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Caption: Mathematical Models by Arnold Emch - Series 4 (1928) This is a reduced-resolution page image for fast online browsing.
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IV Series 35 Fig. 22 One method to gain some insight into the configuration of these tritangent planes is by the study of the Riemamian theta functions connected with the problem. It is thus found that there are 2?-1 (2P ~ 1) = 23 (24 - 1) = 120 point-groups of the canonical series, each consisting of three couples of coincidences. Hence the general sextic C% of genus four in S% has 120 tritangent planes. The question m a y be asked, is it possible that all 120 tritangent planes m a y be real? Model No. 49 has been designed to show that this i possible. The sextic is obtained as the intersection of a cubic s cone whose base, Fig. 23, in the plane x4 = 0 m a y be written as xix2x3 — (aiXi + a2x2 + a3x3)3 = 0,
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