Geometric Model, M. Schilling No. 151c, Ser. 6 No. 6c, Space Curve of Third Order, Cubic-Hyperbolic Parabola

Geometric Model, M. Schilling No. 151c, Ser. 6 No. 6c, Space Curve of Third Order, Cubic-Hyperbolic Parabola

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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 are conic sections. All of these curves represent the intersection of a surface of degree two with the cylinder shown.
This model, the third in the series, shows the intersection of parabolic cylinder (a cylinder with a cross section that is a parabola) with a cone. A straight line segment and two curves that approach it asymptotically are indicated. A tag on the model reads: Raumcurve 3. Ordnung. (/) 6. Serie, Nr. 6c. (/) Verlag v. Martin Schilling, Leipzig. There are further markings in ink on the label.
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.
Martin Schilling, Catalog, 1911, p. 13, 132.
Location
Currently not on view
Object Name
Geometric Model
date made
ca 1905
maker
Schilling, Martin
place made
Germany: Saxony, Leipzig
Physical Description
plaster (overall material)
Measurements
overall: 10 cm x 6.6 cm x 7 cm; 3 15/16 in x 2 19/32 in x 2 3/4 in
ID Number
1990.0571.23
catalog number
1990.0571.23
accession number
1990.0571
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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