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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 46

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 46
passes to the limiting posi-tion of /, it is easily found that PL and PLI are the tangentsfrom P to the curve of the second order. B. Projective Ranges.—Let A, B, C and A, B, C be threepairs of corresponding points on the lines / and / respectively,Fig. ii. These determine two projective ranges of… … Fig. ii. As the ray CO or CC is common to both, it follows that theyare in perspective; i.e., the points of intersection of the rays CAand CA, CBf and CB, etc., are all on the same straight line,say p. Hence, if any point X of the first range is given, the corre-sponding point Xr is found by…

Geometry, Projective · Geometry, Analytic

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