Engineering, Building, and Architecture

• 

  Japanese L-Square

  Description

  In 1876 the Japanese Empire Department of Education exhibited many instruments at the Centennial International Exhibition, a World’s Fair held in Philadelphia. After the exhibition, John Eaton, the U.S. Commissioner of Education, arranged for the transfer of Japan's entire exhibit—including this object—to the Bureau of Education (then part of the Department of the Interior) for a planned museum. The museum closed in 1906, and much of the collection was transferred to the Smithsonian in 1910.

  On one side, this 18-1/2" L-shaped brass instrument is divided along the outside of its short leg into 7.5 units of 1-3/16" (3 cm). Each unit is thus roughly equivalent to the sun, a traditional Japanese unit of length that is 1/10 of a shaku, a "foot" measure. The units are subdivided into 10 parts. The fifth unit is marked with an arrangement of five dots.

  The outer edge of the long leg is divided into ten units of 1-3/4" (4.3 cm). Each unit is subdivided into tenths. From the right, the fifth and tenth units are marked with an arrangement of five dots. The other units are marked with single dots. A single dot also marks the 0.9 points. Groups of three dots mark the 3.55 and 7.05 points, and another group of three dots marks a point to the left of the divisions on the scale.

  The inner edge of the long leg is divided from left to right into five units of 1-13/16" (4.5 cm) and five sun. The larger units are marked with Japanese characters. The sun are subdivided into tenths and marked with single dots, except for the fifth unit, which is marked with five dots.

  On the other side, the outer edges of both legs are divided into sun subdivided into tenths. The midpoint of each unit is marked with three dots. The fifth, tenth, and fifteenth units from the vertex are marked with five dots. The instrument was designed for measuring lengths, drawing right angles, and determining whether two lines are perpendicular to one another.

  Other educational mathematical objects exhibited by Japan in 1876 include MA.261283, MA.261284, MA.261285, MA.261286, MA.261287, MA.261289, MA.261291, MA.261292, MA.261293, MA.261294, MA.261298, MA.261299, MA.261301, MA.261302, MA.261305, MA.261306, and MA.261313.

  References: Japan. Department of Education, An Outline History of Japanese Education: Prepared for the Philadelphia International Exhibition, 1876 (New York: D. Appleton, 1876), 121–122, 191–202; U.S. Centennial Commission, International Exhibition, 1876. Reports and Awards, ed. Francis A. Walker (Washington, D.C.: Government Printing Office, 1880), viii:143, 335; U.S. Bureau of Education, Annual Report of the Commissioner (1876), ccxi–ccxii.

  Location

  Currently not on view

  date made

  before 1876

  ID Number

  MA.261295

  accession number

  51116

  catalog number

  261295

  Data Source

  National Museum of American History

• 

  Instruction Card for Robertson-Amsler Polar Planimeter

  Description

  These salmon-colored card fragments were received with MA.333766. They give partial instructions for taking measurements with an "averaging planimeter." The reverse side of the card has a drawing of a connector for a steam engine indicator and several user testimonials.

  Location

  Currently not on view

  date made

  ca 1900

  maker

  James L. Robertson & Sons

  ID Number

  MA.302380.02

  accession number

  302380

  catalog number

  302380.01

  Data Source

  National Museum of American History

• 

  Peaucellier Inversor, Kinematic Model by Martin Schilling, series 24, model 10, number 349

  Description

  Around 1900, American mathematicians introduced ideas to their students using physical models like this one. This model is the tenth in a series of kinematic models sold by the German firm of Schilling to show a mechanical method for generating mathematical curves.

  Linkages are joined rods that move freely about pivot points. A pair of fireplace pincers is an example of a very simple linkage. Producing straight line motion was an important component of many machines. But producing true linear motion is very difficult. One area of research during the 19th century was to use linkages to produce linear motion from circular motion. In this context “inverse” is a geometric term that refers to the process of using algebra and trigonometry to convert or invert one geometric shape into another. In this case, the inverse of the circle will be a straight line. So an “inversor" is a device that finds the inverse of a geometrical object: the conversion of a circle to a straight line in the case of this model.

  In 1864 French engineer Charles Nicolas Peaucellier (1832-1913) created a seven-bar linkage which succeeded in producing pure linear motion. Since then, such seven-bar linkages are often referred to as “Peaucellier cells” or a “Peaucellier’s inversor.” His discovery was the first solution of what was referred to as the problem of parallel motion: converting rotational to linear motion using only “rods, joints and pins.”

  This linkage is constructed of seven metal armatures (two longer arms of 15 cm, four shorter arms of 5 cm) hinged so as to create a kite shape with a rhombus (diamond) shape at the top of the kite. This horizontal assembly is then attached to a central vertical axis that is rotated by turning a crank below the baseplate. Fingerholds are attached to the two primary hinge points to allow the linkage to be articulated from above. Below these fingerholds are metal points used to trace the motion of the linkage on the paper.

  The bottom (tail end) of the kite is fixed on a circle. As the dial is turned or the fingerholds are moved, the point internal to the linkage traces the circle, resulting in the point at the top of the kite tracing a straight line. The seven-bar linkage works by keeping one end of the linkage (the tail end of the kite) fixed on a circle. As the center point traces around the circle, the point at the opposite end of the linkage (the top of the kite) traces a straight line. The German title for this model is: Inversor von Peaucellier 1864.

  This model is marked Halle a.S., but this is lined through and has a Leipzig stamp. In or after 1903 Schilling moved the business from Halle to Leipzig. On top of the mounting plate is an aged paper sheet showing the name and maker of the linkage. Printed on the paper are a black circle and a red circle to show the circular path; a red curve; and, what was most likely a black linear path, but which is now worn through the paper with use.

  References:

  Johnson, Wm. Woolsey, “The Peauceller Machine and Other Linkages,” The Analyst, Vol 2, No. 2, Mar 1875, pp. 41-45.

  Roberts, David Lindsay, “Linkages, A Peculiar Fascination” in Tools of American Mathematics Teaching, 1800-2000, Kidwell, P. A. et.al., Johns Hopkins University Press, 2008, pp. 233-242.

  Schilling, Martin, Catalog Mathematischer Modelle für den höheren mathatischen Unterricht, Halle a.S., Germany, 1911, pp. 56-57. Series 24, group IV, model 10.

  Mathematics and interactive Java applet can be found at http://www.cut-the-knot.org/pythagoras/invert.html\

  Location

  Currently not on view

  date made

  ca 1900

  maker

  Schilling, Martin

  ID Number

  MA.304722.21

  catalog number

  304722.21

  accession number

  304722

  Data Source

  National Museum of American History

• 

  Protractor Retailed by Benjamin Pike & Son

  Description

  This brass circular protractor was manufactured in the mid-19th century and made available for sale by the New York City firm headed by Benjamin Pike (1777–1863). Pike, a dealer of optical, mathematical, and philosophical instruments whose firm serviced the entire United States, partnered at various times with his sons, Benjamin Jr., Daniel, and Gardner. The business was called “Benjamin Pike & Son,” as is marked on the vernier limb of this protractor, between 1831 and 1841 and between 1843 and 1850.

  This protractor likely would have been of interest to surveyors and engineers. The object is divided by single degrees. It bears two sets of markings by tens in the clockwise direction: from 0° to 90° to 0° to 90° to 0°, and from 10° to 360°. Brass arms extend into the center to divide the protractor into quadrants. The arms are not placed at the 0° and 90° points, as one might expect, but rather at the 50/50, 40/140, 50/230, and 40/320 markings. There are rounded, beveled notches at the 90/90 and 90/270 markings. A round hole (5/8" diameter) is at the center. Crosshairs would typically have been placed in this hole to mark the origin point for measuring angles, but no crosshairs are present. Instead, a brass piece fills about one-third of the hole.

  An arm pivoted from the center carries a vernier, which allows the user to read off angles to 10 minutes of arc. The vernier is marked by 30s from 60 to 0 to 60. The vernier arm is marked: Benj-n Pike & Son New York. The arm extends beyond the vernier. A brass strip, fastened on top of the arm, contains a sharp metal pin that pokes through a hole near the end of the arm. The pin was used to prick, or mark, angle points.

  This protractor has some notable differences from the circular protractor depicted in Pike catalogs of 1848 and 1856: its outer edge is smooth instead of appearing to bear gear teeth; it has one vernier arm instead of two; and it has two sets of markings instead of one.

  References: Deborah J. Warner, “Browse by Maker: Pike,” National Museum of American History Physical Sciences Collection: Surveying and Geodesy, http://americanhistory.si.edu/collections/surveying/maker.cfm?makerid=22; Benjamin Pike Jr., Pike’s Illustrated Descriptive Catalogue of Optical, Mathematical, and Philosophical Instruments (New York, 1848), 43–45; Benjamin Pike Jr., Pike’s Illustrated Descriptive Catalogue of Optical, Mathematical, and Philosophical Instruments (New York, 1856), 43–45; facsimile with historical introduction by Deborah J. Warner (Dracut, Mass., and San Francisco, 1984).

  Location

  Currently not on view

  date made

  1831-1850

  maker

  Pike, Jr., Benjamin

  ID Number

  MA.304826.059

  accession number

  304826

  catalog number

  304826.059

  Data Source

  National Museum of American History

• 

  Keuffel & Esser 1740 Thacher Cylindrical Slide Rule

  Description

  In 1881, Edwin Thacher, a "computing engineer" for the Keystone Bridge Company in Pittsburgh, Pennsylvania, received a patent for an improvement in slide rules. Thacher was a graduate of Rennselaer Polytechnic Institute who spent much of his career designing railway bridges. To assist in his calculations, he designed a cylindrical slide rule. Thacher's rule, though it fit on a desk, was equivalent to a conventional slide rule over 59 feet long. It had scales for multiplication and division and another scale, with divisions twice as large, for use in finding squares and square roots. But it had no trigonometric scales.

  To produce his "calculating instrument," Thacher turned to the London firm of W. F. Stanley. The company even designed a special dividing engine for preparing the scales for the instrument. These were printed on paper sheets, which were pasted to the drum and the slats. In this example, the paper is also printed in italics on the right side: Patented by Edwin Thatcher [sic], C.E. Nov. 1st 1881. Divided by W. F. Stanley, London, 1882.

  The drum is rotated with wooden handles. The cylinder of slats is held in place with a brass frame, which is affixed to a wooden base. A paper of DIRECTIONS AND RULES FOR OPERATING is lacquered to the front of the base. The rear of the base bears a small silver metal label engraved: Keuffel & Esser (/) New York. F. F. NICKEL is painted underneath the base.

  Keuffel & Esser Company of New York sold versions of the Thacher cylindrical slide rule from at least 1883 until about 1950. There were two models, one with a magnifying glass (K&E model 1741, later K&E model 4013), and one without (K&E model 1740, later K&E 4012). This is a model 1740. The front right corner of the instrument's metal frame is engraved with the number 107. A paper K&E label on the inside lid of the instrument's mahogany case is marked in ink: 1740/661 (/) Thachers (/) Calculating (/)Instr. The top front of the bottom of the case is also carved with 661. In 1887, the model 1740 sold for $30.00.

  Frank Ferdinand Nickel purchased this example around 1883 and donated it to the Smithsonian in 1945, through his son, Henry W. Nickel. The elder Nickel was born in Hanau, Germany, in 1857. He came to the United States around 1883 and worked as a mechanical engineer in New York, Ohio, Pennsylvania, and New Jersey. He also taught at Columbia University in the 1910s. He wrote Direct-Acting Steam Pumps (New York: McGraw-Hill, 1915).

  See also 1987.0107.08 and 1987.0808.01.

  References: Edwin Thacher, "Slide-Rule" (U.S. Patent 249,117 issued November 1, 1881); "Thacher's Calculating Instrument or Cylindrical Slide Rule," Engineering News 16 (18 December 1886): 410; Wayne E. Feely, "Thacher Cylindrical Slide Rules," The Chronicle of the Early American Industries Association 50 (1997): 125–127; Wilfred Scott Downs, ed., "Nickel, Frank F.," Who's Who in Engineering, vol. 3 (New York, 1931), 957; Catalogue of Keuffel & Esser (New York, 1887), 128. This was the first K&E catalog to list the model 1740.

  Location

  Currently not on view

  date made

  ca 1883

  maker

  Stanley, William Ford

  Keuffel & Esser Co.

  ID Number

  MA.312866

  accession number

  169701

  catalog number

  312866

  Data Source

  National Museum of American History

• 

  Keuffel & Esser 4015 Fuller's Spiral Cylindrical Slide Rule

  Description

  This rule consists of an outer wooden cylinder that both slides up and down and rotates. Two brass rings lined with felt are inside this cylinder. The cylinder is covered with paper marked with a single spiral logarithmic scale graduated into 7,250 parts and having a length, according to the maker, of 500 inches (nearly 42 feet). This length permitted computations up to four or five significant digits.

  Inside the outer cylinder is a longer wooden cylinder, covered with paper marked with decimal, conversion, and sine tables. A solid mahogany handle is at one end. A brass index is screwed to the top of the handle. A second, longer brass index is screwed to the mahogany base and marked with a scale of equal parts used in finding logarithms. A third, removable, nickel-plated brass cylinder is inside the instrument and attached to the base. There is no case.

  The tables on the middle cylinder include: decimal equivalents of feet and inches in feet; decimal equivalents of quarter weights and pounds in hundredweights; decimal equivalents of ounces and pounds in fractions of a pound; decimal equivalents of pounds, shillings, and pence in fractions of a pound; decimal equivalents of pence in shillings; days of the year as a fraction of the year; decimal equivalents of subunits of an acre; properties of various metals and woods; decimal equivalents of minutes of a degree in degrees; the Birmingham wire gauge; various conversion factors (mostly for weights and measures); and natural sines.

  The outer, sliding cylinder is marked near the top: FULLERS SPIRAL SLIDE RULE. Near the bottom is marked: ENTD. STATS. HALL; STANLEY, Maker, LONDON. The bottom is stamped: 1389. The top of the long brass index is engraved: 1389 (/) 1901. According to Wayne Feely, these numbers indicate the instrument has serial number 1389 and was made by Stanley in 1901. A white celluloid tag affixed to the handle reads: KEUFFEL & ESSER CO. (/) ST. LOUIS. CHICAGO. (/) NEW YORK. (/) U.S.A. In the 1901 Keuffel & Esser catalog, Fuller's Spiral Slide Rule is listed as Model 4015 and priced at $30.00.

  See also 311958, 1998.0046.01, and 316575.

  References: Wayne E. Feely, "The Fuller Spiral Scale Slide Rule," Chronicle of the Early American Industries Association 50, no. 3 (1997): 93–98; Catalogue of Keuffel & Esser (New York, 1901), 290; James J. Fenton, "Fuller's Calculating Slide-Rule," Transactions and Proceedings of the Royal Society of Victoria 22 (1886): 57–61; Dieter von Jezierski, Slide Rules: A Journey Through Three Centuries, trans. Rodger Shepherd (Mendham, N.J.: Astragal Press, 2000), 42–43; George Fuller, Instructions for the Use of the Fuller Calculator (London: W. F. Stanley & Co., Ltd., [about 1950]), http://www.mccoys-kecatalogs.com/KEManuals/4015/4015.htm. An 1879 first edition of the instructions manual was received with the instrument and is stored in the accession file.

  Location

  Currently not on view

  date made

  1901

  inventor

  Fuller, George

  retailer

  Keuffel & Esser Co.

  maker

  Stanley, William Ford

  ID Number

  MA.313751

  catalog number

  313751

  maker number

  1380/1901

  accession number

  179682

  Data Source

  National Museum of American History

• 

  Keuffel & Esser 1742 Fuller's Spiral Cylindrical Slide Rule

  Description

  This rule consists of an outer wooden cylinder that both slides up and down and rotates. Two brass rings lined with felt are inside this cylinder. The cylinder is covered with paper marked with a single spiral logarithmic scale graduated into 7,250 parts and having a length, according to the maker, of 500 inches (nearly 42 feet). Inside the outer cylinder is a longer wooden cylinder, covered with paper marked with decimal, conversion, and sine tables, and half-lined with felt. A solid mahogany handle is at one end. A brass index is screwed to the top of the handle. A second, longer brass index is screwed to the mahogany base and marked with a scale of equal parts used in finding logarithms. A third and removable brass cylinder is inside the instrument and attached to the base.

  The tables on the middle cylinder include: decimal equivalents of feet and inches in feet; decimal equivalents of quarter weights and pounds in hundredweights; decimal equivalents of ounces and pounds in fractions of a pound; decimal equivalents of pounds, shillings, and pence in fractions of a pound; decimal equivalents of pence in shillings; days of the year as a fraction of the year; decimal equivalents of subunits of an acre; properties of various metals and woods; decimal equivalents of minutes of a degree in degrees; the Birmingham wire gauge; various conversion factors (mostly for weights and measures); and natural sines.

  The outer, sliding cylinder is marked near the top: FULLERS SPIRAL SLIDE RULE. Near the bottom is marked: ENTD. STATS. HALL; STANLEY, Maker, LONDON. The bottom of the outer cylinder and the top of the long brass index are stamped: 858. According to Wayne Feely, the serial number 858 dates this instrument to 1895 or 1896.

  The rule is in a rectangular mahogany case marked in script on the top: Calculator. A paper Keuffel & Esser label on the inside lid of the instrument's mahogany case is marked in ink: 1742 (/) Fuller's (/) Spiral (/) Slide Rule. Fuller's Spiral Slide Rule was first listed in Keuffel & Esser's 1895 catalog and sold for $28.00.

  George Fuller, professor of civil engineering at Queen's University in Belfast, Ireland, patented this instrument in 1878. The Stanley firm made about 14,000 Fuller's spiral slide rules over nearly one hundred years, with K&E distributing a large share of the instruments sold in the United States. The Naval Engineering Division of the U.S. Coast Guard transferred this example to the Smithsonian in 1959. The Coast Guard engineers provided brief instructions:

  "To calculate (5 X 6 X 4)/3 turn the outer cylinder until the first factor (5) is opposite the fixed pointer, set the slot in the movable indicator to read (0), turn the outer cylinder until the second factor (6) appears opposite the movable indicator. (The result will be found on the outer cylinder opposite the first indicator.) To multiply by the third factor (4), set the slot in the movable indicator to (0), turn the outer cylinder until the movable indicator indicates the third factor (4); (the result will be found opposite the fixed indicator.) To divide by (3) set the movable indicator to (3), turn outer cylinder until the slot in the movable indicator is (0) on the outer cylinder and the result will be found opposite the fixed pointer."

  See also MA.311958, 1998.0046.01, and MA.313751.

  References: William Ford Stanley, Surveying and Leveling Instruments, 3rd ed. (London, 1901), 542–543; Wayne E. Feely, "The Fuller Spiral Scale Slide Rule," Chronicle of the Early American Industries Association 50, no. 3 (1997): 93–98; Catalogue of Keuffel & Esser (New York, 1895), 190.

  Location

  Currently not on view

  date made

  1895-1896

  maker

  Keuffel & Esser Co.

  Stanley, William Ford

  ID Number

  MA.316575

  accession number

  225751

  catalog number

  316575

  Data Source

  National Museum of American History

• 

  Dancing Leg Calipers

  Description

  Calipers are used to measure round objects, both around the outside (machine parts, rifle shot) and from the inside (a rifle barrel). They were often included in cases of drawing instruments in the 18th and 19th centuries and shaped like the human body, mainly for the enjoyment of the machinist or draftsman. This pair is missing its set screw and has been welded into a fixed position. It has no identifying marks.

  Reference: Maya Hambly, Drawing Instruments: 1580–1980 (London: Sotheby's Publications, 1988), 73, 88.

  Location

  Currently not on view

  date made

  19th century

  ID Number

  MA.316932

  accession number

  219305

  catalog number

  316932

  Data Source

  National Museum of American History

• 

  Amsler Type 2 Polar Planimeter Sold by Crosby Steam Gage & Valve

  Description

  This German silver instrument has a 4" arm with tracer point and 6" pole arm with short cylindrical weight. The arm lengths are fixed. The tracer arm and pole arm are connected by a hinge and form a circle around the measuring wheel, vernier, and registering dial when the instrument is closed. The top of the pole arm is marked in script: Crosby Steam Gage & Valve Co. Boston. The top of the weight is marked: 16378 (/) 10 [square] in. A serial number is marked underneath the tracer arm and the weight: 10259.

  A wooden case is covered with black leather and lined with purple velvet. The top of the case is marked: CROSBY STEAM GAGE & VALVE C^o (/) BOSTON.

  To measure the areas of diagrams produced by its steam engine indicators, Crosby imported and sold Amsler polar planimeters of types 1, 2, and 3. The presence of a registering dial and the screw thread on the post extending from the measuring wheel indicates that this example is a type 2. Planimeter expert Joachim Fischer dated this object to about 1882. Charles W. Batchelor (1845–1910), the father of the donor, used it in his work as one of Thomas A. Edison's chief assistants. For instance, between 1884 and 1888, he managed the Edison Machine Works, where a planimeter may have been especially useful. From 1888 to at least 1907, Crosby sold the Amsler type 2 in a case for $25.00. For information on Amsler and his invention, see 1987.0107.10. Compare to 1989.0305.01.

  References: Crosby Steam Gage & Valve Co. Catalogue (Boston, 1888), 104–109; Crosby Steam Gage & Valve Co. Catalogue (Boston, 1900), 170–176; Crosby Steam Gage & Valve Co. Catalogue (Boston, 1907), 203–210; Crosby Steam Gage & Valve Company, Practical Instructions Relating to the Construction and Use of the Steam Engine Indicator (Boston, 1911), 43–46, 83–86; Craig Bliss, The Crosby Steam Gage & Valve Co., http://www.crosby-steam.com/index.htm.

  Location

  Currently not on view

  date made

  1880s

  distributor

  Crosby Steam Gage & Valve Company

  maker

  Amsler, Jacob

  ID Number

  MA.318485

  catalog number

  318485

  accession number

  233749

  Data Source

  National Museum of American History

• 

  Straight Edge Signed I. R. C. Co.

  Description

  This undivided black hard-rubber rule is beveled along both long edges. It is marked: I. R. C. CO. (/) GOODYEAR. Scratched on the back of the rule is: Brereton. IRC, or Inoue Rubber Company, was established in Japan in 1926 to make bicycle tires and tubes. The reference to Goodyear is likely to the manufacturing process pioneered by Charles Goodyear and not to the Goodyear Tire & Rubber Company. Brereton was presumably the original owner of the instrument, which was acquired by the Museum in 1961. Compare to MA.327306.

  Reference: IRC Tire, "About Us," http://www.irc-tire.com/en/bc/company/

  Location

  Currently not on view

  date made

  1926–1961

  ID Number

  MA.319738

  accession number

  239019

  catalog number

  319738

  Data Source

  National Museum of American History

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