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3.30 Curves and Circles in Perspective

If a circle is parallel to the picture plane, its perspective view is a circle. If the circle is inclined to the picture plane, its perspective drawing may be any one of the conic sections in which the base of the cone is the given circle, the vertex is the station point, and the cutting plane is the picture plane (see Figure 3.71). The centerline of the cone of rays is usually approximately perpendicular to the picture plane, so the perspective will usually be an ellipse.

An ellipse may be drawn using a method of blocking in its center and a box tangent to the ellipse as shown in Figure 3.75. Also shown is a convenient method for determining the perspective of any planar curve.

3.75

3.75 Blocking in Curves in Two-Point Perspective

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