Painting - Pi Squared and Its Square Root
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- Johnson, Crockett
- This painting is part of Crockett Johnson's exploration of constructions that might take place if one could draw squares equal in area to circles. It is based on a figure that includes two squares and a rectangle. The smaller square (ABDX in Crockett Johnson's figure) is defined as having the same area as the circle circle with center O and diameters the diagonals of the rectangle with sides CE and EX. This circle also appears in his other diagram, although it does not appear in the painting. Other assumptions concerning the upper diagram are that the rectangle has area the square root of the area of the circle and that the triangles with sides CX and PX are isosceles and congruent.
- If the small circle has radius one.and the are of the rectangle is assumed to be the square root of the area of that circle and the small square, the area of the rectangle is the square root of pi.
- The painting is #83 in the series. It is in oil or acrylic on masonite. There is a black wooden frame. The work is unsigned and undated.
- Currently not on view
- Credit Line
- Ruth Krauss in memory of Crockett Johnson
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- catalog number
- accession number
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- Physical Description
- masonite (substrate material)
- wood (frame material)
- overall: 70 cm x 84.4 cm x 3.8 cm; 27 9/16 in x 33 1/4 in x 1 1/2 in
- overall: 29 in x 2 in x 35 in; 73.66 cm x 5.08 cm x 88.9 cm
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- Medicine and Science: Mathematics
- Science & Mathematics
- Crockett Johnson
- National Museum of American History
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