Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 47
ines of reference. Algebraicsigns are to be attached to each of these distances according tothe side of the line of reference on which P lies, the positive sideof each line being assumed atpleasure. The coordinates of P are defined as the ratios of three quantities x, x^ xs such that x^.x2:x=… … (i:o:o) Fig. 8 furnishes the condition —=con- stant, which is satisfied by anypoint on a unique line through A. Similarly, the ratio x^: xg= a2: agis satisfied by any point on a unique line through C. If these linesintersect, the point of intersection is P, which is thus uniquelydetermined by its…
Geometry, Analytic
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