Paper Model of a Hyperboloid of One Sheet, M. Schilling No. 13, Carton Ser. No. 3
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 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: This pink paper model of a hyperboloid of one sheet has the dimensions given when unfolded. It measures flat in its light green paper envelope: 17 cm. w. x 11.5 cm. d. It is composed of thirty-four circles and segments of circles. The lines of intersection are numbered, but there are no maker's marks on the model. The envelope is stored in a black paper box with the other Carton models. The envelope is in a brown box with the other models in the Carton series. A tag on the envelope reads: Karton-Modelle (/) von Flachen zweiter Ordnung. (/) Nr. 3. (/) Einschaliges Hyperboloid. (/) Verlag von Martin Schilling in Halle a. S. another mark there reads: Leipzig.
label: Description
content: The model shows a hyperboloid of one sheet, 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> - z<sup>2</sup>/c<sup>2</sup> = 1. Here z is a horizontal axis, with the x and y-axes perpendicular to it. The model is displayed on a stand that is part of MA.304722.24.
label: Description
content: Compare 1985.0112.007
label: Description
content: References:
label: Description
content: L. Brill, <I>Catalog</I>, 1892, p. 1, 59.
label: Description
content: M. Schilling, <i>Catalog</I>, 1911, p. 1-2, 112.
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.304722.16
label: catalog number
content: 304722.16
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: 8 cm x 10 cm x 8 cm; 3 5/32 in x 3 15/16 in x 3 5/32 in