Chapter Loci applications

If a point, line, or surface moves according to a mathematically defined condition, then a curve known as a locus is formed. The following examples of curves and their constructions are widely used and applied in all types of engineering.

Methods of drawing an ellipse

Two-circle method

Construct two concentric circles equal in diameter to the major and minor axes of the required ellipse. Let these diameters be AB and CD in Fig. 10.1.

Fig. 10.1. Two-circle construction for an ellipse.

Divide the circles into any number of parts; the parts do not necessarily have to be equal. The radial lines now cross the inner and ...

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