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
d B attach a translatorABIPVLMNH. Produce the link NB arbitrarily to R and 1 This is essentially the arrangement of Hermann Emch in his thesis, loc. cit. 254 PROJECTIVE GEOMETRY. complete the rhombus BRST. To BR and BT attach at B theequal right-angled triangles RBF and TBG, so that BF =… … Fig. hi. BF\IK = PF\ITJ = BP \IP, and PB/BI=p. The point /is now collinear with P and B, and as PA\\IB it follows thatPALOA. Making PA=yf, we find IB = PA=y; PB =fi-IB=py. The coordinates of P are therefore BO=x=ax,PB=y=Py, and we have constructed a linkage realizing dilation. 2. The last group to…
Geometry, Projective · Geometry, Analytic
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