Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 72
t very little fromthe corresponding forms of the equation in rectangular coordi-nates. First, we will obtain the equation of the line when it isdetermined by b and the angle 6. Let AB be the given line, cutting off the intercept b on they axis and making an angle 0 with the x axis, the angle… … Fig. 30, .*. by Trigonometry, y-b whence sin 6 sin (w — 6)sin 0 or if, for brevity, we denotewe have sin (w — 9)sin 6 x + b;by n, sin (o) — 6)y = nx + b, (1) exactly the same form that we found for rectangular coordi-nates, but with a new meaning for the coefficient of x.As we found the equation a…
Geometry, Analytic
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