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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 log book documents the voyage of the merchant brig Swiftsure from Boston, Massachusetts, to India by way of Mauritius, and back to Boston, between November 1817 and January 1819. Ralph I. Linzee was the ship's captain for the voyage.

This log book documents the voyage of the merchant brig Swiftsure from Boston, Massachusetts, to India by way of Mauritius, and back to Boston, between November 1817 and January 1819. Ralph I. Linzee was the ship's captain for the voyage. The volume is approximately 180 pages, has a hand-stitched heavy linen cover, and includes the handwriting of multiple unidentified bookkeepers.

The log begins on November 26, 1817, just before the Swiftsure's departure for Calcutta, India, by way of Port Louis, Mauritius. The daily entries record information on the ship's course, prevailing winds, weather, distances traveled, unusual incidents, and (occasionally) crewmembers' behavior or illnesses. The writers frequently described the sails used for navigation. On one occasion, the ship's steward had a physical altercation with Captain Linzee (March 16, 1818), and several entries from November 1818 detail a pox that afflicted the ship's cook, Lewis Wilson. The Swiftsure returned to Boston around January 20, 1819, bearing cotton, cowhides, silk, and other goods. The log's final entry is dated January 27, 1819. Supplementary information within the volume includes lists of articles received from the ship's chandler (foods, sails, and ammunition) and accounts of cordage and food for the crew.

This volume (209 pages) contains instructions, diagrams, and tables related to many aspects of sailing and British naval ships.

This volume (209 pages) contains instructions, diagrams, and tables related to many aspects of sailing and British naval ships. Multiple unidentified writers contributed to this book.

The first section is comprised of a manuscript excerpt from S. John Peschell's Observations upon the Fitting of Guns on Board His Majesty's Ships. Peschell, who was stationed on the HMS San Domingo in Bermuda, provided instructions for mounting, firing, and otherwise working with guns onboard a ship. He also discussed some differences between the Royal Navy and United States Navy, and wrote about the battle between the Shannon and the Chesapeake. The text is accompanied by charts showing elevations and depressions of the San Domingo's guns and a copied letter from several ship captains to Admiral Richard Bickerton.

The remainder of the volume consists primarily of notes about naval vessels, intended for commanders. They concern ship construction, sailing methods, gunnery and first aid. Some instructions are accompanied by diagrams. Other information includes recipes, a list of items to be placed next to a ship's guns, and notes about ammunition. The end of the volume contains accounts of quill tubes, powder, shot, and wads on an unidentified ship from 1824-1825, and a list of addresses.