Rectangular Protractor
date: label: date made
content: 19th century
notes: label: Description
content: In the 18th and 19th centuries, draftsmen needed to prepare surveying and architectural drawings according to a variety of scales. Their work might call for them to reduce life-size conditions in a range from 1 inch to the foot to 1/8 inch to the foot. Draftsmen also needed a convenient way to keep all of the scales at hand without cluttering up their toolboxes with many drawing instruments. Instrument makers offered rectangular protractors as one tool to solve these problems.
label: Description
content: A rectangular protractor has the angle markings around three edges of a rectangle instead of along the arc of a circle or half-circle. The object looks like a ruler and fits neatly inside a pocket or a case of instruments. There is space in the interior of the rectangle—and on both sides—for other scales. Early rectangular protractors were often made of metals such as brass, but in the 19th century, makers manufactured large quantities of rectangular protractors from ivory.
label: Description
content: This ivory rectangular protractor typifies the general form of these instruments. It is graduated by single degrees and marked by tens from 10° to 170° in both directions, from left to right and from right to left. The front of the protractor also contains scales for 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8, and 1 inch to the foot, as well as a scale of chords. Draftsmen used a scale of chords together with compasses to draw arcs on which they could construct angles, particularly when a protractor was not available. This scale is divided by single degrees and marked from 10° to 90° by tens.
label: Description
content: The back of the protractor bears scales dividing the inch into 60, 50, 45, 40, 35, and 30 parts. These scales were also useful for creating and reading scale drawings. For instance, 1 inch on the 40 scale corresponded to 4 inches in real life, while 1 inch on the 60 scale corresponded to 6 inches in real life. Additionally, this protractor contains a diagonal scale, for reading off fractions of an inch, and a scale of cosines. John William Christopher Draper and James Christopher Draper of Pittsburgh donated this protractor to the Smithsonian in 1973.
label: Description
content: Reference: Amy Ackerberg-Hastings, "Rectangular Protractors and the Mathematics Classroom," in <I>Hands on History: A Resource for Teaching Mathematics</I>, edited by Amy Shell-Gellasch, MAA Notes no. 72 (Washington, DC: The Mathematical Association of America, 2007), 35–40.
label: Location
content: Currently not on view
topic: label: Subject
content: Mathematics
label: Subject
content: Protractor
label: Subject
content: Drafting, Engineering
setName: label: See more items in
content: Medicine and Science: Mathematics
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content: Science & Mathematics
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content: Protractors
creditLine: label: Credit Line
content: Gift of John William Christopher Draper and James Christopher Draper
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: MA.335349
label: accession number
content: 304826
label: catalog number
content: 335349
objectType: label: Object Name
content: protractor
physicalDescription: label: Physical Description
content: ivory (overall material)
label: Measurements
content: overall: .2 cm x 15.2 cm x 4.4 cm; 3/32 in x 5 31/32 in x 1 23/32 in