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An introduction to projective geometry and its applications; an analytic and synthetic treatment (1905)

Emch, Arnold, b. 1871 · New York, J. Wiley & sons; London, Chapman & Hall, limited · leaf 160

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 160
re possible to construct four points A, B, C, D of arectangle as the points whose perspectives are four given pointsA, Bf, C, Df of the conic. As has been explained in § 27, thetwo diagonal points M and Nr determine the vanishing-line andare the vanishing-points of the pairs of parallel sides AB,… … Fig. 59. lineation s must be chosen parallel to q or MN1 at any distancefrom it. From 5 and s, A BCD is perfectly determined. Todetermine its position in space the distance-circle with S as acenter must be given. There are therefore three elements, S, s,and distance-circle, which determine A BCD,…

Geometry, Projective · Geometry, Analytic

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