Trapezium or Quadrilateral, Ross Surface Form

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Description
This is one of a series of models of plane figures (surface forms) designed by William Wallace Ross, a school superintendent and mathematics teacher in Fremont, Ohio. This example, what Ross called a “trapezium,” is a quadrilateral with four unequal sides, none of them parallel. A diagonal groove joining two opposite vertices, dividing the quadrilateral into two triangles. Ross recommended finding the area of these triangles from the length of their sides.
A paper sticker attached to the model reads: Trapezium. Another sticker reads: SCALENE TRIANGLE. A second mark on this sticker reads: It is the only operation for which the Ross Blocks have no objective proof or illustration, such objective proof is probably impossible.
This model is not listed in Ross’s 1891 manual. Here he had written: “The trapezium is measured by dividing it up into triangles. This disposes of all the quadrilaterals.” He apparently revised this view.
If none of the angles of an arbitrary convex quadrilateral is known, knowing the length of the sides does not suffice to determine the area of the figure.
Compare models 1985.0112.190 through 1985.0112.202. For further information about Ross models, including references, see 1985.0112.191.
Location
Currently not on view
date made
ca 1895
maker
Ross, W. W.
place made
United States: Ohio, Fremont
Physical Description
wood (overall material)
Measurements
overall: 1 cm x 15.7 cm x 10 cm; 13/32 in x 6 3/16 in x 3 15/16 in
ID Number
1985.0112.199
catalog number
1985.0112.199
accession number
1985.0112
Credit Line
Gift of Wesleyan University
subject
Mathematics
See more items in
Medicine and Science: Mathematics
Science & Mathematics
Arithmetic Teaching
Data Source
National Museum of American History, Kenneth E. Behring Center

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