NONCIRCULAR CURVES The basic uniform noncircular curves are the ellipse,
the parabola, and the hyperbola. These curves
are derived from conic sections as shown in
figure 4-43. The circle itself (not shown, but a
curve formed by a plane passed through a cone perpendicular
to the vertical axis) is also derived from
a conic section.
This section describes methods of constructing the
ellipse only. Methods of constructing the hyperbola
are given in Engineering Drawing
by French
and Vierck and in Standards.
Of the many different ways to construct an
ellispe, the three most common are as follows:
the pin-and-string method, the four-center method,
and the concentric-circle method. The
method you should use will depend on
the size of the ellipse and where it is to be
used.
Figure 4-43.-Conic sections: ellipse, parabola, and hyperbula (left to
right).
Figure 4-44.-Ellipse by pin-and-string method.
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