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The imaginary domains of conics and their interpretation in the complex plane (1912)

Wilson, Charles Richard · leaf 126

An illustration from The imaginary domains of conics and their interpretation in the complex plane, 1912, leaf 126
. Since thecircular points are always fixed with respect to any axes, as thex-axis takes different positions, the lines i^ and ig always keeptheir constant slopes +i and -i and b-^ = - b2. In order to prove that the anharmonic ratio of the pointsA^, Ag, B-j,, Bg is constant, we make use of the… … 59 points of the range (S P) have the same anharmonic ratio as thecorresponding four points of the range (T P). Also if the fourtangents P, which form the above point ranges are intersected byany other tangent to the given conic, the four points of intersec-tion have the same anharmonic ratio as…

Conic sections · Geometry, Analytic · Theses

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