To draw a parabola from part of a cone

Figure 12.3 shows the method of drawing the parabola, which is a true view on the line AB drawn parallel to the sloping side of the cone.

Auxiliary View With Pencil

Parabola

Parabola

1 Draw a centre line parallel to line AB as part of an auxiliary view.

2 Project point B to the circumference of the base in the plan view, to give the points B1 and B2. Mark chord-width B1B2 in the auxiliary view and in the end elevation.

3 Project point A onto the other three views.

4 Take any horizontal section XX between A and B and draw a circle in the plan view of diameter D.

5 Project the line of section plane XX onto the end elevation.

6 Project the point of intersection of line AB and plane XX to the plane view.

7 Mark the chord-width W on the plan, in the end elevation and the auxiliary view. These points in the auxiliary view form part of the parabola.

8 Repeat with further horizontal sections between A and B, to complete the three views.

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