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 40
cils w— Xv = o and r—Xks = o have the given pointsas vertices. § 8. The Complete Quadrilateral.1 In § 5 it has been found that if p and q are linear expressionsin x and y, 1 See Elemente der analytischen Geometrie by F. Joachimsthal, pp. 131-142. PENCILS AND RANGES. 27 p=o,q=o, ap+Pq = o) (P \ap-Pq… … Fig. 9. r = o, 5 = 0 be the equations of two pairs of rays, Fig. 9. Theequations of the rays passing through the vertices of these pairsare cf the form ap-\-(3q = o and ar+/?/s = o respectively. Forcertain values of a, ft and a, /? these equations may both rep-resent a ray passing through the…
Geometry, Projective · Geometry, Analytic
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