
 
Caption: Mathematical Models by Arnold Emch  Series 3 (1925) This is a reducedresolution page image for fast online browsing.
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Fig. 3 which reduces to an equation of the fourth degree. Every plane z = k cuts this surface in a circle and must therefore cut the surface in another conic. Making the equation homogeneous, it is easily seen that the line s is a nodal line which absorbs that second conic. There are two other lines on the quartic, namely the two possible transversals p and q of / g, h, and s. Thus there are altogether 5 lines and , a nodal line on the surface. Fig. 3, 29. Cubic Surface. T h e method of generating this surface is the same as in N o . 28. T h e three lines / gy hy of which the first two intersect at the origin, , are defined by / lX = % X iX = Z h [X = \ , while \y = z g \y= ~z [8] \y=0 '
 