Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 70
x^)is the required equation. THE STRAIGHT LINE 53 25. Normal Equation of the straight line. — This is theequation in terms of i? (the J_ distance of the line from theorigin) and a (the anglewhich this ± makes withthe (T-axis). Z NOA = a, OD = p. F (x, y) is any point onthe line.… … NowAlso OD = OAcosa..OA=-^- COS a OD = OB cos DOB = OB sin a, .-.OB sm a .. the equation becomes + \COS a/ \Sin a/or X COS a + y sin a = p, as before. = 1, EXERCISES. 1. Find the slope form of the line through (1, 2), (5, — 9),Suggestion.—Lety == mx + & be required equation.Then, 2 = m • 1 + h…
Geometry, Analytic
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