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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 167

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 167
K,—A, B, C, D, E; throughtwo of these, say A and B, pass a circle K, and find the center ofperspective S for which K and K are corresponding. In Fig. 62 construct the pole X oi s orAB, which we assumeas the axis of collineation. This is easily done by means ofthe points of intersection P and Q of… … Fig. 62. must be on the line joining X with X\ DX and DX meet ons, in a point R; hence XR cuts K in D. Joining DD andproducing gives on XX the required center 5. Having found S,it is an easy matter to construct further elements of K from thecorresponding elements of K\ THEORY OF CONICS. 155 A…

Geometry, Projective · Geometry, Analytic

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