Object Details
- Description
- 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.
- References:
- 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.
- Location
- Currently not on view
- Data Source
- National Museum of American History
- maker
- L. Brill
- date made
- 1892
- Credit Line
- Gift of Wesleyan University
- 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
- Object Name
- Geometric Model
- geometric model
