Paper Model of an Elliptic Paraboloid, M. Schilling No. 28, Carton Ser. No. 5

Paper Model of an Elliptic Paraboloid, M. Schilling No. 28, Carton Ser. No. 5

<< >>
Usage conditions apply
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 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.
The tan paper model of an elliptic paraboloid consists of 26 intersecting circles and portions of circles. The two smallest circles are missing. The lines of intersection are numbered. The model is stored in light green paper envelope. The envelope is in a black paper box with the other models in the Carton series. A mark on the envelope reads: Karton-Modelle (/) von Flachen zweiter Ordnung. (/) Nr. 5. (/) Elliptisches Paraboloid. (/) Verlag von Martin Schilling in Halle a. S. Another mark there reads: Leipzig.
The model shows part of a surface that can be represented by the equation x2/a2 + y2/ b2 = - 2z (when the model is mounted on the stand as shown, the z-axis goes cross-wise). The stand is part of MA.304722.24.
Compare 1985.0112.018.
Ludwig Brill, Catalog mathematischer Modelle..., Darmstadt: L. Brill, 1892, p. 1, 59.
Henry Burchard Fine and Henry Dallas Thompson, Coordinate Geometry, New York: Macmillan Company, 1931, p. 242.
M. Schilling, Catalog, 1911, p. 1-2, 114.
Currently not on view
Object Name
Geometric Model
geometric model
date made
ca 1900
Schilling, Martin
place made
Germany: Saxony, Leipzig
Physical Description
paper (overall material)
overall: 10 cm x 10 cm x 9.5 cm; 3 15/16 in x 3 15/16 in x 3 3/4 in
ID Number
catalog number
accession number
Credit Line
Gift of Brown University Department of Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Data Source
National Museum of American History
Nominate this object for photography.   

Our collection database is a work in progress. We may update this record based on further research and review. Learn more about our approach to sharing our collection online.

If you would like to know how you can use content on this page, see the Smithsonian's Terms of Use. If you need to request an image for publication or other use, please visit Rights and Reproductions.


Add a comment about this object