Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 81
upper sign is used for the bisector of the anglein which the origin lies. If the lines are given in the form X cos a +2/ sin a =p (1) X cos a^ + y sin a^ =Px (2) the bisectors are x^ cos a + ^j sin a — ^ = ± (x^ cos a^ -\- y^ sin a^ — p^.Note. — The subscripts to the letters a:, ?/, may be dropped… … Fig. 72. Let the required equation be y — 1/1 = ^^ (-^ — ^i)-en, cf> = e - e\ or $ - 6, Th tan cf> = or ??2. . . m = 1 + ^^771 1 4- mm m + tan ^ 1 =f= VI tan <^ THE STRAIGHT LINE 65 .. Tlie required eqnation is m ± tan <^y ~~ y^~ 1 qi m tan <^ (x-x^). 37. Oblique Axes. Equation of…
Geometry, Analytic
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