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Projective geometry for use in colleges and schools (1911)

Milne, William P. (William Proctor), 1881- · London : Macmillan · leaf 97

An illustration from Projective geometry for use in colleges and schools, 1911, leaf 97
If a figure be assigned, we form what is called theReciprocal Figure by replacing each Point A in theoriginal figure by its Polar a with respect to U, andeach Line a in the original figure by its Pole A withrespect to U. 4. Distinction between a Curve regarded as a Loctisand a Curve regarded as an… … Fig. 35. In the first figure the line joining two consecutivegenerating points is a tangent to the curve. In the second figure the intersection of two con-secutive generating lines is a point on the curve, andeach generating line is a tangent. Corollary. TJte reciprocal of a Locus is an En-velope.…

Geometry, Projective

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