Search

Back to top

Search Constraints

Start Over You searched for: Subjects Trigonometry--Study and teaching. Remove constraint Subjects: Trigonometry--Study and teaching.
Number of results to display per page
View results as:

Search Results

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.
Collection

New England Schoolmaster's teaching book, 1787-1811

1 volume

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.

Collection

William Warre notebook, 1803-1804

1 volume

Sir William Warre composed this 70-page volume, which contains military orders, notes on trigonometry, and a translated history of the Battle of Rossbach, while serving with the British Army's 52nd Regiment of Foot in the early 19th century. The military material provides details about the daily life of the regiment, particularly its activities while stationed in winter quarters in southeast England between 1803 and 1804.

Sir William Warre composed this 70-page volume while serving with the British Army's 52nd Regiment of Foot in the early 19th century. The first section is comprised of 30 pages of military orders related to Warre's service with the 52nd Regiment of Foot while the regiment was stationed at the Hythe Barracks in southeast England (December 2, 1803-August 31, 1804). These copied orders specify regulations for maintaining the discipline of the British Army, particularly concerning the regiment's daily routine while stationed in winter quarters, which included inspections, parades, and drilling. He mentioned many of the regiment's officers by name, sometimes adding descriptions of their roles and duties. Copied material consists primarily of specific orders and regulations, such as an "Explanation of Bugle sounds for the use of the 52nd Light Infantry" (March 5, 1804).

Two separate sections begin from the opposite cover, including 7 pages of "Elements of Plain Trigonometry" (1803), mainly listing definitions of trigonometric terms and equivalencies, occasionally accompanied by ink illustrations. The final 33 pages contain an "Account of the Battle of Rossbach Gained By the King of Prussia over the Allied Army under The Prince of Soubise and the Prince of Sachsen Hildburghausen The 5th of Nov. 1757," translated from a text by Georg Friedrich von Tempelhoff. The account covers the armies' movements prior to and during the battle, focusing heavily on tactical discussions.