Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 145
, 0), (0, 36) arein a st. line. \ 13. Show that the intercept made on the line x = k bythe lines Ax -\-By + O = Q and Ax + By -f- C = 0 is thesame for all values of k. 14. P (xv yx) is any point and the lines Ax -f- By + C = 0cuts Ox, Oy at N, R respectively. Show that /\ PNR = 2^B (Axi + B^i +… … Let AB be the line y = mxx + bx and AC be the liney = m.jX -f b2 when B, C are on the axis of x. LetL BAC = 6. Then n\ = tan AB£, m9 = tan AC#. .*. tan 6 z 6 = z ABj? — z ACr fcm AB21 — ton AC.s -tc^G-rto^* _ HC*- w. 0 = tan 1 + tan AB£. tan ACx 1 + m1m2m, — m., 1 + m^ (fn)) Let the given equations…
Geometry · Geometry, Analytic
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