Arm Protractor and Goniometer Invented by Samuel L. Penfield
date: label: date made
content: 1909-1950
label: patent date
content: 1900
name: label: maker
content: Central Scientific Company
label: inventor
content: Penfield, Samuel Lewis
notes: label: Description
content: It may seem obvious that surveyors, navigators, and mathematics students would need to measure angles. These practitioners are not the only audiences for protractors, however, since angle measurement is necessary in a variety of other fields. Geologists examine the faces and edges of crystals and recreate the crystals' structures by drawing stereographic projections. In 1900, Samuel Lewis Penfield (1856–1906), a geology professor at Yale University who earned his Ph.B. from Yale in 1877, patented two forms of "contact-goniometer." (A goniometer measures plane angles.) These instruments, along with a stereographic protractor and beam compasses that Penfield patented in 1901, helped establish the technique of stereographic projections in crystallography. Penfield aimed to simplify the work involved in the technique and to produce an inexpensive instrument.
label: Description
content: This semicircular paper protractor appears to be an example of the contact-goniometer awarded patent number 655,004 on July 31, 1900. It is printed on a white rectangular card. It is divided by half-angles and marked by tens in both directions (counterclockwise and clockwise) from 0° to 180°. A ruler, divided to millimeters and marked by ones from 0 cm to 14 cm, is printed along the top edge of the card. A diagonal scale and scales for dividing the inch into 10, 12, and 16 parts appear in the interior of the protractor. A celluloid arm is attached at the vertex of the protractor. Users were to set angles according to a horizontal line on the arm but then draw angles along the edge of the arm.
label: Description
content: The lower left corner of the card reads: ARM PROTRACTOR AND GONIOMETER (/) Designed by S. L. Penfield. A mark at the lower right corner of the scales of equal parts affirms that the protractor is: ENGINE DIVIDED. The protractor is contained in a paper envelope, which also holds a sheet of instructions written by Penfield. The envelope is imprinted: ARM PROTRACTOR AND GONIOMETER. It is also stamped: Cenco 88210.
label: Description
content: The Mineralogical Laboratory of Yale's Sheffield Scientific School offered early versions of this instrument. Central Scientific Company of Chicago (abbreviated Cenco) sold the Penfield arm protractor and goniometer in this form from as early as 1909 (as item 427) to as late as 1950 (as item 88210). In 1914, the instrument cost 67 cents. William C. Marshall (of Bridgeport Works and formerly at the Sheffield Scientific School at Yale) listed it as a required tool in <i>Elementary Machine Drawing and Design</i> (New York: McGraw-Hill, 1912), 8. Edward Salisbury Dana discussed Penfield's instrument in more detail in <I>A Textbook of Mineralogy, With an Extended Treatise on Crystallography and Physical Mineralogy</I>, 3rd ed. rev. William E. Ford (New York: John Wiley & Sons, 1922), 33–40.
label: Description
content: References: Samuel Lewis Penfield, "Contact-Goniometer" (U.S. Patent 655,004 filed April 2, 1900), "Contact-Goniometer" (U.S. Patent 655,005 filed April 2, 1900), "Stereographic Protractor" (U.S. Patent 667,570 filed October 25, 1900), and "Beam-Compass" (U.S. Patent 673,687 filed December 31, 1900); S. L. Penfield, "The Stereographical Projection and its Possibilities, from a Graphical Standpoint," <I>American Journal of Science</I> 4th ser. 11 (1901): 1–24, 115–144; Central Scientific Company, <I>Physical and Chemical Apparatus Catalogue M</I> (May, 1914), 42; L. V. Pirsson, "Samuel Lewis Penfield," <I>American Journal of Science</I>, 4th ser. 22 (1906): 353–367; Horace L. Wells, "Samuel Lewis Penfield, 1856–1906," in <I>Biographical Memoirs</I> (Washington, D.C.: National Academy of Sciences, 1909), vi:119–146; Shellie Snell, "Central Scientific Company: A Brief History," Robert A. Paselk Scientific Instrument Museum, Humboldt State University, http://www.humboldt.edu/scimus/Manufac/Cenco/Cenco.htm.
label: Location
content: Currently not on view
place: label: place made
content: United States: Illinois, Chicago
topic: label: Subject
content: Mathematics
label: Subject
content: Protractor
label: Subject
content: Mineralogy
label: Subject
content: Crystallography
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 Kenyon College Department of Physics
dataSource: label: Data Source
content: National Museum of American History
identifier: label: ID Number
content: 1982.0147.02
label: accession number
content: 1982.0147
label: catalog number
content: 1982.0147.02
objectType: label: Object Name
content: protractor
physicalDescription: label: Physical Description
content: metal (overall material)
label: Physical Description
content: plastic (overall material)
label: Physical Description
content: paper (overall material)
label: Measurements
content: overall: .3 cm x 16.2 cm x 8.5 cm; 1/8 in x 6 3/8 in x 3 11/32 in