Geometric Model, L. Brill No. 13. Ser. 4 No. 3, Moveable Hyperboloids of One Sheet (Ruled Surfaces)
date: label: date made
content: 1892
name: label: maker
content: L. Brill
notes: label: Description
content: From the early nineteenth century, mathematicians and engineers have studied surfaces generated by motion. In a complete form of this model, two sets of threads join the small circle (with its tangent line) at the top and the larger circle (with its tangent line) toward the bottom.
label: Description
content: One set of threads forms a cone and its tangent plane. The threads within it form a double cone. If the circle at the top or bottom is rotated, the tangent plane becomes a hyperbolic paraboloid and the double cone and outside cone become two different hyperboloids.
label: Description
content: Compare to model 1985.0112.009 (Brill’s Ser. 4, No. 2), in which the two metal circles are equal and the outer curve is a cylinder.
label: Description
content: This German model of a surface of second order is one of a series of five first introduced by Brill in 1879, rather early in the life of the company. This example was exhibited at the Columbian Exposition, the world's fair held in Chicago in 1893. It came to the Smithsonian from the mathematics department of Wesleyan University in Connecticut. It presently lacks weights and the strings are broken.
label: Description
content: Reference:
label: Description
content: Ludwig Brill, <I>Catalog mathematischer Modelle. . .</I>, Darmstadt: L. Brill, 1892, p. 9-10, 58-59.
label: Location
content: Currently not on view
place: label: place made
content: Germany: Hesse, Darmstadt
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 Wesleyan University
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1985.0112.010
label: catalog number
content: 1985.0112.010
label: accession number
content: 1985.0112
objectType: label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: string (overall material)
label: Physical Description
content: glass (overall material)
label: Physical Description
content: metal (overall material)
label: Measurements
content: overall: 52.5 cm x 33.7 cm x 16 cm; 20 21/32 in x 13 9/32 in x 6 5/16 in