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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 266

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 266
\DP■OC=\\FE=\\ PG; CB = \\ED = \\GP. It is evident that OBPPwill always be a parallelogram no matter how the hnkage maybe deformed. Hence, keeping B and O fixed, P represents inevery position of the linkage a translation of P equal to BO andin the direction of BO. ^ How to Draw a Straight Line.^… … Fig. no. the next group in making up a linear transformation is the dila-tion oc=ao(f. y=^y. The linkage for this transformation is shown in Fig. iii.^Let OA=x. By a Scheiner pantograph (which we choose forthe sake of simplicity), in which OB/OA=a and consisting ofthe links OC, CB, DA and AE, a,…

Geometry, Projective · Geometry, Analytic

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