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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 198

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 198
xes. Construct the two lines.From the original equationwe see that the curvetouches the X-axis atthe point (4, 0), and doesnot cut the F-axis. It is then easily seen which FlG- 91- is the positive direction of the axis OX, and the curve can beplotted as in Fig. 91. 2. Plot by this method the locus… … 183 ANALYTIC GEOMETRY [Ch. XIII, § 97 when A = 0, • 97. Summary. — It has been shown in this chapter thatthe general equation of the second degree represents, and when B2 — 4 AC < 0, an ellipse (real or imaginary),when A * 0, j ftnd when & _ 4 A Q = ^ ft parabola? and when B1 — 4 A C > 0,…

Geometry, Analytic

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