Paper Model of a Hyperboloid of Two Sheets, M. Schilling No. 24, Carton Ser. No. 4
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 Matrin 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: This blue paper model of a hyperboloid of two sheets consists of two parts, each of which have the dimensions given when unfolded. The parts consist of 22 circles and portions of circles. Each represents half of a hyperboloid. The two smallest circles are missing from both models. The lines of intersection are numbered, as are the circles. The two parts are stored in light green paper envelopes which each measure: 17.1 cm. w. x 11.5 cm. d. x .3 cm. h. The envelopes are stored in a black paper box with the other Carton models. A mark on the model reads: Karton-Modelle (/) von Flachen zweiter Ordnung. (/) Nr. 4. (/) Zweichaliges Hyperboloid. (/) Verlag von Martin Schilling in Halle a. S.; Leipzig.
label: Description
content: The models together show part of a hyperboloid of two sheets, 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.
label: Description
content: The stand for the model is part of MA.304722.24.
label: Description
content: For a related model, made by Schilling’s predecessor Brill, see 1985.0112.014.
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, pp. 240-241.
label: Description
content: Martin Schilling, <I>Catalog mathematixsher Modelle, , ,</I>, Leipzig, 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.304722.17
label: catalog number
content: 304722.17
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 13.5 cm x 9.5 cm; 3 15/16 in x 5 5/16 in x 3 3/4 in