Geometric Model, L. Brill No. 90 [a]. Ser. 6 No. 19a, Third Order Space Curve
date: label: date made
content: 1892
name: label: maker
content: L. Brill
notes: label: Description
content: 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.
label: Description
content: This model, the first in the series, shows the intersection of a cone with an elliptic cylinder. The curve of intersection, called a cubic ellipse, is incised on the model. A paper tag on the model reads: Raumcurve 3. Ordnung. (/) Verl. v. L. Brill. 6. Ser. Nr. XIXa.
label: Description
content: Compare 1985.0112.061, 1990.0571.24, and 1990.0571.25. For another curve drawn on an elliptic cylinder, see 1982.0795.32
label: Description
content: References:
label: Description
content: L. Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill,1892, p. 13, 73-74.
label: Description
content: E. Lange, <I>Mathematische Modelle XIX. Die vier Arten der Raumcurven dritter Ordnung</I>, 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.
label: Description
content: Mathematics Institute of Oxford University website. This indicates that the intersecting surfaces are an elliptic cylinder and a hyperbolic parabola.
label: Description
content: Ulf Hashagen, <I>Walther von Dyck (1856-1934): Mathematik, Technik und Wissenschaftsorganisation an der TH München</I>, Stuttgart: Franz Steiner, 2003, p. 90, 100, 102.
label: Location
content: Currently not on view
place: label: place made
content: Germany: Hesse, Darmstadt
topic: label: Subject
content: Mathematics
setName: label: See more items in
content: Medicine and Science: Mathematics
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content: Science & Mathematics
creditLine: label: Credit Line
content: Gift of Wesleyan University
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1985.0112.061
label: catalog number
content: 1985.0112.061
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric model
label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: plaster (overall material)
label: Physical Description
content: paper (overall material)
label: Measurements
content: overall: 10.4 cm x 8 cm x 5 cm; 4 3/32 in x 3 5/32 in x 1 31/32 in