Modeling of rectangular izometry of a pyramid

EXAMPLES OF MODELING THE ISOMETRICAL PROJECTIONS OF SIMPLE FIGURES

For a pyramid in figure 3.17, the axes of coordinates must coincide with its axes of symmetry, thus the beginning of coordinates - 0 will be in the center of the basis of a pyramid - a. At first draw isometric axes for the modeling the basis of a pyramid (figure 3.17, b). The basis of a pyramid is a plane figure which is drawn in obedience to description, to done before (figure 3.12). From a projection drawing we can determine the necessary coordinates of points and the location of a top of a pyramid – S (figure 3.17, c). Connect the top of a pyramid with points in basis, forming lateral edges and lateral faces (figure 3.17, d).

а) b) c) d)

Figure 3.17 – Rectangular izometry of a pyramid

 

Modeling of rectangular іzometry of a prism.

For a prism in figure the 3.18 axes of coordinates must coincide with its axes of symmetry, thus the beginning of coordinates - 0 will be in the center of lower basis of a prism - a. At first isometric axes draw for the modeling the basis of a prism (figure 3.18, b). Upper and lower bases of a prism are a plane figure which is drawn according to the description done before (figure 3.12). From a projection drawing we determine the necessary coordinates of points and the location of upper base of a prism -b (figure 3.18, c). Connect points segments on upper and lower bases, forming lateral edges and lateral faces- g (figure 3.18, d).

 

а) b) c) d)

Figure 3.18 – Modeling of rectangular іzometry of a prism

 

Modeling of rectangular іzometry of a cone.

For the direct cone (figure 3.19, a) axes of coordinates draw so that they coincided with the center of a circle in the basis, thus beginning of coordinates - 0 will be in the center of a circle. At first draw isometric axes for the modeling of a cone basis (figure 3.19, b). The basis of a cone is a circle, which is drawn in іzometry according to the description done before (figure 3.13). From a projection drawing we determine the location of a top – S (figure 3.19, c). Connect the top of a cone with the segments of formative tangential to the elliptic curve (figure 3.19, d).

а) b) c) d)

Figure 3.19 –Modeling of rectangular іzometry of a cone

 

Modeling the rectangular іzometry of a cylinder.

For the direct cylinder (figure 3.20, a) axes of coordinates must coincide with the center of a circle in basis, thus beginning of coordinates - 0 will be in the center of a circle. At first draw isometrical axes for the modeling lower basis of a cylinder - b (figure 3.20, b). The basis of a cylinder is a circle which is drawn in іzometry according to the description done before (figure 3.13). From a projection drawing we determine the location of a cylinder upper base - a (figure 3.20, c). Connect upper and lower bases with the segments of formative of tangential to the elliptic curves (figure 3.20, d).

 

а) b) c) d)

Figure 3.20 – Modeling the rectangular іzometry of a cylinder