Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 189
x + xt) + f (y + yj + c = o. 79. By comparing the equation of the tangent xxi + Mi + 9 (x + xi) + f (V + Vi) + c = owith that of the circle x2 + i/2 + 2 gx + 2 /y + c = 0, the following rule is obtained for writing the equationof the tangent at a point (xx, yx) on the circle:— In the equation of… … To find the abscissae of the points where the liney = mx + k cuts the circle, eliminate y by substitution, and »-t-^*a X2 + (mx + ]cy = a\ i.e., (1 + m2) x2 + 2 mJex + lc2 - a2 = 0. If the line is a tangent, the values of x from thisequation are equal to each other, and ;.hn2k2 =/<l + m2) (k2 -…
Geometry · Geometry, Analytic
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