Cardboard models of Second Order Surfaces, 1901.

Made:
1901 in Tubingen
Cardboard models of Second Order Surfaces, 1901. Cardboard models of Second Order Surfaces, 1901.

Creative Commons LicenseThis image is released under a CC BY-NC-SA 4.0 Licence

Buy this image as a print 

Buy

License this image for commercial use at Science and Society Picture Library

License

Creative Commons LicenseThis image is released under a CC BY-NC-SA 4.0 Licence

Buy this image as a print 

Buy

License this image for commercial use at Science and Society Picture Library

License

Science Museum Group Collection
© The Board of Trustees of the Science Museum

Science Museum Group Collection
© The Board of Trustees of the Science Museum

Set of 7 assembled cardboard geometrical models with wooden stands [marked 1876-482], showing surfaces of the second order: (1) Ellipsoids having 22 sections, (2) Ellipsoids having 30 sections, (3) Hyperboloids of 2 sheets, (4) Hyperboloids of 1 sheet, (5) Paraboloids, (6) Hyperbolic Paraboloids, (7) Cones

Set of 7 assembled cardboard geometrical models on wooden stands showing the following surfaces of the second order: 1) ellipsoid with 22 sections 2) ellipsoid with 30 sections, 3) hyperboloid of 2 sheets, 4) hyperboloid of 1 sheet, 5) paraboloid, 6) hyperbolic paraboloid, 7) cone of two sheets. These cardboard models were made by Martin Schilling at the Munich Workshop set up by Felix Klein (1849-1925) and Alexander von Brill in the 1870s to produce a wide variety of surface models. 'Second Order' means there are squared terms in their equations. This type of model could be distorted into an infinite number of shapes by gentle manipulation. During the late 19th and early 20th century, there was an interest in geometric model making, particularly in Germany.

Details

Category:
Mathematics
Object Number:
1901-88
Materials:
cardboard
type:
surface model (card)
credit:
University of Tubingen

Parts

Assembled cardboard geometrical model on 2 wooden display stands

Assembled cardboard geometrical model on 2 wooden display stands

Assembled cardboard geometrical model on 2 wooden display stands [marked 1876-482, not on inventory] showing surfaces of the 2nd order (marked E22g & E22h-1901,two parts), Cones in 2 sheets [Kegel].

Materials:
metal (unknown) , ebony and card
Object Number:
1901-88 Pt1
type:
surface model (card)
Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand [marked 1876-482, not on inventory], showing surfaces of the second order (marked E22c-1901), Hyperboloid of 1 sheet [Einschaliges Hyperbolid].

Materials:
card and ebony
Object Number:
1901-88 Pt2
type:
surface model (card)
Assembled cardboard geometrical model on 2 wooden display stands

Assembled cardboard geometrical model on 2 wooden display stands

Assembled cardboard geometrical model on 2 wooden display stands [marked 1876-482, not on inventory] showing surfaces of the 2nd order (marked E22d & E22e -1901, two parts), Hyperoloid of 2 sheets [Zweischaliges Hyperboloid].

Materials:
ebony and card
Object Number:
1901-88 Pt3
type:
surface model (card)
Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand [marked 1876-482] showing surfaces of the 2nd order, Elliptic Paraboloid (marked E22f-1901).

Materials:
ebony and card
Object Number:
1901-88 Pt4
type:
surface model (card)
Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand [marked 1876-482, not on inventory] showing surfaces of the 2nd order,Ellipsoids of 22 circular sections [Ellipsoid I ] (marked E22b-1901).

Materials:
ebony and card
Object Number:
1901-88 Pt5
type:
surface model (card)
Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand [marked 1876-482, not on inventory] showing surfaces of the 2nd order, Ellipsoids of 30 circular sections [ellipsoid II ] (marked E22a-1901).

Materials:
card and ebony
Object Number:
1901-88 Pt6
type:
surface model (card)
Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand

Assembled cardboard geometrical model on wooden display stand [marked 1876-482, not on inventory] showing surfaces of the 2nd order (marked E23g-1901), Hyperbolic Paraboloid [Hyperbolisches Paraboloid].

Materials:
card and ebony
Object Number:
1901-88 Pt7
type:
surface model (card)