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

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.

This cypher book, by Theophilus Norris of Epping, New Hampshire, contains mathematical rules, examples, and exercises. Entries also relate to practical uses, including surveying, weights and measures, and compound interest. Several handwriting exercises are also present, as well as brief genealogical notes relating to Elizabeth Brier and Elizabeth Norris.

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.

Leo Engleman worked trigonometric and surveying exercises in this cypher book from 1847 to 1848, possibly while a thirteen-year-old boy living in Pennsylvania. Many of the exercises include mathematical drawings and illustrations, and surveying examples often include additional features done in pencil and watercolor.

Leo Engleman worked trigonometric and surveying exercises in this cypher book from 1847 to 1848, possibly while a thirteen-year-old boy living in Pennsylvania. Many of the exercises include mathematical drawings and illustrations, and surveying examples often include additional features done in pencil and watercolor, such as trees, rivers, buildings, and lighthouses. A number of headings also feature watercolor embellishments and abstract or geometric designs, and the final pages of the volume include full-page watercolor designs of geometric shapes and a rose bush.

John Morison of Windham, New Hampshire, compiled this mathematical cypher book, containing extensive notes and practice problems on sailing, surveying, trigonometry, accounting, weights and measures, arithmetic, algebra, fractions, decimals, geometry, geodesia, and navigation. Many of the signatures are of different-size paper and stitched together using different thread. The final signature is upside down from the rest of the volume and contains penmanship practice, poetry, a song, scattered family names, miscellaneous figures, and drawings (including a windmill).

John Morison of Windham, New Hampshire, compiled this mathematical cypher book, containing extensive notes and practice problems on sailing, surveying, trigonometry, accounting, weights and measures, arithmetic, algebra, fractions, decimals, geometry, geodesia, and navigation. Many of the signatures are of different-size paper and stitched together using different thread. The final signature is upside down from the rest of the volume and contains penmanship practice, poetry, a song, scattered family names, miscellaneous figures, and drawings (including a windmill).

• Cases [these pages are severely damaged along the foredge with loss to significant text]
• Division of Coin, Weights &c [these pages are severely damaged along the foredge with significant loss of text]
• Reduction descending & ascending [application of multiplication and division]
• Tare & Trett &c [weights and measures between vendor and customer]
• The Single Rule of Three Direct
• Rule of Three Reverse
• The Double Rule of Three Direct
• The Double Rule of Three Reverse
• Compound Proportion
• Simple Interest
• Compound Company
• Factor's Allowance
• Interest for Months ; For Weeks ; Interest for Days
• Rebate or Discount
• Equation of Payment
• Barter
• Profit & Loss
• Simple Company
• Exchange [currency exchange]
• Comparison Weights & Measures
• Alligation Alternate
• Double Position, or Negative Arithmetic
• Progression Arithmetical
• Geometrical Progression
• Permutation, or Changing the order of Things
• Vulgar Fractions & first of Reduction
• Addition of Vulgar
• Subtraction of Vulgar
• Multiplication of Vulgar Fractions
• Division of Vulgar Fractions
• Addition of Decimals ; Subtraction of Decimals
• Multiplication of Decimals ; Division of Decimals
• Reduction of Decimals
• Simple Rule of Three Direct in Decimals
• Practical Geometry
• Plain Trigonometry Rectangular
• Extraction of the Square Root &c &c
• Extraction of the Cube Root
• Surveying &c. &c. &c.
• Mensuration Surveying &c.
• [Draft of a legal document related land/labor]
• Algebra
• Numerical Algebra
• Evolution of Whole Quantities
• Fractions
• Evolution of Fractional Quantities
• Addition & Subtraction of Surd Quantities ; Multiplication of Surds ; Involution of Surds
• Reduction by Involution
• Of Analyses, or the Method of Resolving Problems
• Practical Geometry
• Plain Trigonometry Rectangular
• Plain Trigonometry Obliquangular
• Plain Sailing the First Part
• Plain Sailing the Second Part
• Traverse Sailing
• Oblique Sailing
• Mercator's Sailing
• Middle Latitude Sailing
• Geodesia or Surveying [with a landscape cross section, a sketch of a field, and a sketch of a tower]
• Alimetry & Longimetry [with one sketch of a tower in a field, a sketch of a windmill, large building, and tree]
• Variation of the Compass
• Dialing [with one sketch of a horizontal dial]

• Penmanship practice, repeated copies of: "Know all men by these Presents that I John morison of the Perish of Windam", "ten things A Penman should have Near at Hand" [sadly, the ten things are not listed], and "from thy Desk to keep thy breast from harm upright thy head", and others.
• Multiplication table and many miscellaneous scribbled mathematical notations and problems.
• Some poetry and many partial words, family names, and letter practice.
• "[New?] Song with its own tune Prented 1764" on a relationship separation in which the man was scorned by the woman, but then on her remorse they reunited.

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.