Geometric Model, L. Brill No. 24. Ser. 3 No. 14, Hyperbolic Paraboloid
date: label: date made
content: 1878-1900
name: label: maker
content: Brill, L.
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.
label: Description
content: The saddle-shaped plaster model shows a hyperbolic paraboloid. The surface is represented by the equation: + y<sup>2</sup>/ b<sup>2</sup> - x<sup>2</sup>/a<sup>2</sup> = - 2z. Sections by any plane where x = c or y=c (c being an arbitrary constant) are parabolas. Sections parallel to the plane z = 0 are hyperbolas. One hyperbola and one parabola both of which pass through the center of the surface, are shown on the model. Also shown are various planar cuts.
label: Description
content: A paper tag on the model reads: Hyperbo [. . .] sches Paraboloid. (/) Verl. v. [. . .] Brill. 3. Serie Nr. 14.
label: Description
content: For a version of this model published by Brill’s successor, Martin Schilling, see 1990.0571.13.
label: Description
content: References:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 7, 59.
label: Description
content: Henry Burchard Fine and Henry Dallas Thompson, <I>Coordinate Geometry</I>, New York: Macmillan Company, 1931, p. 243-244, Figure 5.
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: 1990.0571.12
label: catalog number
content: 1990.0571.12
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: 11.8 cm x 15.7 cm x 15.7 cm; 4 21/32 in x 6 3/16 in x 6 3/16 in