Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . an be shown by arrangingits elevation at right angles to the of the plane, and its plan at right anglesto the of the plane. (2) The inclination of the oblique plane to the complement to the inclination of the line perpendicular to it, to the , andthe inclination of the oblique plane to the is complement to the inclinationof the line perpendicular to it. to the That is to say, to find the inclinations to the planes of projection, made byany plane w
Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . an be shown by arrangingits elevation at right angles to the of the plane, and its plan at right anglesto the of the plane. (2) The inclination of the oblique plane to the complement to the inclination of the line perpendicular to it, to the , andthe inclination of the oblique plane to the is complement to the inclinationof the line perpendicular to it. to the That is to say, to find the inclinations to the planes of projection, made byany plane whose traces are given, represent a line perpendicular to the plane byarranging its elevation perpendicular to the and its plan perpendicular to 16 DESCRIPTIVE GEOMETRY the , and find the inclinations of this line by the method shown in Fig. 4,then subtract these inclinations from 90° in each case, and the inclinations of theplane are obtained. An illustration of the method is shown in Fig. 11, where, to find the inclina-tions of the oblique plane RST a line perpendicular to it is represented at ab, Fig. it. The angle a° is the complement of the angle the fine AB makes with the a° is the inclination of the given plane RST to the ; and, for similarreasons, the angle 0° is the inclination of the plane RST to the EXERCISE VI. Find the inclinations to the planes of projection, of the planes represented at A, B and C,mark with arrow-headed arcs the angles required, and say which angles they are.
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