Abstract

The theory of perspective is developed by first deducing the equation of the straight line in the picture plane which is obtained by projecting on to it, using conical projection from the observer, a straight line parallel to the plane of the ground. From this equation the coordinates of the vanishing point are found in terms of the perpendicular distance from the observer to the picture plane and the angle between the picture plane and the vertical plane containing the line that is projected. The reason why vertical lines do not have a vanishing point is discussed. An example is given showing why a plane representation of actual space involves distortion.

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