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 260
62. Peaucelliers Inversor. In our particular investigation of link-motions the problemto draw a straight line theoretically correct is of the greatest im-portance. This can be done by Peaucelliers inversor (loc. cit.)or by Harts linkage (Koenigss Cinematique, p. 267). Peau-celliers inversor is of… … T-- L Fig. 104. by pivots, Fig. 104. Designating OA = OB by a, AP = PB = BPr =PfA = b, A A = c, we have OA= \(OP+OP),AP = i(OP- OP);i(0P+0P)2 = a2-c2; c2 = b2-\(OP-OP)2, or l(OP+OP)2-HOP-OPy^a2-!)2, or finally OP-OP=a2-b2. Hence, if O is kept fixed, the points P and Pr are inversewith respect to a…
Geometry, Projective · Geometry, Analytic
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