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 22
c lines be assigned so iliat a point inside the tri-aiigle is on the positive side of every one of these lines.We have then , i o , o v For denoting the vertices of the triaiigle l)y A, B, C, we POINT AND LINE COOEDINATES. 7 have for a point inside the triangle a relation among theareas, viz.… … Fk;. 4. that is, aa + h(3 + cy = 2A, as before, since /3 is now (Fig. 4)represented by —PE.Thus we have in general aa + 6/3 + cy = 2A, and consequently when the ratios u: (3 :y are given, thevalues of a, /3, y are known. Now one advantage of using the ratios is that all ourecjuations can be made…
Geometry, Analytic -- Plane
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