Geometric Model, L. Brill No. 90 b. Ser. 6 No. 19b, Third Order Space Curve


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 were conic sections. All of these curves represented the intersection of a surface of degree two with the cylinder shown.

This model, the second in the series, shows the intersection of two hyperbolic cylinders, on the surface of a hyperbolic cylinder. The curve of intersection, called a cubic hyperbola, is incised on the model.

Compare 1985.0112.062 and 1990.0571.22.

The example of this model in the Göttingen collections has two parts.


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. 1-2. A copy of this document is available online through the website of the Göttingen collection of mathematical models. Accessed November 13, 2017.

Date Made: 1892

Maker: L. Brill

Location: Currently not on view

Place Made: Germany: Hesse, Darmstadt

Subject: Mathematics


See more items in: Medicine and Science: Mathematics, Science & Mathematics


Exhibition Location:

Credit Line: Gift of Wesleyan University

Data Source: National Museum of American History

Id Number: 1985.0112.062Catalog Number: 1985.0112.062Accession Number: 1985.0112

Object Name: Geometric Modelgeometric model

Physical Description: plaster (overall material)Measurements: overall: 10.2 cm x 4.5 cm x 8 cm; 4 1/32 in x 1 25/32 in x 3 5/32 in


Record Id: nmah_693938

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