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
angle. r. PQ ■ sin (PQL) „^Now PL= ^. ,„; Jf, ^ =PQ-const.; sm (PLQ) ^ ^ Introduced by MoBlxJS in his Barycentrische Calcul, p. 150. 54 PROJECTIVE GEOMETRY. similarly hence „,^ PQ sin (PQL) „,^ PT = — - ^- = PO ■ const • ^^ sin(FL(2) ^ P^PL = const. FL The same result might be found from Fig. 19,… … Fig. 2I&. Let the constant slope of PP be w; then the equation of theray through P is, when ^ and -q designate current coordinates,ri — y = in{z — x), and the distance of L from O, Fig. 21&, is obtained Now from the figure X—x = — k{x—X)\ eliminat- as i = - m ing X, there is found(V) X =x—…
Geometry, Projective · Geometry, Analytic
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