Geometric Model, L. Brill No. 127. Ser. 5 No. 13c, Surface of Rotation
date: label: date made
content: 1892
name: label: maker
content: L. Brill
notes: label: Description
content: In an 1862 paper on the deformation of surfaces, Edmond Bour (1832-1866), a French mining engineer who went on to serve as a lecturer in descriptive geometry and then professor of mechanics at the École polytechnique in Paris, included drawings of surfaces of revolution of constant positive curvature. These inspired Peter Vogel (1856-1915), an assistant in Munich, to design a set of three models that were first published by Brill in 1878 as part of his Series V. This is one of these models, a second is 1985.0112.090. This example was exhibited at the Columbia Exposition held in Chicago in 1893 and then acquired by Wesleyan University.
label: Description
content: The white plaster model is roughly cylindrical in shape, but indented to a smaller circle twice along its height. In other words, it bulges at the middle. A paper tag reads: 127. Another, torn, paper tag reads: [. . .] Krümmung, [. . .] Ser. Nr. XIIIc. Various geodetic lines are indicated.
label: Description
content: Model 129 (1985.0112.92) fits half way around the middle section.
label: Description
content: References:
label: Description
content: Edmond Bour, “Mémoire sur la déformation des surfaces,” <I>Journale de l’École polytechnique</I>, 22, 39e cahier, 1862, pp. 35-84. For information about Bour, see the MacTutor website.
label: Description
content: L. Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill,1892, p. 11, 80.
label: Description
content: G. Fischer, <I>Mathematical Models: Commentary</I>, Braunschweig / Wiesbaden: Friedr. Vieweg & Sohn, 1986, pp. 32-33. Helmut Reckziegel, writing in Fischer’s volume, calls this a bulge type form of a surface of revolution of constant curvature.
label: Description
content: Ulf Hashagen, “ Die Mathematik und ihre Assistenten an der TH Munchen (1868-1918), <I>Mathematics and Theoretical Physics</I>, <I>Symposia Gaussiana</I>, ed. M. Behara, R. Fritsch, and R.G. Lintz, 1995, pp. 136-140.
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: 1985.0112.091
label: catalog number
content: 1985.0112.091
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: Measurements
content: overall: 10 cm x 12.5 cm x 12.5 cm; 3 15/16 in x 4 29/32 in x 4 29/32 in