Caption: Mathematical Models by Arnold Emch - Series 4 (1928)
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24 Mathematical Models 38. Cubic Invariant in Involulorial Quadratic Transformation. C = xi (x22 + x32) + x2 (x32 + X12) + xs (xi2 + x22) + \xix2xs = 0. is invariant in pxi = x2xS} px2 = xsx\, px3 = X\X2. P and Pf are corresponding points, also a couple on cubic considered as Hessian = Steinerian of three other cubics. The join of P and P' envelopes Cayleyan class-cubic, Fig. 15. Fig. 15 Ui*+ u2z+ uzz— U\ (u22 + Us2) — u2 (u32+ U12) — uz (ui2 + u22) + \U1U2U3 = 0. Fi, F2l Fs are real flexes. BB\B2BZ are here invariant points and A\A2Az fundamental points of transformation.
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