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In 1880, Ernst Lange, a student at the mathematical institute of the technical high school in Munich, working under the direction of Felix Klein, designed four plaster models of space curves of degree three drawn on cylinders with cross sections that are conic sections. All of these curves represent the intersection of a surface of degree two with the cylinder shown.
This model, the fourth in the series, shows the intersection of parabolic cylinder (a cylinder with a cross section that is a parabola) with a cone. The curve is a cubic parabola.
Compare 1985.0112.064 and 1990.0571.21.
L. Brill, Catalog mathematischer Modelle..., Darmstadt: L. Brill,1892, p. 13, 73-74.
Ulf Hashagen, Walther von Dyck (1856-1934): Mathematik, Technik und Wissenschaftsorganisation an der TH München, Stuttgart: Franz Steiner, 2003, p. 90, 100, 102.
E. Lange, Mathematische Modelle XIX. Die vier Arten der Raumcurven dritter Ordnung. pp. 1-3. A copy of this document is available online through the website of the Göttingen collection of mathematical models. Accessed November 13, 2017.
Currently not on view
Germany: Hesse, Darmstadt
plaster (overall material)
overall: 10 cm x 6.7 cm x 7 cm; 3 15/16 in x 2 5/8 in x 2 3/4 in