Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 195
2 _ 8 = 0, or ^ _i_ l! = 1 . . . (4) 2^4 ^ ^ for the reduced equation. The semi-axes of the ellipse area = V2 and & = 2.(d) To construct. Draw the axis OX, making an angle of 45° with the oldX-axis. See (b). Draw OY 1 to OX. The equation of thecurve when referred to these axes is given in (3).… … Fig. 55. Having the semi-axes, V2 and 2, we can construct theellipse by either of the methods given in Art. 78. DISCUSSION. If 2/ = 0 in (1), we have for the X-intercepts 0, OD, 3 If cc = 0 in (1), we have for the Y-intercepts 0, OC, 7/ == 0, 7/ = - . If £c = 0 in (3), we have y = j- 0; i.e., the…
Geometry, Analytic
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