Caption: Mathematical Models by Arnold Emch - Series 4 (1928) This is a reduced-resolution page image for fast online browsing.
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22 Mathematical Models 36. Equianharmonic Cubics. Ei = Xix22 + x2x32 + X3X12 = 0. £2 = X1X32 + x2xi2 + X3X22 = 0. For both Ei and E2 the Hessian H is the same H = X13 + x23 + x32 — 3xix2x3 = (xi + x2 + x3)(xi + ex2 + e2x3) (Xi + e2x2 + ex3) = 0. The realflexesare on the unit-line Xi + x2 + x3 = 0, and the flex-tangents at the realflexesall meet at £ (111). £1 + X£2 = 0 is a pencil of equianharmonics, Fig. 13.
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