Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 57
o the straight line which bisects thedistance between the points {a, b) and {a, b) and also bisects thedistance between the points (- a, b) and (a, - b). 29. Find the equations to the straight lines which go through theorigin and trisect the portion of the straight line 3a;+ 2/= 12 whichis… … I. Let their equations be y — m^x^-G-^ and y ~ in.j,x ^r c.^ By Art. 47 we therefore have tan^ZjA^mi, and td^Vi. AL.^X^Wj.^,.Now L L-^AL^^ —L AL^X — L AL.2.X. tan L^AL^ — tan \AL^X—AL^X\ta,n AL^X—tan AL^X rn^ — n^ (1). 1 + tan AL^X. tan AL^X 1 +mi«i2 ANGLES BETWEEN STRAIGHT LINES. 43 Hence the…
Coordinates · Geometry, Analytic
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