Geometric Model, L. Brill No. 90. Ser. 6 No. 19a, Space Curve of Third Order, Cubic Ellipse
date: label: date made
content: ca 1900
name: label: maker
content: Brill, L.
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: [. . .] Ordnung.
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 Ordnunge</I>. pp. 1-2. A copy of this document is available online through the website of the Goettingen collection of mathematical models. Accessed November 13, 2017.
label: Description
content: Mathematics Institute of Oxford University website. This claims 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: Description
content: E. Lange, <I>Mathematische Modelle XIX. Die vier Arten der Raumcurven dritter Ordnunge</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: 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
label: See more items in
content: Science & Mathematics
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1990.0571.24
label: catalog number
content: 1990.0571.24
label: accession number
content: 1990.0571
objectType: label: Object Name
content: Geometric Model
physicalDescription: label: Physical Description
content: plaster (overall material)
label: Measurements
content: overall: 10 cm x 8 cm x 4.7 cm; 3 15/16 in x 3 5/32 in x 1 27/32 in