Paper Model of an Elliptic Paraboloid, M. Schilling No. 28, Carton Ser. No. 5
date: label: date made
content: ca 1900
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. The firm of Martin schilling in Leipzig published this one as part of a series of paper models (the “Carton” series) designed by Alexander Brill and first issued in 1874.
label: Description
content: The tan paper model of an elliptic paraboloid consists of 26 intersecting circles and portions of circles. The two smallest circles are missing. The lines of intersection are numbered. The model is stored in light green paper envelope. The envelope is in a black paper box with the other models in the Carton series. A mark on the envelope reads: Karton-Modelle (/) von Flachen zweiter Ordnung. (/) Nr. 5. (/) Elliptisches Paraboloid. (/) Verlag von Martin Schilling in Halle a. S. Another mark there reads: Leipzig.
label: Description
content: The model shows part of a surface that can be represented by the equation x<sup>2</sup>/a<sup>2</sup> + y<sup>2</sup>/ b<sup>2</sup> = - 2z (when the model is mounted on the stand as shown, the z-axis goes cross-wise). The stand is part of MA.304722.24.
label: Description
content: Compare 1985.0112.018.
label: Description
content: References:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 1, 59.
label: Description
content: Henry Burchard Fine and Henry Dallas Thompson, <I>Coordinate Geometry</I>, New York: Macmillan Company, 1931, p. 242.
label: Description
content: M. Schilling, <I>Catalog</I>, 1911, p. 1-2, 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
creditLine: label: Credit Line
content: Gift of Brown University Department of Mathematics
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.304722.18
label: catalog number
content: 304722.18
label: accession number
content: 304722
objectType: label: Object Name
content: Geometric Model
label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: paper (overall material)
label: Measurements
content: overall: 10 cm x 10 cm x 9.5 cm; 3 15/16 in x 3 15/16 in x 3 3/4 in