SPECIFICS OF THE ORTHOGONAL PROJECTION OF INCLINED CONICAL SURFACES AND A STUDY OF THEIR SHAPE AND SIZE

Abstract

In descriptive geometry classes students are taught the basic rules of the graphic representation of geometric bodies on a plane according to Monge’s method, referred to as orthogonal projection. The main geometrical elements of space are projected - points, straight lines, planes and bodies –angular and rotating, as well as their relative position. This knowledge is subsequently applied in engineering graphics. The bodies that are projected are generally in a particular case and regular ones, i.e. their altitudes are perpendicular to their bases. This paper focuses on inclined round conical surfaces, also known as rotating bodies. But are all cones rotating ones, although they are presented as such in high school studies? This paper is a study of the shape of the different types of conical bodies, as particular consideration is given to the inclined ones and the way they are projected according to the Monge’s method.

Keywords

• orthogonal projection, descriptive geometry, inclined conical surface.