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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 155

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 155
asquare, and it must therefore be possible to apply the previousconstruction to any quadrilateral. The distances KC and OC,Fig. 55, must now be divided perspectively into a number ofequal parts. The fundamental principle of perspective divisionis the following: // KC as a side of a rectangle AKCO,… … Fig. 55. In the first place, the points AB, C, E, etc., were obtained bythe application of this principle to the given quadrilateral. By the same principle KM and CM may be again bisected. THEORY OF CONICS. 143 OC may be subdivided in the same manner. Fig. 38, § 27, illus-trates the construction of…

Geometry, Projective · Geometry, Analytic

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