UIHistories Project: A History of the University of Illinois by Kalev Leetaru
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Repository: UIHistories Project: Mathematical Models by Arnold Emch - Series 3 (1925) [PAGE 12]

Caption: Mathematical Models by Arnold Emch - Series 3 (1925)
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the quadrilateral S1S2S3S±. 24 points of the G2iform 6 involutions with the EikS as centers and the 6 planes through the edges of the coordinatetetrahedron and the unit-point, taken in the proper order, as axial planes, All quadrics of the G ^ f o r m a pencil and touch each other ana the cone 2(#,- — xk)2 = 0 along its intersection with e. For convenience, the construction has been carried out in Carterian space, so that w h e n %hxixkxi denotes any of the substitutions, the point will have the coordinates x = xh/xhy = xt /xh z = xk/xi. In the model the starting point is (1234), or x = 3^b y = % > z = % . T h e scale is then throughout multiplied by 72, so that this point is n o w (18, 36, 54). T h e six sets of 12 lines each are shown in different colors, Fig. 6.

Fig. 6

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