Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 26
known as plotting a curve * from itsequation. The mathematical curved defined by an equation in x andy consists of all those points and only those points whose coordi-nateSy when substituted for x and y in the equation, satisfy it. Suppose, for example, that the equation is (2) y = x\ The point (2,… … Fig. 9 20 ANALYTIC GEOMETRY x is set equal to 2 and y is set equal to 4 in (2), the resultingequation, 4 = 4, is true. We say, equation (2) is satisfied by the coordinates ofthe point (2, 4), or that the point (2, 4) lies on the curve (2)On the other hand, the point (— 1, 2), for example, does…
Geometry, Analytic
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