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 38
ig. 14), and let y = mx + bbe the slope equation of the line AB; then b — b andm tan = PQx = - tan PQO. Also tanPQO = -• .-. m=-- . a a Substituting these values of m and b thus expressed, bya and b in the slope equation, 6 y= - -x + b, or f + -=i . . (D)* a b a [dividing by b and transposing].… … straight line determined by a perpendicular to the line* The same result could be derived from (B) by substituting(a, o) for (*, /) and (6, o) for (x, y). 30 Analytical Geometry. from the origin, and the angle which this perpendicularmakes with the #-axis. Let OD be a J_ to the line AB from the…
Geometry, Analytic · Calculus
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