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

Wilson, Charles Richard · leaf 58

An illustration from The imaginary domains of conics and their interpretation in the complex plane, 1912, leaf 58
am2l3 - 2 dml4 + fl5) (af - d2) /af - d2 3. A Discussion of the System of Conies which is doublytangent at J-^ and Jg and the corresponding system derived by trans-formation II. We must first extablish the condition for a system of con-ies to be tangent to each other at two given points. In Fig.… … 25 giii + h €fi + 2x1 £i ofx tfx qTxdy — dx g€H ; h t& + 2M & tfy cTy cTy But when 1=0 and h = 0, that is at the point Tx,cTh dy_ = _ , which is the slope of the line h 0. dx cTh Since £2. is the slope at any point in the above system of conies,dx and at the slope of every conic is the same…

Conic sections · Geometry, Analytic · Theses

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