Ruled Surface, Elliptic Double Cone and Hyperboloid of One Sheet, L Brill No.11 or M. Schilling No. 16), Ser 4, No. 1

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This string model with a metal frame shows two ruled surfaces, that is to say surfaces swept out by moving straight lines. On the outside, shown in blue threads, is a doubly ruled hyperboloid of one sheet with an elliptic base and top. On the inside is an elliptic double cone, erected on the same base and top and shown in yellow.
The model was published by the firm of Ludwig Brill in Darmstadt and by its successor, Martin Schilling of Leipzig.
Compare 1985.0112.008 (a Brill model)
Ludwig Brill, Catalog mathematischer Modelle. . ., Darmstadt: L. Brill, 1892, p. 9, 58.
Henry Burchard Fine and Henry Dallas Thompson, Coordinate Geometry, New York: Macmillan Company, 1931, pp. 251-253. An example of this model is shown in Figure 6.
Martin Schilling, Catalog, 1911, p. 9, 112.
Currently not on view
place made
Physical Description
metal (overall material)
thread (overall material)
overall: 25.7 cm x 21.7 cm x 14.5 cm; 10 1/8 in x 8 17/32 in x 5 23/32 in
ID Number
catalog number
accession number
Credit Line
Gift of Brown University Department of Mathematics
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Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History