Geometric Model, Ruled Surface Adjustable from Cylinder to Hyperboloid of One Sheet to Double Cone

Geometric Model, Ruled Surface Adjustable from Cylinder to Hyperboloid of One Sheet to Double Cone

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Description
This adjustable string model has a metal base painted black that supports two brass discs on a central spindle. A circle of holes is near the rim of both discs. The gold threads that join these holes form a cylinder. A screw below the lower disc holds a metal sleeve that in turn holds up the disc. Releasing this screw and twisting the lower disc generates a hyperboloid of one sheet. Raising the sleeve and securing the screw holds the model in this position.
The model is unsigned.
Compare 1982.0795.30. Also compare Brill model 1985.0112.009, in which weights are used in place of a mechanism. The Brill model shows other surfaces as well.
Location
Currently not on view
Object Name
Geometric Model
Physical Description
string (overall material)
brass (overall material)
Measurements
overall: 43.5 cm x 23.5 cm x 23.5 cm; 17 1/8 in x 9 1/4 in x 9 1/4 in
ID Number
1982.0795.29
catalog number
1982.0795.29
accession number
1982.0795
Credit Line
Gift of the Department of Mathematics, The University of Michigan
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
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