Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 107
traight lines is thereforezero and, since they both pass through the origin, they aretherefore coincident. This may be seen directly from the original equation.For if A^ = ah, i.e. h = J ah, it may be written ax^ 4- ^Jah xy + hy- =^0, i.e. [Jax-\- JhyY=0. which is two coincident straight lines. 92… … L^OM^ and LJ)M.^ inclined at angles B^ and 0.^ to the axisof £c, so that (1) is equivalent to b{y -X tan 6-^ (y - x tan 0^ = 0.Hence tan 6^ + tan ^o = —;- , and tan 0^ tan 6^ — -.. .(2).6 1 ^ b Let OA and OB be the required bisectors. Since z AOL^ = / L^OA, :. iA0X-e^ = 6^~- lAOX. :. 2 lAOX^-B^ +…
Coordinates · Geometry, Analytic
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