Smart, Edward Howard · London : Macmillian and Co. · leaf 77
the given curve, P will trace outanother curve possessing the following properties : (1) The distances between pairs of corresponding points are always in the constant ratio k. (2) The tangents at corresponding points are parallel. Let P and Q be two points on the given curve, P, Q thecorresponding… … Fig. 21. Now if P and Q move up to ultimate coincidence, so alsowill P and Q on the derived locus, and in the limit thetangent at P to the given curve is parallel to the tangent atP to the derived locus. The derived locus is thus similar and similarly situated tothe given locus. Such figures are…
Geometry, Projective
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