Geometric Model, L. Brill No. 8. Ser.3 No. 5, Hyperboloid of One Sheet
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. This object is part of series of models of quadric surfaces (surfaces of degree two) designed in 1878 by Rudolf Diesel, then a student at the technical high school in Munich. It was published by the firm of Ludwig Brill in Darmstadt. 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 plaster model shows an elliptic hyperboloid of one sheet, a surface that can be represented by the equation x<sup>2</sup>/a<sup>2</sup> + y<sup>2</sup>/ b<sup>2</sup> - z<sup>2</sup>/c<sup>2</sup> = 1. Here x and y are axes in the horizontal plane and z is the vertical axis. A plane cutting the surface parallel to the plane z = 0, and any plane parallel to it, produces an ellipse. Sections by the planes x = 0, y = 0, and planes parallel to these, are hyperbolas. A tag on the model reads: 8. Another tag reads: Einschaliges Hyperboloid. (/) Verl. . . . Brill 3. Ser. Nr. 5. Also marked on it are an ellipse (in the plane z = 0) and four sections of hyperbolas (in the planes x = 0 and y = 0).
label: Description
content: The model is missing a section around the top.
label: Description
content: References:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 7, 58.
label: Description
content: Henry Burchard Fine and Henry Dallas Thompson, <I>Coordinate Geometry</I>, New York: Macmillan Company, 1931.
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: 1985.0112.006
label: catalog number
content: 1985.0112.006
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: paper (overall material)
label: Physical Description
content: plaster (overall material)
label: Measurements
content: overall: 23 cm x 23 cm x 12.5 cm; 9 1/16 in x 9 1/16 in x 4 29/32 in