An introductory account of certain modern ideas and methods in plane analytical geometry (1894)
Scott, Charlotte Angas, b. 1858 · London, New York : Macmillan and Co. · leaf 161
nFig. 36 (6). Draw AM, ON, AM, CN perpendicidar toVB; then AB:BG=AM: NO, AB: BC = AM: NC :therefore AB A/B_AM AM_ AM NO _VA VC_VA VABC ■ BC ~ NG • XC~A3r NC~ VA VC~ VC VC 146 CROSS-RATIO, HOMOGRAPHY, AND INVOLUTION. Thus the relation of the two ratios can be expressed interms of the distances from… … Thus although the relative position of three points on aline can be altered by projection to any desired extent, theposition of any fourth point D is reoulated by the fact that .,., : ..,, is unalterable by projection. This is a combination of lengths AB, etc. and therefore depends on metric…
Geometry, Analytic -- Plane
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