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Collection

Arithmetic Book collection, ca. 1761-1821

9 volumes (0.5 linear feet)

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.

Collection

Hoyt family book, 1762-1882

1 volume

This volume was owned by successive generations of the Hoyt family in Stamford, Connecticut, and Hudson, Michigan, in the 18th and 19th centuries. Its contents include military accounts from St. Johns, Newfoundland; arithmetic problems and solutions; and drawings of animals and natural scenes, including two hunters' encounter with a bear.

This book was owned by successive generations of the Hoyt family in Stamford, Connecticut, and Hudson, Michigan, in the 18th and 19th centuries. The front cover of the hide-bound volume bears the faint remnants of the English royal arms. Writing on the inside of the front cover indicates that the volume was owned by Jonah Hoyt (or Hait) before being presented to his grandson, Fred L. Hoyt, on his 21st birthday. The early pages include 7 pages of accounts for the receipt of military stores and provisions at St. Johns, Newfoundland, between September 1762 and August 1764. The section also contains a birth register regarding the children of Jonah and Anna Polmateer Hoyt.

The bulk of the volume is mathematical problems and solutions, including exercises related to multiplication, division, fractions and decimals, currency reduction, and the rule of three (cross-multiplication). Several measurement conversion tables, brief poems, penmanship exercises, and geometric line drawings are interspersed throughout this portion of the book, which also includes signatures by Jonah Hoyt and his son Lewis. Most of the poems are brief and humorous, with longer poems concerning a visit to London and the virtue of patience. Newspaper clippings regarding the death and funeral of George Washington, the wealth of Cornelius Vanderbilt, presidential election results from 1789 to 1872, and Ralph Waldo Emerson's poem "Boston" are laid and pasted into the volume. A few plants are also laid in, as well as a letter from T. Andrews to Mary Andrews about life in Ypsilanti, Michigan, in February 1837. Decorated cutouts made from colored paper are pasted into the volume.

Emery Hoyt and other family members created many drawings, which appear after the arithmetic problems. Two are colored: a partially colored view of a church resembling a castle and a reproduction of an engraving showing a waterfront scene (the original engraving is laid into the volume). Most of the remaining pictures are pencil drawings and sketches of wild animals, including woodland creatures such as squirrels and deer; farm animals such as horses, cattle, and pigs; and African animals such as elephants, an oryx, and rhinoceroses. Other scenes of note show two hunters during an encounter with a bear, with one of the hunters preparing to hit the bear with the butt of his rifle; a safari hunter beside an elephant; and cavalry officers stabbing and shooting Native Americans. Also included are an outline of the state of Maine and a sketch of a sailing ship.

Collection

John Morison copybook, 1764-1772

1 volume

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).

List of Contents:
  • 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]
Final section (upside down from rest of volume)
  • 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.