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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 263

An illustration from An introductory account of certain modern ideas and methods in plane analytical geometry, 1894, leaf 263
e segment PP (that is, onesegment or the other) taken twice : but an ordinary pointequation cannot express a terminated portion of a line ; it canexpress only the whole line. Thus the point equation,applicable inditterently to (6) or (c), gives the whole linetwice. Note. In Fig. 60, («), (?>),… … Fid. 00. The Absolute. 266. Thus it appears that the special points co, to, whichare fully represented in line coordinates by a degenerateecpiation of the second degree, cannot be exactly representedin point coordinates; they give simply the line infinity takentwice. The special line that we are…

Geometry, Analytic -- Plane

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