Geometric Model by A. Harry Wheeler, Supplementary Trihedral Angles

Geometric Model by A. Harry Wheeler, Supplementary Trihedral Angles

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Description
Three planes that meet at the center of a sphere form what is called a trihedral (three-sided) angle. Each plane intersects the sphere in a great circle. Segments of these three circles form a spherical triangle on the sphere. In this cut and folded tan paper model, Wheeler labels the vertices of this triangle ABC. Consider a point (not named by Wheeler – call it X) inside the bounds of the trihedral angle and drop perpendiculars to the three sides of the trihedral angle through it. Wheeler calls the points of intersection D, E, and F. The trihedral angle centered at X is the supplement of the original trihedral angle.
Reference:
D. A. Low, Practical Geometry and Graphics, New York: Longmans, Green and Co., 1912, pp. 233-235.
Location
Currently not on view
Object Name
Geometric Model
date made
1927 05 29
maker
Wheeler, Albert Harry
place made
United States: Massachusetts, Worcester
Physical Description
paper (overall material)
tan (overall color)
cut and folded (overall production method/technique)
Measurements
average spatial: 7 cm x 7.3 cm x 6 cm; 2 3/4 in x 2 7/8 in x 2 3/8 in
ID Number
MA.304723.195
accession number
304723
catalog number
304723.195
Credit Line
Gift of Helen M. Wheeler
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Trigonometry
Spherical Trigonometry
Data Source
National Museum of American History
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