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too complicated to be written here. Click on the link to download a text file. |
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X(1), X(484), X(758), X(759), X(3065), X(5525), X(7313), X(73032), X(73033), X(73034), X(73035), X(73036), X(73037), X(73038), X(73039), X(73040), X(73041), X(73042), X(73043), X(73044), X(73045), X(73046), X(73047), X(73048) |
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Geometric properties : |
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K1452 = cK(#X1, X14838) where X(14838) is the complement X(1577). It is the excentral-polar-circle-inverse of the Stammler diagonal rectangular hyperbola (H) with center X(110), passing through the excenters and X{1, 3, 6, 155, 159, 195, 399, 610, 1498, 1740, 2574, 2575, 2916, 2917, 2918, 2929, 2930, 2931, 2935, 2948, 3216, etc}. K1452 is a member of CL003 where more general properties are given. It is a strophoid with singular focus X(759) and node X(1), with nodal tangents parallel to the asymptotes of the Jerabek and Stammler hyperbolas. Compare K1452 and K038, the inverse in the circumcircle of (H) and the complement of K025. If M = u : v : w ≠ X(1), the point M' = [b c (b+c-a) (b^2-c^2) u + a c(a-b) (a^2+a b+b^2-c^2) v +a b (c-a) (a^2+a c+c^2-b^2) w] / (c v-b w) : : , is a point on K1452. |