Collections : [University of Michigan William L. Clements Library]

The Practical Mathematics manuscript contains definitions and problems related to algebra, geometry, trigonometry, navigation, and surveying. Many of the problems are accompanied by illustrated figures and/or practical examples.

The Practical Mathematics manuscript contains definitions and problems related to algebra, geometry, trigonometry, navigation, and surveying. These categories are divided into specific applications; the section on algebra deals with topics such as basic algebraic statements, algebraic fractions, simple and quadratic equations, and arithmetical and geometrical progressions. Most of the problems are accompanied by illustrated figures and/or examples of concepts' practical applications. A section concerning globes pertains to both terrestrial and celestial globes, and includes a list of the signs of the zodiac, as well as descriptions of navigational methods, accompanied by a compass rose and charts, including "Mercator's Charts."

The manuscript also explains methods for determining location and time by observing celestial objects, and contains instructions for keeping ships' logs and surveying notes. A section on navigation includes a copied log from the voyage of the Pegasus from England to Barbados (January 31, 1737-March 22, 1737), as well as a map showing the coasts of France and Spain and the islands around Barbados. Some of the surveying problems are illustrated with a sailing ship, a tree, and a turret.

• Algebra
  • Simple Equations
  • Quadratic Equations
  • Arithmetic Progressions
  • Geometric Progressions
• The Use of Globes
  • Terrestrial Globe
  • Celestial Globe
• Spherical Geometry
• Spherical Trigonometry
  • [Acute] Angled
  • Right Angled
  • Oblique Angled
• "To Find the Prime or Golden Number"
• Geometry
• Trigonometry
  • Plain Trigonometry
  • Spherical Trigonometry
• Navigation
  • Latitude
  • Longitude
  • Sailing
    • Plain Sailing
    • Traverse Sailing
    • Mercator's Sailing
    • Parallel Sailing
    • Oblique Sailing
    • Plain Sailing by Arithmetic
• Observation by the Meridian Altitude or Zenith Distance of the Sun or Stars
• Rules for Keeping a Journal [Ship's Log]
• Astronomy
• Dialing
• Surveying
• Mensuration
  • Mensuration of Superficies
  • Mensuration of Solids
  • Measuring of Timber

This atlas compiled by R. A. L. Robinson features small maps of the nations of the world, with descriptions of different societies (education, government, etc.) and comparisons to the United States.

This atlas compiled by R. A. L. Robinson features small maps of the nations of the world, with descriptions of different societies (education, government, etc.) and comparisons to the United States.

The majority of the regions represented in the volume are within Africa, Asia, and Europe. The descriptions of regions and countries include disparaging and condescending language.

The Rich Patch Iron & Ore Company collection is made up of correspondence, reports, financial records, maps, and other items related to mining operations in Virginia, West Virginia, Ontario, and Minnesota. Many items pertain to the geologic composition of lands in Alleghany County, Virginia, and Raleigh County, West Virginia, particularly with regard to iron and coal.

The Rich Patch Iron & Ore Company collection is made up of correspondence, reports, financial records, maps, and notes related to mining operations in Virginia, West Virginia, Ontario, and Minnesota. The majority of the items are reports addressed to individuals and companies about coal seams and iron mining in Alleghany County, Virginia, and Raleigh County, West Virginia, including geologic and chemical analyses; many concern the Glade Creek coal field in West Virginia. The collection also includes surveyor's map of land in Alleghany County, Virginia (November 14, 1874). A small group of "Daily Reports from Patch Mines" provides information on daily expenses, including the total cost of workers' wages. Other business letters and reports pertain to companies such as the Union Steel Company, and some of the notes contain illustrations of rock strata in coal lands. A smaller group of reports and maps concerns lands near Lake Nipigon in Ontario, Canada, and iron ore mining and shipments around Lake Superior. Another group of documents includes maps, notes, and reports about "Little Mesabi" (or "Mesaba") in Minnesota.

This "Missionary Journal" chronicles Congregational minister Timothy Mather Cooley's missionary trip to the New York counties of Oneida, Onondaga, and Chenango between June and October 1803. During his travels, he preached 108 sermons, visited 27 schools, baptized 53 people (of whom 50 were children), and helped establish a church in Verona, New York.

This "Missionary Journal" chronicles Congregational minister Timothy Mather Cooley's missionary trip to the New York counties of Oneida, Onondaga, and Chenango between June and October 1803. During his travels, he preached 108 sermons, visited 27 schools, baptized 53 people (of whom 50 were children), and helped establish a church in Verona, New York. He left his home on June 5, 1803, and headed for Northampton, where he received his formal commission from the Hampshire Missionary Society. From there, he went to Utica, and spent the next several months traveling around rural New York. Throughout his travels, he kept a log of his activities in various settlements, which often included delivering sermons, distributing literature, and talking to local residents; he frequently composed footnotes giving a general outline of each town. These notes usually recorded the year of the town's settlement, the number of families, churches, and schools, and the number of people who belonged to other Christian denominations, most frequently Baptists and Methodists. Though generally optimistic about his mission, he often commented that local residents were "poor, stupid, and ignorant" or, in one case, "stupid and vicious" (June 24). On July 9, he copied two drawings of coins resembling those Judas received for betraying Christ, and on July 23 described a visit to Baron von Steuben's gravesite. He also occasionally met with Native Americans, and described Oneida buildings (August 2) and a tour of an old burial ground (August 25). Often accompanied by the Reverend Peter Fish, he helped establish a church in Verona, New York, in August. He returned home on October 5. The back of the volume contains Cooley’s summary of his trip, a chart of distance traveled, sermons preached, schools visited, people baptized, donations received, and books distributed, and a note by C. Green, MD, a later owner of the journal, providing evidence for Cooley's authorship (December 1876).

• Map of Black River Settlements (June 24) (Housed in the Map Division)
• Map of Chenango County (August 14)
• Map of Onondaga County (October 5)

The Zaccheus Brown notebook contains information compiled between 1782 and 1783 on arithmetic, sailing and navigation, and surveying, as well as a log of the Phoenix's voyage from New Jersey to the Virgin Islands in 1789. Mathematical and navigational problems are often illustrated with diagrams, and the volume also contains an example of a Mercator chart of the Caribbean.

The Zaccheus Brown notebook (175 pages) contains information on arithmetic, sailing and navigation, and surveying, as well as a log of the Phoenix's voyage from New Jersey to the Virgin Islands in 1789.

The first 112 pages, compiled from 1782-1783, are comprised of information about mathematics and sailing and contain a brief ship's log. Mathematical subjects include square and cube roots, geometry, and plane trigonometry; Brown copied and solved mathematical problems, which are often illustrated with diagrams. Instructions for aiming cannons appear in the section about trigonometry. Brown also described sailing methods such as plane, traverse, oblique, Mercator, parallel, middle latitude, and current sailing, as well writing instructions for turning a ship windward and for determining location. The parts of the volume concerning sailing also contain problems, diagrams, and an example of a "Plane Chart" and "Mercator's Chart." The Mercator's chart shows the locations of islands in the northern Caribbean Sea. The notebook's other subjects include the compass, calculating the phases of the Moon, and the Gregorian calendar. A final section pertains to surveying.

Zaccheus Brown's notebook also contains logs concerning the voyage of the Endeavour (9 pages) and the schooner Phoenix (58 pages). The Endeavour log, attributed to "L. H," notes the ship's journey "from the Cape" in late June and early July 1783. The Phoenix log details Brown's voyage from June 17, 1789-September 1, 1789 from Salem, New Jersey, to the Virgin Islands and back to Virginia. Some of Brown's daily entries about his voyage on the Phoenix include charts recording the ship's course and position, along with additional remarks on wind speed and direction. Brown occasionally discussed other aspects of his voyage, such as the pidgin language spoken by the ship's Dutch crew and his premonitions after bad weather and delays. He also described the port and the island of Saint Thomas, a Dutch colony (currently part of the United States Virgin Islands).

The volume contains illustrations of a man in the sun, a compass rose, and a fish and man; the latter drawings are flourishes on the heading for the section of the book on cube roots. The back endpaper includes a table of angles related to navigation.