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Analytic geometry for colleges, universities, and technical schools (1892)

Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 199

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 199
ing). tan 26 = —^— = -^ = 0;c — a — 3 .-. ^ = 0; i.e., the new X-axis is parallel to the old X-axis. (c) To refer the hyperbola to its centre and axes, we have,Art. 139, (4), n = d _ e 2^^~~T7 hence n = \, m ^= -. 2 Substituting in the value of /, Art. 139, (3), we have/ = an -f cm^ + dn + em-\-f =… … Fig. 57. Construct the point 0 (|, 1), and through it draw OX || toOX, and OY || to OY. The equation of the hyperbolareferred to these axes is given in (3). AVe see from this equa-tion that the semi-transverse axis is -. Laying off this dis-tance to the right and then to the left of 0, we locate…

Geometry, Analytic

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