Model of a Twisted Cubic by Richard P. Baker, Baker #75 (a Ruled Surface)
date: label: date made
content: ca 1900-1935
name: label: maker
content: Baker, Richard P.
notes: label: Description
content: This string model was constructed by Richard P. Baker, possibly before 1905 when he joined the mathematics faculty at the University of Iowa. Baker believed that models were essential for the teaching of many parts of mathematics and physics, and over one hundred of his models are in the museum collections. Baker mentioned the model in a 1905 listing of one hundred models he had constructed as well as in a 1931 catalog.
label: Description
content: A typed paper label on the top of the wooden base of this model reads: No. 75 (/) CUBICAL HYPERBOLIC PARABOLA.
label: Description
content: Like several other models Baker made, this shows ruled surfaces, also called scrolls. Such a surface is swept out by a moving line. This model shows portions of a parabolic cylinder (going crosswise) and a hyperbolic cylinder (with two opposite sections, extending vertically). One asymptotic plane of the hyperbolic cylinder is parallel to what Sommerville calls the axial plane of the parabolic cylinder. The cylinders intersect in two curves which are represented by wires in the model. These wires are part of a cubical hyperbolic parabola.
label: Description
content: The model sold for $5.00.
label: Description
content: References:
label: Description
content: R. P. Baker, <I>A List of Mathematical Models</I>, [1905], p. 13.
label: Description
content: R. P. Baker, <I>Mathematical Models</I>, Iowa City, Iowa, 1931, p. 72. R. P. Baker Papers, University of Iowa, Iowa City, Iowa.
label: Description
content: George Salmon, <I>A Treatise on the Analytic Geometry of Three Dimensions</I>, Dublin: Hodges, Foster, and Company, 1874, esp. pp. 303-313.
label: Description
content: D. M. Y. Sommerville, <I>Analytical Geometry of Three Dimensions</I>, Cambridge: Cambridge University Press, 1959, esp. pp. 294-297.
label: Location
content: Currently not on view
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 Frances E. Baker
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.211257.004
label: accession number
content: 211257
label: catalog number
content: 211257.004
objectType: label: Object Name
content: geometric model
physicalDescription: label: Physical Description
content: thread (overall material)
label: Physical Description
content: wood (overall material)
label: Physical Description
content: metal (overall material)
label: Physical Description
content: yellow (overall color)
label: Physical Description
content: black (overall color)
label: Physical Description
content: red (overall color)
label: Physical Description
content: copper (overall color)
label: Physical Description
content: screwed and threaded. (overall production method/technique)
label: Measurements
content: average spatial: 27.8 cm x 25.7 cm x 26 cm; 10 15/16 in x 10 1/8 in x 10 1/4 in