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

The Architecture Militaire is a single manuscript volume that provides instructions for the construction of a fortified building in the shape of a star. The volume consists primarily of prose description, but also includes a series of 16 illustrative plates showcasing detailed architectural drawings.

The Architecture Militaire is a single manuscript volume that provides instructions for the construction of a fortified building in the shape of a star. The volume consists primarily of prose description, but also includes a series of 16 illustrative plates showcasing detailed architectural drawings. The drawings are signed "A Toulouse chez Baour." The book has 12 chapters about construction methods, including lists of potential problems with suggested remedies. The volume includes discussions and critiques of existing construction methods, including those of the ancient French, the Dutch, the Comte de Pagan, Vauban, and others (chapter 11). The final chapter, entitled "Idee generalle de l'attaque d'une place et de la maniere de fortifier un camp," contains equations relevant to fort construction. The final section of the book consists of detailed ink drawings similar, but not identical to, those found in Samuel Marolois's Fortification ou Architecture Militaire Tant Offensive que Deffensive. These show different aspects of construction relevant to the text and include one page illustrating various military paraphernalia.

These Eighteenth-Century sermons pertain to numerous topics such as sin, repentance, and salvation.

Seven eighteenth-century Christian sermons concern numerous religious topics. Five are dated February 6, 1757-August 28, 1757; and 2 are dated August 17, 1760, and April 26, 1761. Each sermon is based on a Bible verse, usually in the New Testament, and most pertain to sin, repentance, and salvation. The undated item of copied Bible verses also has notes about baptism and the life and miracles of Jesus Christ. See the Detailed Box and Folder Listing for more information.

This manuscript, entitled The Number of Polls and the Value of rateable Estates within the Province of Massachusetts-bay during the year 1771, contains a detailed calculation of the total tax revenue generated by Massachusetts in 1771. The manuscript may be in the hand of George Chalmers.

This manuscript is entitled "The Number of Polls and the Value of rateable Estates within the Province of Massachusetts-bay during the year 1771." The figures are presented by county, with each county divided into towns; totals for each town and county are provided, as are totals for the entire colony, multiplied by current tax rates to provide a proportional and total amount of taxes owed in 1771. The information was presented to the House of Delegates.

• Suffolk: 8,446 (including Boston's 2,876)
• Essex: 11,697
• Middlesex: 8,987
• Hampshire: 6,779
• Plymouth: 6,163
• Barnstable: 3,478
• Bristol: 5,842
• York: 3,368
• Dukes: 692
• Nantucket: 1,130
• Cumberland: 2,683
• Lincoln: 1,844
• Worcester: 9,697
• Berkshire: 2,773

A "Recapitulation" shows a total count of 73,478 polls and a total estate value of £549,001 17s. 4d. Taxes accrued equal £382 14s. 0d. from polls, £617 12s. 6d. from estates, and £1000 6s. 6d. total.

This item is a bound collection of espionage correspondence from Paris, 1780, that describes the locations and numbers of French and Spanish ships in Gibraltar, New York, Canada, and the West Indies.

This volume is a bound collection of espionage correspondence from Paris, 1780. The 37 reports (65 pages) describe the locations and numbers of French and Spanish ships in Gibraltar, New York, Canada, and the West Indies. Many entries discuss the number of troops stationed at various ports, the conditions of the crew ("They are badly manned and sickly, especially the Spanish who also find it difficult to recruit their navy" p.40), and the outcomes of engagements ("The French had suffered greatly, most of the ship's masts being damaged...100 men have been killed and at least 1,200 wounded" (p.47). The author often provides logistical information such as lists of ships and crew sizes, as well as the names of the ships' captains.

1774 Philadelphia reprint of the first volume of The Works of Laurence Sterne (Tristram Shandy, Gentleman), containing manuscript orders for a brigade possibly encamped in Morristown, New Jersey, around May 1781.

The four pages of notes written in the flyleaf of Laurence Sterne's novel, Tristram Shandy, Gentleman, contain orders from a brigade commander and from General George Washington, likely given in May 1781 at Morristown, New Jersey. Orders were typically written in regimental orderly books, but, for an unknown reason, they were instead copied into the novel. The first portion of the document contains the orders of the brigade commander, which concern the shoeing of artillery and ammunition horses, the distribution of 50 pairs of stockings, and the securing of a hogshead of rum. Below this are orders from General George Washington, which establish a "standing Rule" forbidding the impressment of horses and wagons, except by commanding officers and colonels. The document also provides for punishment of violators, including arrest and "39 Lashes whithout Ceremony of a Cour[t] mar[tial]."

This bound manuscript contains the text of a sermon delivered in Lancaster, Pennsylvania, in December 1783, about a desirable political future of the United States from a Christian point of view.

This bound manuscript contains the text of a sermon delivered in Lancaster, Pennsylvania, in December 1783, about a desirable political future of the United States from a Christian point of view. The 31-page volume, entitled "An Exhortation to Peace under the American Revolution, addressed to the Inhabitants of Lancaster in the State of Pennsylvania, December 11, 1783," is divided into several sections, each copied by a distinct, clear hand and signed, though the text runs unbroken throughout the book. The first page of the address indicates that it is based on Jeremiah 24:7, and it begins by examining the situation of the Jews in ancient Babylon, and comparing that to the situation that led to the American colonies' fight for independence. From there, the sermon continues to expound upon religious and political themes, encouraging a "cordial union among the members of each particular state, as well as among the United States in general" and arguing that a Christian ethos would serve as a strong foundation for the new nation. The treatise weaves together themes of Christian faith and contemporary politics to create a vision of a positive future for the United States.

This log book pertains to the voyage of the bark Neptune from Philadelphia, Pennsylvania, to Mauritius and back to Philadelphia between May 1789 and August 1790, as well as multiple voyages of the schooner Federal between Pennsylvania and the Caribbean between March 1791 and November 1791.

This log book (around 200 pages) pertains to the voyages of the bark Neptune from Philadelphia, Pennsylvania, to the Isle of France (present-day Mauritius) and back to Philadelphia from 1789-1790 and voyages of the schooner Federal between Pennsylvania and the Caribbean in 1791. The log entries are written in a pre-printed The Seamen's Journal Book (London, 1785), with sections for each day's measurements and remarks.

The log entries from the voyages of the Neptune (which comprise the bulk of the volume) and the Federal are typically notes on the wind direction, ships' courses, and ships' positions. Additional prose remarks concern weather conditions, the sighting of land, encounters with other ships, and anchorage at a port or harbor. The log has gaps during the Neptune's stay at the Isle of France and during the Federal's time in Caribbean and United States ports.

The first page of the volume, preceding the printed title page, has calculations involving an epact. The book's final pages contain entries from one of the Federal's voyages and additional notes about the Neptune's time at the Isle of France in December 1789 (particularly regarding a thunderstorm). A sheet of paper laid into the book contains notes about an unknown vessel's anchorage at Saint Helena in May and December 1783.

This collection consists of a commonplace book (approximately 50 pages) compiled by Ann Greene after 1790, and an account of a 44-day voyage John Grew and his family took from Liverpool to Boston in the summer of 1795. The 22-page travel diary also includes an 8-page copy of a letter Mary Grew, John Grew's mother, wrote to her family in England upon her arrival in Boston.

This collection consists of a commonplace book (approximately 50 pages) compiled by Ann Greene after 1790, and an account of a 44-day voyage John Grew and his family took from Liverpool to Boston in the summer of 1795. The 22-page travel diary also includes an 8-page copy of a letter Mary Grew, John Grew's mother, wrote to her family in England upon her arrival in Boston.

Ann Greene's commonplace book has two parts: 33 pages of transcribed poetry (24 poems) begin at the front cover, and 15 additional pages of personal reflections and letter drafts begin at the back cover. Much of the poetry was originally written by British authors whose work circulated widely in the eighteenth century, such as James Boswell, James Thomson, William Cowper, and Elizabeth Singer Rowe. Greene occasionally recorded the volume and page from which she transcribed poems. The other portion of the volume contains personal resolutions about making good use of one's time, interspersed with light-hearted notes about beaux or friends.

The travel diary records the Grew family's emigration from Birmingham England, to Boston, Massachusetts, in 1795. Daily entries, written between May 23 and July 8, 1795, detail several aspects of the voyage, such as the weather, passing ships, maritime wildlife, and the ship's progress. The diarist also mentioned an instance when another vessel mistook their ship for a French privateer, and the effects of a tumultuous storm.

The final 8 pages contain a copy of a letter Mary Coltman Grew (1756-1834) wrote to her mother in England from Boston, Massachusetts (July 24, 1795). She detailed her initial impressions of the city and of local customs. Among other topics, she reflected on the climate, housing, servants, dress, food, and religious customs. She also related an anecdote about Benjamin Franklin, who reportedly distributed printed cards to strangers in order to preempt any inquiries about him.

This currently unidentified student's cypher book contains mathematical rules and examples largely in the service of commerce. Entries relate to the addition of money, addition of Troy weight, addition of dry measure, subtraction, a numeration table, a multiplication table, the Golden Rule (i.e. the rule of three), and similar concepts. Currency in this volume is almost exclusively British coinage, but at least one problem references conversion of British pounds into the (newly created) U.S. dollar. The covers of the volume are (apparently re-used) canvas, possibly sailcloth. The cypher book was owned by the Higgins family of Cape Cod, Massachusetts, and it contains names of Higgins family members, but the author is yet undetermined.