Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 64
ng an angle e with the axis of X, Ifwe write m for tan e, it becomes or y - y mx — y - m(x — x),mx + ^/ = 0, (c) which, compared with the general formAx -\- By -\- C = 0, ^= - 1; gives m: C = - 77ix 4- y\ 45. To find the equation of a line passing through tiuogiven 2Joints. Let {x^y y^ and (x^, yj… … THE STRAIOHT LINE. 49 Subtracting the first equation of {d) from (a), we have y -y. = H^ - ^,),and substituting the vahie of m gives 2/ - y. = ■F^f(^ - *.) (16) *^2 — ^1 which is the required equation in which the parameters m andh are replaced by the co-ordinates of the given points. To reduce the…
Geometry, Analytic
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