The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 72
latter line (orits extension) meetMP (or its extension)in S. Take U on theline M^ P so that theangle X^ M U shallbe 90° of positive ro-tation. T and X are,of course, to be chosensothatJ/Tandil/^shall have the direc-tions of O X2.x\6. OXK From the figure and § 3, we have TMU= TMX> + XMV = {f +… … But O /? = O Af cos 0 = x cos {y M S = M Pcos (90° + d) = - M Ps\n if = -/ sin & RAP = OAf sin 0^ = x sin (f .S^ P = AfP sin (90° + {y) = M Pcos r^ = / cos & . Substituting in equations (i) and (2) the values found in (3)-(6), we have X = x cos i> — y sin &y = a; sin i*)- + y cos…
Geometry, Analytic -- Plane
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