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Caption: Mathematical Models by Arnold Emch - Series 2 (1923)
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22. Sextic. Represents the intersection of a sphere and a cubic cone, Fig. 4. T h e equations for this model are Q=X2+y2 + z2_r2 = Q C = r*y(y2-3x2)-ahs = 0 T h e orthographic projection S' of the space sextic S upon the x y plane has the equation rY(y~V3.x)2(y+V3.x)2+aQ(x2+y2-r2y==0 or r6p&sin23d-a*(r2-p2Y = 0. Thelmzsy = 0yy-V3.x = 0,y+V3.x = 0 are cuspidal double tangents with the cusps on the circle x2+y2 = r2. ^ The sextic S is a closed non-singular curve on the sphere and its projection S' can easily be m a d e to show 6 real double points. [IO]
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