Geometric Model, M. Schilling No. 33. Ser. 3 No. 14, Hyperbolic Paraboloid
date: label: date made
content: 1900-1914
name: label: maker
content: Schilling, Martin
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 and by his successor Martin Schilling – this is Schilling’s version of the model.
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 in the form of hyperbolas.
label: Description
content: A paper tag on the model reads: [. . .] rbolishes Paraboloid. (/) 3. Serie, Nr. 14. (/) [. . .] v. Martin Schilling, Leipzig.
label: Description
content: For a version of this model published by Schilling’s predecessor, Ludwig Brill, see 1990.0571.12.
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: Description
content: M. Schilling, <I>Catalog</I>, 1911, p. 7, 114.
label: Location
content: Currently not on view
place: label: place made
content: Germany: Saxony, Leipzig
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: 1990.0571.13
label: catalog number
content: 1990.0571.13
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: 12 cm x 15.4 cm x 15.4 cm; 4 23/32 in x 6 1/16 in x 6 1/16 in