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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

This atlas compiled by R. A. L. Robinson features small maps of the nations of the world, with descriptions of different societies (education, government, etc.) and comparisons to the United States.

This atlas compiled by R. A. L. Robinson features small maps of the nations of the world, with descriptions of different societies (education, government, etc.) and comparisons to the United States.

The majority of the regions represented in the volume are within Africa, Asia, and Europe. The descriptions of regions and countries include disparaging and condescending language.

This collection contains correspondence and documents related to Reverend Richard Peters (1704-1776) and his nephew, also named Richard Peters (1744-1828), both of Philadelphia. The bulk of the material pertains to their professional and financial affairs.

This collection (11 items) contains correspondence and documents related to Reverend Richard Peters and his nephew, also named Richard Peters, who both lived in Philadelphia in the mid- to late 18th century. The material pertains to Pennsylvania property and Cumberland County boundaries, Arlington sheep, finances, and politics. The collection includes a certified copy of a map of property belonging to Peters in Bucks County, Pennsylvania (copy dated March 17, 1810), an account book kept by the younger Richard Peters from 1785-1789, and a letter that the younger Richard Peters wrote to William Rawle about his uncle's biography (September 22, 1825).

The Rich Patch Iron & Ore Company collection is made up of correspondence, reports, financial records, maps, and other items related to mining operations in Virginia, West Virginia, Ontario, and Minnesota. Many items pertain to the geologic composition of lands in Alleghany County, Virginia, and Raleigh County, West Virginia, particularly with regard to iron and coal.

The Rich Patch Iron & Ore Company collection is made up of correspondence, reports, financial records, maps, and notes related to mining operations in Virginia, West Virginia, Ontario, and Minnesota. The majority of the items are reports addressed to individuals and companies about coal seams and iron mining in Alleghany County, Virginia, and Raleigh County, West Virginia, including geologic and chemical analyses; many concern the Glade Creek coal field in West Virginia. The collection also includes surveyor's map of land in Alleghany County, Virginia (November 14, 1874). A small group of "Daily Reports from Patch Mines" provides information on daily expenses, including the total cost of workers' wages. Other business letters and reports pertain to companies such as the Union Steel Company, and some of the notes contain illustrations of rock strata in coal lands. A smaller group of reports and maps concerns lands near Lake Nipigon in Ontario, Canada, and iron ore mining and shipments around Lake Superior. Another group of documents includes maps, notes, and reports about "Little Mesabi" (or "Mesaba") in Minnesota.

Rosa Boyer, likely a student in Pennsylvania, kept this notebook between 1881 and 1887, in which she copied rhyming maxims and poems, wrote names of friends, produced various lists, and drew a number of pencil sketches.

Rosa Boyer, likely a student from Pennsylvania, kept this notebook between 1881 and 1887, in which she copied rhyming maxims and poems, wrote names of friends, produced various lists, and drew a number of pencil sketches. Boyer drew people, animals, buildings, furniture and household goods, geometric designs, and one small map of South America.

Boyer also recorded the death of James A. Garfield. Several pages may have been used in relation to her education, such notes on the Pennsylvania congressmen and governor, sentence diagrams, a record of the numbers of days attended and missed from school, and a testimonial about her teacher Samuel S. Diehl.

This collection is made up of letters that Lieutenant Russell G. Schlagal wrote to his wife Margery while serving in the United States Army during World War II. Schlagal discussed his experiences in India and on the island of Tinian, and he often illustrated his letters with ink sketches and watercolor paintings.

This collection is made up of letters that Lieutenant Russell G. Schlagal wrote to his wife Margery while serving in the United States Army during World War II. Schlagal discussed his experiences in India and on the island of Tinian, and he often illustrated his letters with ink sketches and watercolor paintings.

Russell G. Schlagal regularly wrote letters home to Margery, who remained in Dayton, Ohio, during the war. He responded to news of family members and acquaintances, and shared his love for Margery. Most letters concern Schlagal's daily experiences with the 28th Air Service Group in India (December 1944-April 1945) and on the island of Tinian in the Northern Mariana Islands (June 1945-March 1946). In India, he occasionally mentioned his encounters with local residents, and he described the wildlife, the scenery, and local customs. He frequently attended USO shows and movies. Schlagal later discussed his life on Tinian, where he remained until the spring of 1946. He continued to attend performances and films, and also participated in underwater sightseeing. After the end of the war, Schlagal wrote about the possibility and timing of his return home.

Schlagal illustrated some of his letters with ink sketches, ink drawings, and watercolor paintings. These depict buildings, objects, and scenery from India and Tinian. Occasionally, he used stationery with pre-printed scenes, and his letter of December 29, 1945, has a manuscript map of Tinian. On February 24, 1946, Schlagal composed a partially pictographic letter about his anticipated return home. He alternated words with pictures of animals, his wife, himself, and the island of Tinian.

This collection is made up of correspondence, financial records, legal documents, and other materials related to Philadelphia merchant and banker Samuel Harvey. The materials pertain to Harvey's personal finances, business matters, his firm Harvey & Worth, the Bank of Germantown, administration of decedents' estates, and real property in Pennsylvania.

This collection is made up of correspondence, financial records, legal documents, and other materials related to Samuel Harvey, a merchant from Philadelphia, Pennsylvania. The materials pertain to Harvey's personal finances, his business affairs, the firm Harvey & Worth, the Bank of Germantown, administration of decedents' estates, and real property in Pennsylvania.

The Samuel Harvey papers include Harvey's incoming correspondence, but are primarily comprised of legal and financial documents related to:

• Decedents' estates (approximately 140 items, 1775-1836)
• Real estate (45 items, 1784-1883)
• Mercantile and personal matters (approximately 561 items, 1796-1888)
• The Bank of Germantown (approximately 570 items, 1813-1865)

The collection includes around 80 incoming letters to Samuel Harvey, largely concerning his business affairs, finances, and management of estates. The remaining items, written and received by a variety of individuals, include letters about religion, family news, and real property, among other subjects.

The materials pertaining to estate administration regard the estates of Mark Freeman (23 items, 1775-1806), George Roberts (26 items, 1800-1803), John Thompson (65 items, 1813-1836), Isaiah Bell (22 items, 1819-1833), and Benjamin Rowland (9 items, 1824-1828). The documents include accounts, indentures, and correspondence regarding the men's finances during their lifetimes and finances connected with their respective estates. The Mark Freeman records contain items related to the firm Forbes & Paton and to William Sitgreaves. The George Roberts records contain items pertaining to William Roberts and to Samuel Harvey, who was at one time an administrator of the estate. The John Thompson materials largely pertain to Samuel Harvey's guardianship over Thompson's minor children, including Mary, Robert, Elizabeth, Matthew, William, and Isabella. Several items are signed by John Thompson's widow, Ann E. Thompson, and reflect payments that she received from Harvey.

Items related to real estate include surveyors' records, deeds, indentures, agreements, accounts, and maps related to land in Philadelphia. Most items dated prior to 1847 pertain directly or indirectly to Samuel Harvey.

The mercantile and personal papers of Samuel Harvey largely consist of accounts and receipts related to Harvey's finances and purchases, the firm Harvey & Worth, the management of estates, the Pennsylvania Seamen's Friend Society, and lawsuits.

The Bank of Germantown papers include reports on the bank's vaults, the destruction of banknotes, and the bank's relationships with customers. Many items in the series are personal accounts and receipts concerning Samuel Harvey's purchases of goods and labor.

The collection includes one book: A Century of the National Bank of Germantown (Philadelphia: Innes & Sons, [1914]).

This daybook contains information about Samuel Livingston Mather's financial affairs in Cleveland, Ohio, between July 1843 and June 1848. The accounts pertain to real property in Ohio, mining company stock, banking, and Mather's personal finances.

This daybook (166 pages) contains information about Samuel Livingston Mather's financial affairs in Cleveland, Ohio, between July 1843 and June 1848. The accounts pertain to real property in Ohio, mining company stock, banking, and Mather's personal finances.

The daybook entries are comprised of notes about individual transactions and agreements, and many refer to additional financial records or letters, recorded in other volumes (not present). The volume represents Mather's personal and business interests; several individuals appear frequently throughout the volume, including William N. Sill (later, his estate) and Nathan Starr. Mather often conducted business with residents of New York State. Some entries pertain to real property in northeastern Ohio, and a manuscript map of lots near a street corner, titled "Western Starr," is laid into the volume (pp. 135-136). Other records concern tax payments, the Merchants Bank, and stock in mining companies such as the Isle Royale & Ohio Mining Company.

Correspondence, Revolutionary War military documents, land and financial documents, and maps pertaining to several generations of the interconnected Swearingen and Bedinger families of present-day Virginia, West Virginia, and Kentucky.

The Swearingen-Bedinger papers contain 44 letters; 41 land, legal, and military documents; 126 financial documents and receipts; 5 printed items; 3 genealogical documents; 2 maps; and 7 miscellaneous document wrappers. The materials span 1759-1941, with the bulk concentrated around 1770-1795.

The Correspondence series spans 1759-1793 and contains letters to and from many members of the Swearingen and Bedinger families. Several of the earliest items are incoming to Van Swearingen (1719-1788) and concern financial matters, including the collection of debts and rents. During the Revolutionary War, many of the letters pertain to war efforts and the military service of several family members their friends. On February 18, 1779, Captain Abraham Shepherd of the Virginia Rifles wrote to Lieutenant Henry Bedinger, Jr., from Camp Middlebrook, New Jersey, attempting to settle accounts between them, describing his efforts to get the imprisoned Bedinger exchanged, and giving news about their friends and families. In a letter written from "Long Island Graves End" shortly thereafter, Bedinger informed his mother, "the prospect of an exchange of Prisoners taking place, appears much nearer and favourable than formerly." In the same letter, he also noted a consequence of his time as prisoner of war: "I am much hardened and Can undergo almost Anything" (March 29, 1779). Another highlight is a letter from the Marquis de Lafayette to Henry Bedinger, Jr., whom Lafayette addressed as the "County Lieutenant of Berkley." In the item, dated June 9, 1781, Lafayette noted, "I am on my way towards the Enemy and request the Riflemen of your County, armed with their own Rifles, and so many of them mounted…as possible may join me with all possible expedition." Days before the beginning of the Siege of Yorktown, a letter from Deputy Quartermaster Thomas Magill to Colonel Van Swearingen of the Berkeley County Militia relayed orders to impress 12 wagons and their gear for the Virginia forces (September 22, 1781).

Many letters in the collection, including several from prominent figures, address financial and land dealings. George Washington's brother, John Augustine Washington, wrote to Thomas Rutherford concerning an estate and the division of lands among living family members (September 14, 1786). Also included is a letter to unknown recipient from Stevens Thomson Mason, apologizing for being unable to find particular legal documents among his late father's papers (August 10, 1792). Other correspondence items shed light on the purchase of grain, spirits, livestock, and other items.

The series also contains several letters that refer to relations between Native Americans and white settlers. On November 9, 1785, Van Swearingen wrote to a friend, conveying news that 14 out of 17 of the "western Indian Nations," had refused to sell their land or agree to a treaty on any terms. He also commented, " the indians make two much of a practiss of murdering & robing of our defenceless fruntiers." In other letters, he discussed skirmishes between settlers and the Shawnee and Wabash (March 17, 1786) and further complained about Native Americans' refusal to give up their lands to the U.S. Congress (December 16, 1787).

The Land, Legal, and Military Documents series contains 41 items spanning 1759-1794. It consists mainly of land indentures pertaining to the Swearingen and Bedinger families and their land holdings in present-day West Virginia. Also included are several legal documents concerning slaves owned by the Swearingen family, and documents relating to the survey of land by Josiah Swearingen. A few items in the series concern the Revolutionary War. These include two oaths of allegiance to the patriot cause taken by Thomas Swearingen (September 1777; November 18, 1777) and a register of recruits enlisted by Capt. Henry Bedinger, Jr. (1782). The latter document gives a physical description of each recruit, as well as their counties and countries of birth, and dates and terms of enlistment. An additional undated oversize item is a list of 150 Revolutionary War soldiers, drafts, and substitutes serving in companies commanded by captains Anderson, Rankins, Sackson, Worthington, Omtross, McIntire, Campbell, and Nobles.

The Financial Documents series contains items spanning 1759-1795. The vast majority of items are receipts recording monetary transactions involving Van Swearingen, Josiah Swearingen, and Hezekiah Swearingen. They include papers related to the disbursement of several Swearingen estates, as well as records of purchases and sales.

The Printed Documents series contains five items: four newspaper clippings related to the family and a typed poem addressed to H.B. Swearingen and postmarked 1941. The poem, which is unattributed, harshly criticizes Franklin D. Roosevelt's actions as president and compares him to the devil.

• Map of "St. Clairs battle ground" at St. Clair's Defeat, November 4, 1791, shows various battalions, including the one led by George Michael Bedinger, near present-day Fort Recovery in Ohio. Bedinger himself drew the manuscript map.
• [Survey of Lands in Pickaway County, Ohio] was drawn ca. 1820 and shows land boundaries in Pickaway County.

The Genealogical Documents series contains three undated documents pertaining to family history, which appear to have been compiled in the 19th century. The materials record birth, marriage, and death dates for members of the Swearingen, Bedinger, Slagle, and Strode families. Also included is a small amount of information on the areas in which various family members lived and the locations of several of their graves.

The Miscellaneous series contains seven wrappers for documents, which could not be positively matched to specific materials.

The T. C. Connor journal contains daily entries about Connor's activities in New York and in Newark, New Jersey; political commentary; and an account of Connor's voyage to Cartagena, Colombia, from November 1825-July 1826. While at sea, he composed poetry about homesickness and natural phenomena.

The T. C. Connor journal (8" x 12.5") contains daily entries about Connor's activities in New York and in Newark, New Jersey; political commentary; and an account of Connor's voyage to Cartagena, Colombia, from October 1825-July 1826.

The cover reads "Connor's Journal," and a newspaper clipping about "Flags of the South American States" is attached to the volume's inside front cover. Connor began writing in the book on January 1, 1825, while in New York City. He reported the weather conditions, wind direction and, occasionally, his activities, which included frequent visits to friends and to the Colombian consul in the United States. He mentioned his work drawing up bills of lading for the schooner Tobacco Plant and joined the ship's crew for ceremonies celebrating its maiden voyage (January 5, 1825). Throughout early 1825, Connor traveled regularly between New York and "New Ark," and some of his entries from the period have lengthy writings about political and religious topics, such as Christian Universalism (January 23, 1825); St. Patrick's Day, Irish nationalism, and other contemporary independence movements (March 17, 1825); South American politics (June 2, 1825); relationships between European countries and the Americas (June 2, 1825); and the Greek War of Independence (June 5, 1825). Other topics include the 1825 presidential vote in the House of Representatives (February 15, 1825) and George Washington (July 4, 1825). Some references to Connor's acquaintances are made in a pictographic code.

Though Connor lost the journal during a visit to New York in October 1825, he later recovered the book, in which he described his voyage to Cartagena, Colombia, on the Tampico between November 21, 1825, and July 8, 1826. After leaving New York, he made daily notes about the weather conditions and waves and recorded the ship's position. While traveling, he composed 26 poems, usually pertaining to being away from home or marine life. The Tampico arrived at Cartagena on December 7, 1825, and Connor temporarily stopped keeping his journal between December 12, 1825, when he described the city, and June 18, 1826, when the Tampico embarked for the United States. His entry of June 27, 1826, has a map of the area around Acklins, in the Bahamas. After arriving at Staten Island on July 8, 1826, Connor wrote far less frequently. He mentioned trips to Cartagena, northern New York, and Niagara falls. The final entry is his announcement of the birth of Catherine Maria Connor on February 12, 1833.

• Colored pencil drawing of a "Colombian officer on the return from Peru 1820"
• Ink drawing of a "Colimbian Soldier from Peru" [sic]
• Ink portrait of "Capt. Wilkinson, of the Venezuela's" [sic]