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

This collection consists of a manuscript schoolbook that belonged to Abraham P. Sherril in the mid-1810s and 4 daybooks that Sherril kept between 1837 and 1850. The schoolbook contains rules and example problems in subjects such as mathematics, business finance, and surveying, as well as examples of a daybook and double-entry ledger. The daybooks concern sales of foodstuffs, cloth, and other items in Pike, New York, from the 1830s-1850s.

This collection consists of a manuscript schoolbook and 4 daybooks. The Schoolbook (145 pages) contains 118 pages of notes and example problems concerning mathematics, business finance, and surveying, dated at East Hampton, New York, from March 1815-March 1818. Many of the geometrical and surveying problems are illustrated, and financial problems pertain to subjects such as European currencies and calculation of interest. The schoolbook also includes a copied poem. The final 27 pages provide examples of a daybook (January 1, 1819-January 31, 1819, 11 pages) and double-entry ledger (January 1, 1819-May 29, 1819, 16 pages). The same accounts are represented in each of these sections, and most pertain to sales of foodstuffs and fabrics. The 4 Daybooks (June 22, 1837-May 29, 1850, 765 pages) record Sherril's accounts with customers in Pike, New York. He sold foodstuffs such as butter, spices, and tea; household goods such as brooms and nails; clothing and fabrics such as calico; and other items, such as tobacco and soap.

The Arithmetic book collection includes a number of manuscript workbooks from the late colonial period through the 1820s that were used by students studying arithmetic and geometry.

The Arithmetic book collection includes a small number of manuscript workbooks used by students studying arithmetic or geometry, ranging in age from the late colonial period through the 1820s.

Daniel Conover composed this mathematics exercise book containing definitions, problems, solved examples, rules, cases, and remarks. Subjects covered include practical geometry, mensuration of superficies, conic sections, mensuration of solids, and cylindrical rings.

Daniel Conover composed this mathematics exercise book containing definitions, problems, solved examples, rules, cases, and remarks. Subjects covered include practical geometry, mensuration of superficies, conic sections, mensuration of solids, and cylindrical rings. Short sections relate to the application of the principles to the work of artificers, bricklayers, masons, carpenters and joiners, slaters and tilers, plasterers, painters and glaziers, pavers, as well as the construction of roofs and measuring timber. Conover illustrated examples of geometric shapes and angles, some painted with watercolors. A watercolor painting of a building also appears in the volume.

Elements of Navigation, a manuscript adaptation of John Robertson’s work of the same name, provides instruction and practical exercises in arithmetic, geometry, trigonometry, geography, astronomy, and navigational principles (781 pages). The volume is heavily illustrated with mathematical diagrams. It also contains a 1785 copy of a ship log for a 1772 voyage from England to Madeira, (21 pages).

"Elements of Navigation," a manuscript adaptation of John Robertson’s work of the same name, provides instruction and practical exercises in arithmetic, geometry, trigonometry, geography, astronomy, and navigational principles (781 pages). The volume is illustrated with mathematical diagrams. It also contains a 1785 copy of a ship's log for a 1772 voyage from England to Madeira (21 pages). The book is divided into 14 primary chapters, 11 of them preceded by an ink or watercolor illustration of buildings, ships, and places, such as the watercolor drawings "The Desire in a Storm" and "A west View of Islington, old Church." (See below for complete list.) Several chapters are further divided into sections, and most chapters or sections are followed by problems, questions, case studies, answers, and explanations. Please see the box and folder listing below for a table of contents.

The volume begins with explanations of basic mathematical principles, including arithmetic operations, decimals and fractions, roots and powers, notation, and "Tables of English Money, Weights, and Measures" (pp. 9 verso-10 verso). This chapter is followed by theorems and problems of geometry and trigonometry. The subsequent section on geography contains prose explanations of the discipline's foundations, such as the shape of the Earth, the concept of latitude and longitude, and the currently known world. Remarks on the continents are accompanied by tables showing major countries, principal cities, rivers, and mountains. The tables for North and South America are split, and individual states within the United States are identified as "countries," as are California, New Mexico, Old Mexico, Louisiana, Canada, New Britain, New Wales, and others. Introductory geographic material also includes content on winds, tides, and bodies of water. A segment on "chronology" introduces several scales for measuring time, and explains the reasoning behind concepts such as the leap year and the "Golden Number" (pp. 147-147 verso).

The remainder of the work focuses on the art of maritime navigation. Several topics include: the calculation of compound courses, oblique and windward sailing, sailing in currents, and globular sailing. The sections devoted to each topic are comprised primarily of rules or theorems, exercises, and illustrations of practical applicability. A chapter on "spherics" introduces spherical geometry and trigonometry. Two chapters on astronomy explain concepts in "star astronomy," "terrestrial astronomy," and "spherical astronomy," such as the composition of the Solar System, planetary movements, and mathematical applications. The final 80 pages contain information on the art of sailing and expand on principles previously discussed. These pages include instructions on how to calculate the location of a ship at sea, make necessary observations, and correct a ship's course, among other similar topics.

The final 21 pages consist of a log from an unknown ship traveling from England to Madeira in 1772, transcribed by James West in 1785. Between July 2 and July 11, the log contains notes on the weather, wind direction, and general remarks of occurrences on board as the ship prepared for its journey at Deptford, London. On one occasion, the author mentioned a sailor being disciplined for drunkenness (July 3). Between July 12 and July 28, the log documents the weather, wind direction, ship's location, use of various sails, and other information compiled throughout the course of each day. The ship arrived at Madeira on July 28. The log is followed by a brief note by James West concerning the location of Funchal, Madeira.

The non-mathematical illustrations separating the book's chapters are done in ink or watercolor, and depict rural scenes and sailing ships.

• [View of a village, with a man fishing in a river], p. 2
• [View of a river, with a cylindrical building in the foreground and a church in the background], p. 76
• [View of an arched gateway, with attached buildings and bridge], p. 114
• [View of a stone building with a high-peaked roof, alongside a body of water], p. 138
• "The Victor in a calm sea," p. 187
• [Oval-framed view of two persons sitting beside a river, with a ship and fortifications in the background], p. 202
• "The Desire in a Storm," p. 223
• [Oval-framed view of a small sailing vessel on shore beside a stone building], p. 241
• "A west View of Islington, Old Church," p. 267
• "Teneirs House," p. 319
• "At Abingdon 1782," p. 349

The royal coat of arms of the British monarch is imprinted on the volume's front and back covers.

In this book, a traveling New England schoolteacher recorded instructional exercises, instructional explanations, poetry, and biographical information about pupils. The author taught in New Hampshire and present-day Maine. Subjects of instruction include arithmetic, surveying, geometry, nautical navigation, and writing.

A traveling New England schoolteacher recorded instructional exercises, instructional explanations, poetry, and biographical information about pupils in this volume (220 pages, 8" x 12") between 1787 and 1811. The author taught in New Hampshire and present-day Maine and entered personal information about teaching appointments throughout the volume. Individual lessons are dated as early as 1787, and the volume includes several lists of male and female pupils from teaching engagements in various towns, dated as late as 1811. Some lists of students are accompanied by the students' birthdates. Classes convened in schoolhouses, other public structures, and private homes.

Each page has a subject label, and several pages are comprised of miscellaneous questions entitled "A Collection of Questions," occasionally attributed to The London Magazine. Much of the volume pertains to instruction in mathematical subjects such as algebra, geometry, and trigonometry, and it includes diagrams, examples, and practical applications. Lengthy sections are devoted to surveying and nautical navigation (including "plane-sailing"), often with many diagrams. Other sections concern subjects such as writing and history, with examples of proverbs, deeds, marriage licenses, and letters for copying. Some pages have collections of anecdotes, proverbs, and poems, usually pertaining to morality and religion. A number of lengthier poems concern death and weddings, and one is entitled "Rodgers & Victory[:] Tit for tat. Or the Chesapeake paid for in British Blood!!!" Other parts include a cure for jaundice, a "rebus," a table of symbols for astronomical objects, information about "Occult Philosophy or Magic," instructions for gauging a copper kettle and a man of war, and a list of nouns with corresponding verbs and participles. Some of the material is copied from outside sources, such as John Love's Geodesia.

The William Yardley Mathematics and Surveying Exercise Book contains solved geometric, trigonometric, and surveying exercises, including practical problems and illustrated examples that feature drawings of buildings, animals, and landscape elements.

The William Yardley Mathematics and Surveying Exercise Book contains solved geometric, trigonometric, and surveying exercises, including practical problems and illustrated examples that feature drawings of buildings, animals, and landscape elements. Calligraphic lettering appears throughout.

One letter written by Harry [Crockett?] to his mother, Mrs. L. F. Crockett, from Portland, Maine, on October 8, 1903, is laid into the volume. Written on John W. Perkins Company, Wholesale Druggists, illustrated stationery, the letter comments on family matters, business, and deaths of acquaintances, including one gentleman who was killed by an electric car.