Geometric Model, M. Schilling No. 190 or L. Brill No. 101. Ser. 3 No. 16, Hyperbolic Paraboloid
date: label: date made
content: 1900-1914
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 or its successor, Martin Schilling in Leipzig.
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 parts of parabolas. Sections parallel to the plane z = 0 are parts of hyperbolas. A grid of perpendicular lines of curvature is shown on the model.
label: Description
content: A tag on the model reads: 3. Ser. Nr. 16. The use of the abbreviation "Ser." (and not "Serie") on the label suggests that the model was sold by Brill and not Schilling.
label: Description
content: Compare 1985.0571.15 and 1985.0112.74.
label: Description
content: References:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 7, 77.
label: Description
content: Gerard Fischer, <I>Mathematical Models</I>, Braunschweig / Wiesbaden: Friedr. Vieweg & Sohn, 1986, vol. II, pp.25-28.
label: Location
content: Currently not on view
place: label: place made
content: Germany
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: 1990.0571.14
label: catalog number
content: 1990.0571.14
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 15.8 cm x 15.8 cm; 4 23/32 in x 6 7/32 in x 6 7/32 in