Geometric Model, L. Brill No. 22. Carton Ser. No. 5, Paraboloid Made from Cardstock
date: label: date made
content: 1892
name: label: maker
content: L. Brill
notes: label: Description
content: In the nineteenth and early twentieth century, students studying technical subjects often learned about the representation of surfaces by equations in courses in solid analytic geometry. Schools in Europe, the United States, and Japan sometimes purchased models to illustrate such surfaces. The firm of Ludwig Brill in Darmstadt published this one as part of a series of paper models (the “Carton” series) designed by Alexander Brill and first issued in 1874. This example was exhibited at the German Educational Exhibit at the Columbian Exposition held in Chicago in 1893, where it was purchased by Wesleyan University.
label: Description
content: The green paper model of an elliptic paraboloid consists of portions of twelve circles intersecting portions of twelve other circles. It is stored flat in a gray paper envelope which also contains model 1985.112.004. The envelope is in a brown box with the other models in the Carton series. A mark on model reads: Verlag von L. Brill in Darmstadt.
label: Description
content: The surface shown can be represented by the equation x<sup>2</sup>/a<sup>2</sup> + y<sup>2</sup>/ b<sup>2</sup> = - 2z (when the model is mounted on the stand as shown, the z-axis goes cross-wise). It is displayed on a stand that is part of 1985.0112.005.
label: Description
content: References:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 1, 59.
label: Description
content: Henry Burchard Fine and Henry Dallas Thompson, <I>Coordinate Geometry</I>, New York: Macmillan Company, 1931, p. 242.
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
creditLine: label: Credit Line
content: Gift of Wesleyan University
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1985.0112.018
label: catalog number
content: 1985.0112.018
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: paper (overall material)
label: Measurements
content: overall: 14 cm x 14 cm x 9.5 cm; 5 1/2 in x 5 1/2 in x 3 3/4 in