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 67
onst., and PPr remains parallel to some direction cutting 5 at a constant angle. Now toJ*:*?™® -Jg.«t; sin (PLQ) ^ 1 Introduced by Mobius in his Barycentrische Calcul, p. 150. 54 PROJECTIVE GEOMETRY. similarly PL = ^^gp =PQ. const.; hence PL const. PL The same result might be found from Fig. 19,… … Fig. 21&. Let the constant slope of PPf be m; then the equation of theray through P is, when £ and tj designate current coordinates,7] — y = rn(£— x), and the distance of L from O, Fig. 21&, is obtained mx—yas X = . Now from the figure A— xf = — k(x— X); eliminat-ing X, there is found (V)…
Geometry, Projective · Geometry, Analytic
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