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 52
le. Through a given point A, Fig. 14, draw any ray intersectinga given circle in two points C and D. On this ray determine apoint B in such a manner that the anharmonic ratio (ABCD) = -i, i.e., harmonic. If this operation is repeated for every ray pass-ing through A, the points B on all these rays… … as the equation of the circle and (a, o) as the coordinates of thepoint A. The special position of point and circle has no influenceupon the generality of the result. The equation of any raythrough A may be written m y=(a— x)m. Solving (i) and (2) it is found that the abscissae x1 and x2 of…
Geometry, Projective · Geometry, Analytic
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