9, L = 1. Application de formules et substitution de la valeur de L = 1. A = 3L + 3 = 3 (1) +3 = 3 + 3 = 6, A = 6. C = 2L + 2 = 2 (1) +2 = 2 + 2 = 4, C = 4. V = L + 3 = (1) + 3 = 1 + 3 = 4, V = 4.Ces résultats indiquent que la pyramide triangulaire de José a quatre faces réparties de la manière suivante: trois triangles isocèles de José, un triangle équilatéral qui représente le polygone régulier de la base. L'ensemble des trois bords latéraux mineurs est uniforme, qui s'ajoutent à l'autre ensemble de trois bords uniformes de la base. La somme des bords latéraux et des bords de base ajoute jusqu'à 6 bords déformés. Il a également quatre sommets intermédiaires. |
Date | |
Source | Own work |
Author | Jose J. Leonard |
File:Poliedro_Convexo_y_Sus_Partes_Basicas.jpg
File:Clasificación_De_Triángulos_Según_Sus_Lados.jpg
https://www.geogebra.org/classic/xjhqvanq
https://www.geogebra.org/m/y9rs5hw7
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