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Plane and solid analytic geometry; an elementary textbook (1901)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 54

An illustration from Plane and solid analytic geometry; an elementary textbook, 1901, leaf 54
of any point not on the line. The student should here, and in all the followingdemonstrations, assure himself that the proof is perfectlygeneral. Place the linesand points in differentpositions, being carefulto give the same letterto corresponding points,and the demonstrationsought to hold, letter… … 36 ANALYTIC GEOMETKY [Ch. IV, §§ 24, 25 24. Line determined by its intercepts. — If the two given points should be, in particular, the points where theline cuts the axes, or if, in other words, the intercepts aand b are given, the equation can be found easily by sub-stituting (a, 0) for (xv y^) and…

Geometry, Analytic

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