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Caption: Mathematical Models by Arnold Emch - Series 2 (1923)
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24. Sextic. String model of a sextic obtained as the intersection of a quadric and a cubic surface. T h e quadric is a hyperboloid of revolution of one sheet; the cubic a cylinder whose central axis coincides with that of the hyperboloid. T h e sextic consists of six branches which are distinct in the finite region of space, but which connect at infinity in a manner which can easily be ascertained by a study of the model, Fig. 6. T h e sextic is of genus 4. 25. Sextic. This is also a string model and differs from N o . 24 by the fact that the cubic is a tritangent-cylinder of the hyperboloid. T h e sextic thus acquires 3 effective double points, and projects into a plane sextic with 9 double points, i.e., into an elliptic sextic, Fig. 7. Erratum. In Series I, N o . 8, read second equation x2+y2-(z-3a)2-2Xx = 0. [12]
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