Science & Mathematics

Chemical Balance

The Museum's collections hold thousands of objects related to chemistry, biology, physics, astronomy, and other sciences. Instruments range from early American telescopes to lasers. Rare glassware and other artifacts from the laboratory of Joseph Priestley, the discoverer of oxygen, are among the scientific treasures here. A Gilbert chemistry set of about 1937 and other objects testify to the pleasures of amateur science. Artifacts also help illuminate the social and political history of biology and the roles of women and minorities in science.

The mathematics collection holds artifacts from slide rules and flash cards to code-breaking equipment. More than 1,000 models demonstrate some of the problems and principles of mathematics, and 80 abstract paintings by illustrator and cartoonist Crockett Johnson show his visual interpretations of mathematical theorems.

Topic: Art

Painting -Hippias' Curve

This painting is a construction of Crockett Johnson, relating to a curve attributed to the ancient Greek mathematician Hippias. This was one of the first curves, other than the straight line and the circle, to be studied by mathematicians.
Description
This painting is a construction of Crockett Johnson, relating to a curve attributed to the ancient Greek mathematician Hippias. This was one of the first curves, other than the straight line and the circle, to be studied by mathematicians. None of Hippias's original writings survive, and the curve is relatively little known today. Crockett Johnson may well have followed the description of the curve given by Petr Beckmann in his book The History of Pi (1970). Crockett Johnson's copy of Beckmann’s book has some light pencil marks on his illustration of the theorem on page 39 (see figure).
Hippias envisioned a curve generated by two motions. In Crockett Johnson's own drawing, a line segment equal to OB is supposed to move uniformly leftward across the page, generating a series of equally spaced vertical line segments. OB also rotates uniformly about the point O, forming the circular arc BQA. The points of intersection of the vertical lines and the arc are points on Hippias's curve. Assuming that the radius OK has a length equal to the square root of pi, the square AOB (the surface of the painting) has area equal to pi. Moreover, the height of triangle ASO, OS, is √(4 / pi), so that the area of triangle ASO is 1.
The painting has a gray border and a wood and metal frame. The sections of the square and of the regions under Hippias's curve are painted in various pastel shades, ordered after the order of a color wheel.
This oil painting is #114 in the series. It is signed on the back: HIPPIAS' CURVE (/) SQUARE AREA = (/) TRIANGLE " = 1 = [ . .] (/) Crockett Johnson 1973.
Location
Currently not on view
date made
1973
referenced
Hippias
painter
Johnson, Crockett
ID Number
1979.1093.76
accession number
1979.1093
catalog number
1979.1093.76

Lithograph of "Indian Antiquities" pottery artifacts

P. S. Duval and Company (ca 1840s-1858) of Philadelphia produced this chromolithographic print from an original illustration by John M. Stanley (1814-1872).
Description (Brief)
P. S. Duval and Company (ca 1840s-1858) of Philadelphia produced this chromolithographic print from an original illustration by John M. Stanley (1814-1872). The image of "Wooden Ware, etc." was published as Plate X in Volume 2, following page 116 of Appendix E (Indian Antiquities) by Thomas Ewbank (1792-1870) in the report describing "The U.S. Naval Astronomical Expedition to the Southern Hemisphere during the Years 1849, 1850, 1851, and 1852" by James M. Gillis (1811-1865). The volume was printed in 1855 by A. O. P. Nicholson (1808-1876) of Washington, D.C.
Location
Currently not on view
date made
1855
original artist
Wallis, O. J.
Dreser, William
Herbst, Francis
graphic artist
Sinclair, Thomas
Dougal, William H.
Duval, Peter S.
printer
Nicholson, A. O. P.
publisher
United States Navy
original artist
Richard, John H.
Stanley, John Mix
Siebert, Selmar
author
Cassin, John
Ewbank, Thomas
Baird, Spencer Fullerton
Gilliss, James Melville
ID Number
2007.0204.01
accession number
2007.0204
catalog number
2007.0204.01

Chromolithograph of bird species "Euphonia Rufiventris adult male and Chlorophonia Occipitalis adulte male"

Thomas Sinclair (ca 1805-1881) of Philadelphia produced this pre-press chromolithographic proof of "Euphonia refiventis [Vieill] adult male and Chlorophonia occipitalis [Du Bus] adult male," now "Euphonia rufiventris" (Rufous-bellied eupohina) and "Chlorophonia occipitalis" (Blue
Description (Brief)
Thomas Sinclair (ca 1805-1881) of Philadelphia produced this pre-press chromolithographic proof of "Euphonia refiventis [Vieill] adult male and Chlorophonia occipitalis [Du Bus] adult male," now "Euphonia rufiventris" (Rufous-bellied eupohina) and "Chlorophonia occipitalis" (Blue-crowned chlorophonia), from an original illustration by William Dreser (ca 1820, fl. 1849-1860). The image was published as Plate XX in Volume 2, following page 182 of Appendix F (Zoology-Birds) by John Cassin (1813-1869) in the report describing "The U.S. Naval Astronomical Expedition to the Southern Hemisphere during the Years 1849, 1850, 1851, and 1852" by James M. Gillis (1811-1865). The volume was printed in 1855 by A. O. P. Nicholson (1808-1876) of Washington, D.C.
Location
Currently not on view
date of book publication
1855
graphic artist
Sinclair, Thomas
original artist
Dreser, William
printer
Nicholson, A. O. P.
publisher
United States Navy
author
Cassin, John
Gilliss, James Melville
ID Number
2008.0175.06
accession number
2008.0175
catalog number
2008.0175.06

Lithograph of bird species "Ericornis Melanura and Scytalopus Fuscus"

Thomas Sinclair (ca 1805-1881) of Philadelphia produced this chromolithographic print of "Ericornis melanura [Gray] adult and Scytalopus fuscus [Gould],” now "Chilia melanura" (Crag chilia), and "Scytalopus fuscus" (Dusky tapaculo), from an original illustration by William Dreser
Description (Brief)
Thomas Sinclair (ca 1805-1881) of Philadelphia produced this chromolithographic print of "Ericornis melanura [Gray] adult and Scytalopus fuscus [Gould],” now "Chilia melanura" (Crag chilia), and "Scytalopus fuscus" (Dusky tapaculo), from an original illustration by William Dreser (ca 1820, fl. 1849-1860). The image was published as Plate XXI in Volume 2, following page 188 of Appendix F (Zoology-Birds) by John Cassin (1813-1869) in the report describing "The U.S. Naval Astronomical Expedition to the Southern Hemisphere during the Years 1849, 1850, 1851, and 1852" by James M. Gillis (1811-1865). The volume was printed in 1855 by A. O. P. Nicholson (1808-1876) of Washington, D.C.
Location
Currently not on view
date of book publication
1855
graphic artist
Sinclair, Thomas
original artist
Dreser, William
printer
Nicholson, A. O. P.
publisher
United States Navy
author
Cassin, John
Gilliss, James Melville
ID Number
2008.0175.05
accession number
2008.0175
catalog number
2008.0175.05

Documentation, Letters and Drawings of Crockett Johnson Sent to Milton Rosenau

Between 1968 and 1975, the artist and author Crockett Johnson (1906-1975) sent a variety of mathematical inquiries to his Connecticut acquaintance Milton (Mickey) Rosenau. The questions relate to Crockett Johnson's mathematical paintings and drawings for them.
Description
Between 1968 and 1975, the artist and author Crockett Johnson (1906-1975) sent a variety of mathematical inquiries to his Connecticut acquaintance Milton (Mickey) Rosenau. The questions relate to Crockett Johnson's mathematical paintings and drawings for them. Rosenau's replies apparently do not survive.
For related transactions, see the collection of Crockett Johnson's mathematical paintings (transaction 1979.1093), related nonaccessioned correspondence and drawings of Crockett Johnson (transaction 1979.3083), and correspondence received from Harley Flanders (transaction 2009.3005).
Location
Currently not on view
date made
1968-1975
maker
Johnson, Crockett
ID Number
2012.3120.01
nonaccession number
2012.3120
catalog number
2012.3120.01

Lithograph of bird species "Chrysomitris Marginalis"

Thomas Sinclair (ca 1805-1881) of Philadelphia produced this chromolithographic print of "Chrysomitris marginalis [Bonaparte] male and female" (common name: Black-chinned Siskin) after an original illustration by William Dreser (b. 1820, fl. 1849-1860).
Description (Brief)
Thomas Sinclair (ca 1805-1881) of Philadelphia produced this chromolithographic print of "Chrysomitris marginalis [Bonaparte] male and female" (common name: Black-chinned Siskin) after an original illustration by William Dreser (b. 1820, fl. 1849-1860). The image was published as Plate XVII in Volume 2, following page 180 of Appendix F (Zoology-Birds) by John Cassin (1813-1869) in the report describing "The U.S. Naval Astronomical Expedition to the Southern Hemisphere during the Years 1849, 1850, 1851, and 1852" by James M. Gillis (1811-1865). The volume was printed in 1855 by A. O. P. Nicholson (1808-1876) of Washington, D.C.
Description
Thomas Sinclair (c.1805–1881) of Philadelphia printed this lithograph of “Chrysomitris Marginalis [Bonaparte] male and female," now "Carduelis barbata" or Black-chinned siskin, from an original sketch by William Dreser (c.1820–after 1860) of Philadelphia (1847–1860) and New York (1860). The illustration was published in 1855 by A.O.P. Nicholson in Washington, D.C. as Plate XVII in the “Birds” section of volume II of The United States Naval Astronomical Survey to the Southern Hemisphere, written by John Cassin (1813–1869).
Location
Currently not on view
date made
1855
graphic artist
Sinclair, Thomas
Dreser, William
printer
Nicholson, A. O. P.
publisher
United States Navy
author
Cassin, John
Gilliss, James Melville
ID Number
2008.0175.03
accession number
2008.0175
catalog number
2008.0175.03

Microscope

Brass screw barrel microscope with several lenses, ivory handle, six ivory slides, and wooden box covered with dark fish skin. James Wilson, an optical instrument maker in London, described the form in 1702.
Description
Brass screw barrel microscope with several lenses, ivory handle, six ivory slides, and wooden box covered with dark fish skin. James Wilson, an optical instrument maker in London, described the form in 1702. He did not make the first instruments of this sort, and never claimed to, but the form was often associated with him.
Ref: James Wilson, “The Description and Manner of Using a Late Invented Set of Small Pocket-Microscopes, Made by James Wilson,” Philosophical Transactions of the Royal Society of London 23 (1702): 1241-1247.
Reginald Clay and Thomas Court, The History of the Microscope (London, 1932), pp. 44-50.
Location
Currently not on view
date made
1730-1760
ID Number
1991.0664.0906
accession number
1991.0664
catalog number
M-06302
collector/donor number
SAP 994
catalog number
1991.0664.0906

Painting - Morley Triangle

In the late 1960s and early 1970s, the American cartoonist Crockett Johnson created a series of paintings on mathematical subjects.
Description
In the late 1960s and early 1970s, the American cartoonist Crockett Johnson created a series of paintings on mathematical subjects. This oil painting, #74 in the series, dates from 1969 and is signed "CJ69." It is based on a theorem in plane geometry proved by the English-born mathematician Frank Morley (1860–1937). Morley emigrated to the United States and taught at Haverford College and Johns Hopkins University.
The painting illustrates his best-known result. It shows lines that divide the three angles of the large triangle into three equal parts. Lines coming from different vertices of the triangle meet in points. The triangle formed by joining the intersections of the trisectors, which lie nearest to the three sides of the triangle, is shown in white in the painting. According to Morley's theorem, this is an equilateral triangle.
Date made
1969
painter
Johnson, Crockett
ID Number
1979.1093.48
catalog number
1979.1093.48
accession number
1979.1093

1876 Ellen Harding Baker's "Solar System" Quilt

This intriguing quilt, “Solar System,” was made by Ellen Harding Baker (1847-1886), an intellectually ambitious Iowa wife and mother.
Description
This intriguing quilt, “Solar System,” was made by Ellen Harding Baker (1847-1886), an intellectually ambitious Iowa wife and mother. It came to the National Museum of American History in 1983, a gift from her granddaughters.
The maker, Sarah Ellen Harding, was born in Ohio or Indiana, in 1847, and married Marion Baker of Cedar County, Iowa, on October 10, 1867. In the 1870s they moved to Johnson County, where Marion had a general merchandise business in Lone Tree. Ellen had seven children before she died of tuberculosis on March 30, 1886.
The wool top of this applique quilt is embellished with wool-fabric applique, wool braid, and wool and silk embroidery. The lining is a red cotton-and-wool fabric and the filling is of cotton fiber. The design of this striking and unusual quilt resembles illustrations in astronomy books of the period. Included in the design is the appliqued inscription, “Solar System,” and the embroidered inscription, “E.H. Baker.” Mrs. Baker probably began this project in 1876, as per the “A.D.1876” in the lower right corner.
The “Solar System” quilt was probably completed in 1883 when an Iowa newspaper reported that “Mrs. M. Baker, of Lone Tree, has just finished a silk quilt which she has been seven years in making.” The article went on to say that the quilt “has the solar system worked in completely and accurately. The lady went to Chicago to view the comet and sun spots through the telescope that she might be very accurate. Then she devised a lecture in astronomy from it.” This information was picked up the by the New York Times (September 22, 1883).
The large object in the center of the quilt is clearly the Sun, and the fixed Stars are at the outer edges. Around the Sun are the orbits of Mercury, Venus, Earth and Moon, and Mars. Not shown are the two moons of Mars that were first seen, at the U.S. Naval Observatory in 1877. The four curious clumps beyond Mars represent the asteroids. The first asteroid (Ceres) had been found in 1801, and with the proliferation of ever more powerful telescopes, ever more objects came into view. Then there is Jupiter with its four moons first seen by Galileo, and Saturn with its rings. The six moons orbiting Uranus are somewhat confusing, as astronomers did not agree on the actual number. Neptune has the one moon discovered by an English astronomer in 1846, shortly after the planet itself was seen.
The large item in the upper left of the quilt is surely the naked-eye comet that blazed into view in the spring of 1874, and that was named for Jerome Eugene Coggia, an astronomer at the Observatory in Marseilles. Americans too took note. Indeed, an amateur astronomer in Chicago put a powerful telescope on the balcony of the Interstate Industrial Exposition Building (1872-1892), a large glass structure recently erected along the shore of Lake Michigan, and offered to show Coggia’s Comet to citizens of and visitors to the Windy City.
The New York Times described Mrs. Baker’s intention to use her quilt for pedagogical purposes as “somewhat comical”---but it was clearly behind the times. Most Americans knew that women were teaching astronomy and other sciences in grammar schools, high schools and colleges, in communities across the country. Mrs. Baker, for her part, may have been inspired by the fact that the famed Maria Mitchell, professor at Vassar College, had brought four students and piles of apparatus, to Burlington, Iowa, to observe a solar eclipse in August 1869.
Location
Currently not on view
Date made
1876
user
Baker, Ellen Harding
quilter
Baker, Ellen Harding
ID Number
1983.0618.01
catalog number
1983.0618.01
accession number
1983.0618

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