A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 304
nce. Then OE and OD are thevalues of x. For OE = .t, OE x OD =OE X EA = OE (OA -OE.) = x{p- .?)= rq\ or x^ — px + rq = 0. For OD= X, OD X OE = OD (OA - AE) = OD (OA— px + 7q = 0. Observe that the former value of x is greater than the latter, but that neitheris negative. So also, we may readily see… … Fig. 439. OD) = X ip — x) = rq\ or a;- FouRTH Form, x^ + px + rq = 0.—The constniction is the same as the last, only both values of x are negative. Thus, (— x) [p(p + x) = rq, — px — X- — 7q = 0, or x- + px + rq = 0. (- ^0] = (- ^O ScH.—Thus we see that we can construct any equation of the second…
Geometry · Trigonometry
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