Geometric Model, M. Schilling No. 189. Ser. 3 No. 12, Elliptic 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.
label: Description
content: The plaster model shows an elliptic paraboloid. The surface is represented by the equation: x<sup>2</sup>/a<sup>2</sup> + y<sup>2</sup>/ b<sup>2</sup> = -2z. The apex of the surface is at the origin (so that all the values of z are negative). Sections by the planes x = 0 and y = 0, as well as by planes parallel to them, are parabolas. Sections parallel to and below the plane z = 0 are ellipses that increase in size going downward. A grid of orthogonal curves is indicated on the model.
label: Description
content: A tag on the model reads: Elliptisches Paraboloid. (/) 3. Serie, Nr. 12 (/) Verlag v. Martin Schilling, Leipzig
label: Description
content: Compare 1985.0112.015, 1985.0112.016, and 1985.0112.017. Also compare 1990.0571.10.
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. I, p. 61, vol. II, pp.25-28.
label: Description
content: Martin Schilling, <I>Catalog</I>, 1911, pp. 7-8, 138.
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: 1990.0571.11
label: catalog number
content: 1990.0571.11
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: 20 cm x 19.3 cm x 12 cm; 7 7/8 in x 7 19/32 in x 4 23/32 in