x mil ^— and -+-^ = 0m a- 0- m may be written y = —x. y -,. —X, therefore, ifa- t)i 0 be the angles these lines make with the axis of x, tan ^ = -7, and tan 0 = —;•-•/ a- m Hence tan 0 . tan 0 = - 72 … a relation which in the ellipse always connects thetangents of the angles which any pair of conjugatediameters make with the axis major. The negativesign in the preceding expression shows that in theellipse conjugate diameters fall on opposite sides ofthe axis minor. 164 Analytical Geometry. 84.…
Geometry, Analytic
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