Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 139
of an ellipse are 40 and 50. Find theareas of the two parts into which it is divided by the latusrectum. CHAPTER VII.THE HYPERBOLA. Art. 93. The characteristic of the hyperbola is thatthe difference of the distances of any point on it, fromtwo fixed points, is constant. With this understanding of… … Fig. 51. The co-ordinates of P are (OD, PD), say (x, y), O beingthe origin, OX and OY the axes. It is our problem then 130 Analytical Geometry. 131 to find a relation between OD and PD, and the right tri-angle PFD suggests itself. In the right triangle PFD, PF2 = PD2 + FD2 (1).Call the focal…
Geometry, Analytic · Calculus
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