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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 267

An illustration from An introduction to projective geometry and its applications; an analytic and synthetic treatment, 1905, leaf 267
and B attach a translatorABIPVLMNH. Produce the link NB arbitrarily to R and ^ This is essentially the arrangement of Hermann Emch in his thesis, loc. dt. 254 PROJECTIVE GEOMETRY. complete the rhombus BRST. To BR and BT attach at B theequal right-angled triangles RBF and TBG, so that BF=BG.Complete… … Fig. III. BF:IK = FF:IU=BP .IP, and PB/BI=^. The point /is now colhnear with P and B, and as PA^IB it follows thatPA _L OA. flaking PA = /, we find IB = PA = y; PB =^■IB=^y. The coordinates of P are therefore BO^x^^ax,pfB = y=l3y, and we have constructed a linkage realizing dilation. 2. The last…

Geometry, Projective · Geometry, Analytic

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