Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 46
Ax + By — Ax1 + Byx. 11. Show that the equation of the line through the point(xi> Vi) perpendicular to the line (3) of Ex. 10 is Bx — Ay — Bxx — Ayv 7. Angle between Two Lines. Let Lx and L2 be two givenlines, whose slopes are, respectively, Ai = tan 0l9 and k2 = tan $2.To tind the angle,… … Fig. 6 That is, it is the 1 + Ai*2 The angle (f> is the angle from L\ to L2.angle through which Lx must be rotated in the positive sense,about the point A, in order that it coincide with L2. In par-ticular, we agree to take it as the smallest such angle, alwaysless, then, than 180° : 0 <…
Geometry, Analytic
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