The imaginary domains of conics and their interpretation in the complex plane (1912)
Wilson, Charles Richard · leaf 64
the conic K has at those points,and therefore such a system is doubly tangent at those points. To find the lines through and J2 which are tangent tothe system of conies f(x,y) =_ K + Ay2 = 0, orf(x,y) = ax2 + 2 bxy + cy2 + 2 dx + 2 ey + f + Ay2 = 0,ax2 + 2 bxy + (c + A)y2 + 2 dx + 2 ey + f = 0. To… … Fig. 5. 28 -ill - 2 b ( -d 4 ll/af - d2 ) 2_bd_ + 2J>_ ± yj^—52 y a a + 2 e. /. the equation of the tangent through J1 is ( x - -d + i V/af - dg, } 2 4 v^iTT-iS + y(. LJbd. + 2_b^ i l/af - d2a a a + 2 e) s 0 , which reduces to a a + ey = 0 To find the equation of the tangent through J2…
Conic sections · Geometry, Analytic · Theses
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