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11 pages of notes on integrals, November 1935

 File
Identifier: Coll-37/B.28
Scope and Contents

11 pages of notes on integrals. These were sent with a covering note November 1935 by G. Cook, and originally tucked into notebook Coll-37/B.27.

Dates: November 1935

A Prognostication concerning the Frost by Monsieur Cassini the French King's Astrologer, 1697

 Item
Identifier: Coll-33/Folio B [30]
Scope and Contents

A scurrilous pamphlet probably directed, according to Gregory's marginalia, at Flamsteed, by one "Charles Bernard Chirurgein".

Dates: 1697

A Theoreme Concerning Dice, s.d.

 Item
Identifier: Coll-33/Folio C [49]
Scope and Contents

A jotting on game theory.

Dates: s.d.

A treatise of chance written by Dr Arbuthnot anno 1694, 1694

 Item
Identifier: Coll-33/Folio B [19]
Scope and Contents

An English piece on probability, probably in John Arbuthnot's hand, with an earlier one-page transcription of a 1690 Acta Eruditorum piece in Gregory's hand.

Dates: 1694

Ad Cartesis Specia ... sectionibus Coni, 1680

 Item
Identifier: Coll-33/Folio C [134]
Scope and Contents

Notes on Cartesian cone sections, written out during Gregory's stay in Rotterdam.

The item going before, also labelled 134, may actually be 133 (or part of it), which was supposed to have been a treatment by James Gregory on hyperbolae, nautical spirals, and other things. It treats of a hyperbola, at least. Its hand is not David's, but neither is it the hand of item C 136, in James' familiar hand.

Dates: 1680

Ad Jo: De Witt Elem: Curvarum, 1680

 Item
Identifier: Coll-33/Folio C [88]
Scope and Contents

A demonstratio on one of de Witt's notes on Schooten's 1659 Latin edition of Descartes' Geometria. Unrelated jottings on reverse are in a hand other than Gregory's.

Dates: 1680

Ad Pag. 23. Geom: Cartes: Notula, 1680

 Item
Identifier: Coll-33/Folio C [99]
Scope and Contents

A difficulty in Descartes, probably written up in Rotterdam.

Dates: 1680

Ad pag: 221. Newtoni Nota, May 1694

 Item
Identifier: Coll-33/Folio C [46]
Scope and Contents

Gregory's attempt to work out corollary 2 to Newton's proposition 91, from book 1 of the Principia, which compared the ratio of the attraction of a sphere to that of a spheroid, using the integration of the square root of a trinomial.

Dates: May 1694

Ad Philosophiam Neutoni Nota, 15 September 1693

 Item
Identifier: Coll-33/Folio C [181]
Scope and Contents

For Gregory's Nota to Newton's Principia. One of several attempts (see C46, C60, and C63) to understand Newton's corollary 2 to proposition 91, book 1, which discovered the ratio of the attraction of a shpere to that of a spheroid, and involved the integration of the square root of a trinomial.

Dates: 15 September 1693

Adnotata et contenta quaedam in Actis Lipsicis, 1692

 Item
Identifier: Coll-33/Folio C [35]
Scope and Contents

A record of interesting articles in the Acta between about 1681 and 1692.

Dates: 1692

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Names
Gregory, David, 1659-1708 (professor of mathematics, University of Edinburgh, and Savilian Professor of Astronomy, University of Oxford) 145
Newton, Sir Isaac, 1642-1727 (mathematician and astronomer) 23
Tchirnhausen, Ehrenfried Walther Von, 1631 ? 1708 (German mathematician) 15
Gregory, James, 1638-1675 (professor of mathematics, University of Edinburgh) 12
Huygens, Christiaan, 1629-1695 (Dutch mathematician) 12
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Pitcairne, Archibald, 1652-1713 (Scottish physician, amateur mathematician and poet) 11
Hudde, Jan, 1628-1704 (Dutch mathematician) 10
Sluse, 1622-1685 (Belgian mathematician) 10
Barrow, Isaac, 1630-1677 (mathematician, classicist, and divine) 9
Craig, John, d. 1731 (Mathematician and prebendary of Salisbury) 9
Duillier, Fatio de, 1664-1753 (Swiss mathematician) 9
Wallis, John, 1616-1703 (professor of geometry, University of Oxford) 9
Descartes, Rene, 1596-1650 (French mathematician) 8
Schooten, Frans van, 1615-1660 (Dutch mathematician) 8
Baillie, Anne, 1809-1847 (Former owner of manuscripts) 7
Baillie, John Baillie, of Leys, 1835-1890 (donor of the Oriental Manuscripts Collection) 7
Baillie, John, of Leys, 1772-1833 (Member of Parliament, and East India Company Official) 7
University of Edinburgh (Scottish University) 7
Appleton, Sir Edward Victor, 1892-1965 (physicist and principal of the University of Edinburgh) 6
Collins, John, 1625-1683 (mathematician) 6
Flamsteed, John (first Astronomer Royal) 5
Halley, Sir Edmund, 1656-1742 (astronomer) 5
Barrow, George, 1853-1932 (geologist) 4
Euclid of Alexandria, 325-265 BC (Egyptian mathematician) 4
Mercator, Nicholas, ?1620-1687 (called Kauffmann) 4
Thomson, Godfrey Hilton, Sir, 1881-1955 (psychologist and Bell Professor of Education, University of Edinburgh) 4
Torricelli, Evangelista, 1608-1647 (Italian mathematician) 4
Bernoulli, Jean, 1667-1748 (Swiss mathematician) 3
Boyle, Robert, 1627-1691 (natural philosopher and chemist) 3
Cassini, Jean Dominique, 1625-1712 (Italian astronomer) 3
Diophantus of Alexandria, c200-c284 (Greek mathematician) 3
Fenton, James, fl1689 (Scottish mathematician) 3
Gregorie, David, 1625-1720 (or David of Kinnairdie: father of David Gregory the mathematician) 3
Gregory, James, 1666-1742 (professor of mathematics, University of Edinburgh, brother of David Gregory) 3
Kepler, Johannes, 1571-1630 (German mathematician and astronomer) 3
Ptolemy, Claudius, c85 -165 (Egyptian astronomer) 3
Serenus, d c360 (Greek mathematician) 3
Snell, Willebrord, 1591-1626 (called Snellius) 3
Whiston, William, 1667-1752 (divine and natural philosopher) 3
Young, John, fl1683 (Mathematics chair in Edinburgh University) 3
Baker, Thomas, 1625?-1689 (ecclesiastic and amateur mathematician) 2
Campbell, Colin, 1644-1726 (theologian and minister of Ardchattan, Argyllshire; correspondent with Newton) 2
Copernicus, Nicolaus, 1473-1543 (Polish astronomer) 2
De Witt, Jan, 1625-1672 (Dutch statesman and mathematician) 2
Hooke, Robert, (1635-1703) (Experimental physicist and professor of geometry, University of Oxford) 2
Hôpital, Guillaume De l', 1661-1704 (French mathematician) 2
Ibn al-Haytham, Alhazen, 965-1039 (Arab mathematician and physicist) 2
Josephus, Flavius, 37-100? (Jewish historian in the house of Vespasian) 2
Keill, John, 1671-1721 (mathematician and astronomer) 2
LHopital, Guillaume, 1661-1704 (French mathematician) 2
Leibniz, Gottfried Willhelm, 1646-1716 (German mathematician and philosopher) 2
Mackworth, Sir Humphry, 1657-1727 (politician and mining capitalist) 2
Mercator, Gerardus, 1512-1594 (mathematician and cartographer) 2
Pythagoras of Samos, c569 BC-c475 BC (Greek mathematician) 2
Robison, John, 1739-1805 (professor of natural philosophy, University of Edinburgh) 2
Royal Society (c1645-:) (scientific society) 2
Viviani, Vincenzo, 1622-1703 (Florentine mathematician) 2
Volder, Burchard De, 1643-1709 (Dutch mathematician) 2
Aldrich, Henry, fl1995 (Dean of Christ Church, Oxford) 1
American Institute of Mining Engineers (1871-:) 1
Ames, Mary L, fl1904 (daughter of J Peter Lesley and cousin of Benjamin Smith Lyman) 1
Ami, Henry Marc, 1858-1931 (Canadian scientist) 1
Anderson, Adam, 1797-1853 (Scottish judge and Senator of the College of Justice) 1
Anderson, James, 1758-1833 (Persian Interpretor, East India Company) 1
Anderson, Robert, fl1668-1696 (mathematician and silk-weaver) 1
Apollonius of Perga, 262-190 BC (Greek mathematician) 1
Arbuthnot, John, 1667-1735 (Scottish physician and satirist) 1
Archimedes, of Syracuse, 287-212 BC (Sicillian mathematician) 1
Bascom, Florence, 1862-1945 (American geologist) 1
Bayle, Pierre, 1647-1706 (French Philosopher) 1
Becker, George Ferdinand, 1847-1919 (American geologist) 1
Bell, Robert, 1841-1917 (Director of the Geological Survey of Canada) 1
Bentley, Richard, 1662-1742 (clergyman, scholar and critic) 1
Bernard, Edward, 1638-1696 (professor of astronomy, University of Oxford) 1
Bernoulli, James, 1654-1705 (Swiss mathematician) 1
Brook, Nathanael, fl1673 (English bookseller) 1
Brown, James, fl1785 (Glasgow distiller) 1
Busby, Richard, 1606-1695 (headmaster of Westminster School, London) 1
Carus, Titus Lucretius, c98 BC-55 BC (poet and philosopher) 1
Cheyne, George, 1671-1743 (Scottish physician and amateur mathematician) 1
Chrystal, George, 1851-1911 (professor of mathematics, University of Edinburgh) 1
Clark, William Bullock, 1860-1917 (American geologist) 1
Clarke, John Mason, 1857-1925 (American geologist) 1
Collins, John, 1625-1683, mathematician 1
Craig (or Craige), John, d. 1731 (Mathematician and prebendary of Salisbury) 1
Dary, Michael, fl1669 (Mathematician) 1
Davis, William Morris, 1850-1934 (American geographer and geologist) 1
Demosthenes, 383-322 BC (Greek orator) 1
Edinburgh Provincial Training Centre (1907-1959) 1
Edward the Confessor, King of England, 1003-1066 1
Falconer, John, fl1690 (science graduate from the University of Edinburgh, student of David Gregory) 1
Fermat, Pierre de, 17 August 1601-12 January 1665 (mathematician) 1
Galleys, Abbe, fl1707 (French mathematician) 1
Geikie, Archibald, Sir, 28 December 1835 – 10 November 1924 (Professor of Geology, University of Edinburgh) 1
Geological Society of London (1807-:) 1
Geological Survey of Canada (1842-:) 1
Gilbert, Grove Karl, 1843-1918 (American geologist) 1
Gray, fl1692 (London book collector) 1
Gronovius, Johannes Fredericus, 1611-1671 (German-Dutch classical scholar and critic) 1
Hague, Arnold, 1840-1917 (American geologist) 1
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