Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 67
to Off,is drawn, that line is com-pletely determined. Itis convenient to restrict a to positive values from 0° to360°. In case we wish to speak of a complete set of parallellines without changing «, it will be necessary to allow p tobe either positive or negative, but every line in the planecan be… … Fig. 34. But for all positions of the V P and -=cos«, or a = cos a p f- = Sill «,0 or sin a Substituting these values of a and 5, the equation of AB becomes x cos a + y sin a = p. [15] Ch. IV, § 35] THE STRAIGHT LINE 51 This is called the normal form of the equation of astraight line. Let the…
Geometry, Analytic
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