Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 120
e equation of a straight line (Fig.63). 87. Reduction of Ajc+Bi/ + C=0 to the normal form. The problembefore us consists in reducing thegiven equation Ax + Bi/+C = 0 (1) to the form xcosa + y sina—p = 0. (2) Since (2) is to be the equation of the same line as (1), the twoequations can differ only… … Fig. (i3 l = k^(A- + B-), or k = Therefore ± VA^ + £2 cos a = , SlU a = B :, and — p C . . (4) In order to determine which sign shall be given to the radicalin any numerical example, we shall assume that |> is always a positive number and then, from(4), the sign of the radical musthe opposite to…
Geometry, Analytic
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