Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 141
from the origin on the line is — Ex. 2. Reduce the equation x — y -\- 7 = 0 to theform x cos a + y sin a = p. t fr^><- ± &X- , ~ —» ~i—r~r=— : * *BX 36 ELEMENTARY ANALYTICAL GEOMETRY Here |/P + 1 = V 2. Dividing the given equation by — y/2 05 1/ i/2 i/2 7~i/2 or, 35 COS 135° + y sm 135°… … Let Q (xv y{) be the fixed point and 6 the Z. Take any point P (x, y) on the line and let QP = r.Draw PM, QN j_ Ox and QR ± PM.qr = pq cos PQR.QR = NM = x — xu and Z PQR = Z Q. X — xx it = r- cos 6 PR = PQ sin PQR. PR = PM - RM = PM 2/ -sin 2/i e = r. x - *l _ y -yi = ; THE STRAIGHT LINE 37 QN = y…
Geometry · Geometry, Analytic
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