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too complicated to be written here. Click on the link to download a text file. |
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X(2), X(11058), X(40344) other points below |
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Geometric properties : |
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Osiris cubics are introduced in Table 75. K1168 is the only equilateral cubic of the net. It has three real asymptotes bounding an equilateral triangle with center X(140). These are parallel to those of pK(G, X11057) = K092, the only isotomic pK60. K1168 meets the Steiner ellipse (S) at A, B, C and three other points S1, S2, S3 also on pK(G, X40344). K1168 meets the medians again at A1, B1, C1 on the ellipse (S'), the image of (S) under the homothety h(G, –5/4). See K1167. |