The Perspective Theorem:   Let the xy plane represent the picture plane, and assume the viewer's eye is located at the point (0,0,-d) (so that d, a positive number, is the distance from the viewer's eye to the picture plane).

    Given a point P(x,y,z) on an object, with z > 0 (that is, the object is beyond the picture plane), the coordinates x' and y' of its perspective image P'(x',y',0) on the picture plane are given by

    x'=dx⁄(z+d)
    y'=dy⁄(z+d)



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    Janice Sklensky
    Wheaton College
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