Painting - <I>Rectangles of Equal Area (Pythagoras)</I>
date: label: date made
content: 1969
name: label: referenced
content: Pythagoras
label: painter
content: Johnson, Crockett
notes: label: Description
content: Crockett Johnson used a wide range of geometrical constructions as the basis for his paintings. This painting is based on a method of constructing a rectangle equal in area to a given rectangle, given one side of the rectangle to be constructed.
label: Description
content: In the painting, suppose that the cream-colored rectangle on the bottom left is given, as well as a line segment extending from the upper right corner of it. Construct the small triangle on the upper left. Draw the three horizontal lines shown, as well as the diagonal of the rectangle constructed. Extend this diagonal until it meets the bottom line, creating another triangle. The length of the base of this triangle will be the side of the rectangle desired. This rectangle is on the upper right in the painting.
label: Description
content: This construction has been associated with the ancient Pythagoreans. Crockett Johnson may well have learned it from Evans G. Valens, <I>The Number of Things</I>. The drawing on page 121 of this book is annotated, although the annotations are faint.
label: Description
content: The oil painting is #48 in the series. It has a black background and a black wooden frame, with the two equal triangles in light shades. The painting is signed on the front: CJ69. It is signed on the back: RECTANGLES OF EQUAL AREA (/) (PYTHAGORAS) (/) Crockett Johnson 1969.
label: Location
content: Currently not on view
setName: label: See more items in
content: Medicine and Science: Mathematics
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content: Science & Mathematics
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content: Crockett Johnson
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content: Art
creditLine: label: Credit Line
content: Ruth Krauss in memory of Crockett Johnson
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1979.1093.34
label: catalog number
content: 1979.1093.34
label: accession number
content: 1979.1093
objectType: label: Object Name
content: painting
physicalDescription: label: Physical Description
content: masonite (substrate material)
label: Physical Description
content: wood (frame material)
label: Measurements
content: overall: 124 cm x 88.3 cm x 2.5 cm; 48 13/16 in x 34 3/4 in x in