Geometric Model, M. Schilling No. 187. Ser. 3 No. 18, Elliptic Cone
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 model 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. They were published by the firm of Ludwig Brill in Darmstadt and by Brill’s successor, Martin Schilling – this is Schilling’s version. The model shows an elliptic cone. The surface 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> = 0. Here x and y are axes in the horizontal plane and z is the vertical axis. Assuming that z=0 at the apex of the cone, a plane cutting the surface parallel to the plane z = 0 produces an ellipse. The model is marked with a system of perpendicular lines of curvature. A paper tag on it reads: Elliptischer Kegel. (/) 3. Serie, Nr. 18. (/) Verlag v. Martin Schilling, Leipzig
label: Description
content: For Brill's version of the model, see 1990.0571.16 and 1985.0112.071.
label: Description
content: References:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 7, 76.
label: Description
content: Gerard Fischer, <I>Mathematical Models</I>, Braunschweig / Wiesbaden: Friedr. Vieweg & Sohn, 1986, vol. I, p. 63, vol. II, pp.25-28.
label: Description
content: M. Schilling, <I>Catalog</I>, 1911, p. 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: 1990.0571.17
label: catalog number
content: 1990.0571.17
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: 13.7 cm x 23 cm x 13.8 cm; 5 13/32 in x 9 1/16 in x 5 7/16 in