Abstract

There is often difficulty in handling problems involving two- and three-dimensional geometrical constructions. The examples in this chapter are included in order to provide a background in solving engineering problems connected with lines, planes, and space. Copying a selection of these examples on the drawing board or on CAD equipment will certainly enable the reader to visualize and position the lines in space which form each part of a view, or the boundary, of a three-dimensional object. It is a necessary part of draughting to be able to justify every line and dimension which appears on a drawing correctly. In this chapter examples of bisecting lines, angles and arcs, finding the centre of an arc, inscribing a circle within a triangle, circumscribing a circle around a triangle, constructing hexagons and Octagons given the distance across the corners or flats and tangency are shown and can be used as learning aids.

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