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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 54

An illustration from Plane and solid analytic geometry, 1897, leaf 54
By elimination,whence 24x - 72 = 0,X = 3, y = 0. The loci intersect in one point (3, 0). (Fig. 24.) LOCI. 39 Again, it may happen that the elimination causes both x*^and X to disappear, thus showing the equations to be contra-clictory. We have then no point of intersection. Ex. 2. Consider… … We may examine these cases by the method of limits as we did theexceptional case of § 17. In general, if we eliminate y between a givenequation of the second degree and a given equation of the first degree,we obtain a quadratic equation of the form ax- + bx + c = 0. The roots of tliis equation are…

Geometry, Analytic

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