Kersey, 81, F. The elements of algebra. By John Kersey. London, 1673. Gift of James Logan.

Landen, 262, Q. 2. A discourse concerning the residual analysis; a new branch of the algebraic art. By John Landen. London, 1758.

Lardner, 5933, D. A treatise on arithmetic, theoretical and practical. By the Rev. Dionysius Lardner. London, 1834.

Leslie, 5098, O. The philosophy of arithmetic; exhibiting a progressive view of the theory and practice of calculation. By John Leslie. Edinburgh, 1817.

Lowe, 160, D. A system of arithmetic, accommodated to the various occasions of business. By Solomon Lowe. London, 1749.

Maclaurin, 1081, O. A treatise of algebra; with an appendix, concerning the general properties of geometrical lines. By Colin Maclaurin. 3d edit. London, 1771.

Malcolm, 176, Q. A new system of arithmetic, theoretical and practical. By Alexander Malcolm. London, 1730.

Martin, 368, D. The young student's memorial-book; or pocket-library; containing the rudiments of logarithms, decimals, and algebra. By Benjamin Martin. London, 1736.

Maseres, 86, Q. A dissertation on the use of the negative sign in algebra; with an appendix, containing Mr. Machin's quadrature of the circle. By Francis Maseres. London, 1758.

Mountaine, 2196, Q. The mariner's new calendar, containing the principles of arithmetic, and practical geometry, by Nathaniel Colson, revised by William Mountaine. London, 1764.

Musa, 8706, O. The algebra of Mohammed Ben Musa. Edited and translated by Frederic Rosen. London, 1831.

Newton, 962, O.

Universal arithmetic; or a treatise of arithmetical composition and resolution; with Dr. Halley's method of finding the roots of equations arithmetically. By Sir Isaac Newton. Translated by Mr. Ralphson, and corrected by Mr. Cunn. 2d edit. Lond., 1738. Patterson, 2698, D. A treatise on practical arithmetic; intended for the use of schools. By Robert Patterson. Pittsburgh, 1819. Gift of the

author.

Pestalozzi, 5736, O. 5. A sketch of Pestalozzi's intuitive system of calculation; compiled and translated by an Irish traveller. Dublin, 1815. Gift of

Wm. Duane.

Pike, 1803, O. A new and complete system of arithmetic; composed for the use of the citizens of the United States. By Nicolas Pike. Newburyport, 1788.

dedicated to Edward the sixth. By Gift of Edward J. Coale.

Recorde, 1336, D. System of arithmeticke,
Robert Recorde. London, 1571.
Rowe, 33, 0. An introduction to the doctrine of fluxions. By John Rowe. 2d
edit. London, 1757.

Saunderson, 844, O. The method of fluxions: with a demonstration of Mr.
Coate's forms of fluents; and an explanation of the principal propo-
sitions of Sir Isaac Newton's philosophy. By Nicholas Saunderson.
London, 1756.

Schooten, 1912, O. Francisci à Schooten exercitationvm mathematicarum liber primus; continens propositionum arithmeticarvm centuriam. Lugduni Batavorum, 1657. Gift of Joseph Crukshank.

548, Q. The same. L.

Simpson, 1089, O. The doctrine and application of fluxions. By Thomas Simpson. 2 vols. London, 1750.

Smith, 795, O. 1. A compendious division; containing a variety of contractions of division, both whole numbers and decimals. By T. Smith. London, 1751.

Trail, 2092, O.

Elements of algebra. By Professor Trail of Aberdeen. Edinburgh, 1729. Gift of Edmund Hogan.

Value, 2961, D. Arithmetic, theoretical and practical, wherein the fundamental principles of that science are explained. By Victor Value. Philadelphia, 1823. Gift of the author.

Walker, 4773, O. The philosophy of arithmetic, and the elements of algebra, designed for the use of schools, and in aid of private instruction. By John Walker. Dublin, 1812.

Wallis, 84, F. A treatise of algebra, both historical and practical; with some additional treatises. By John Wallis. London, 1685.

White, 5164, O. 1. A practical system of mental arithmetic; or a new method of making calculations by the action of the mind, illustrated by numerous examples: to which is subjoined, as an appendix, a variety of contracted examples; also, a method of working by logarithms. By John White. Philadelphia, 1818.

5164, O. 2. A key to the appendix in White's mental arithmetic, and the mental arithmetic illustrated by figures; also, a key to White's selfinstructor; with notes. By the same author. Philadelphia, 1818. 5164, O. 3. The self-instructor; or a system of practical arithmetic. By John White. Philadelphia, 1818.

Wingate, 296, O. A plain method for attaining the knowledge and practice of common arithmetic. By Edmund Wingate. 19th edition, with additions and emendations, by James Dodson.

London, 1760.

GEOMETRY, SURVEYING, TRIGONOMETRY.

Archimedes, 531, Q. Archimedis opera, Apollonii Pergæi conicorum libri IV. Theodosii sphærica. Per Is. Barrow. Londini, 1675.

L.

1467, O. 2. Arenarius of Archimedes. Translated from the Greek, with notes and illustrations, by G. Anderson. To which is added, the dissertation of Christopher Clavius on the same subject. Translated from the Latin. London, 1784.

Beddoes, 2187, O.

Observations on the nature of demonstrative evidence; with an explanation of certain difficulties occurring in the elements of geometry; and reflections on language. By Thomas Beddoes, M. D. London, 1793.

Cowley, 2127, Q.

Collins, 629, O. Johannis Collins et aliorum commercium epistolicum de analysi promota. Londini, 1722. Gift of Dr. Benjamin Franklin. An illustration and mensuration of solid geometry; containing forty-two moveable copperplate schemes for forming the various kinds of solids, and their sections. By the late J. L. Cowley. Revised by William Jones. London, 1788.

Davis, 2583, O. Complete treatise of land surveying, by the chain, cross, and

offset staffs only. By William Davis. London, 1798.

Descartes, 554, Q. Geometria à Renato Descartes anno 1637 Gallicè edita; in Latinam linguam à Florimondo de Beaune versa cum illius et Francisci à Schooten notis illustrata. Amstelodami, 1683. L.

Digges, 1989, O. Geometrical practice, diuided into three bookes, longimetra, planimetra, and stereometria. By Leonard Digges. London, 1571. Gift of Joseph Parker Norris.

Emerson, 997, O. The elements of trigonometry; containing the properties, rotations and calculations of sines, tangents, secants, &c. By William Emerson. 2d edit. London, 1764.

Euclid, 1114, F. Euclidis elementorum libri XV.; accessit XVI. de solidorum

regularium, cujus libet intra quod libet comparatione. Tertio editi, auctore Christophoro Clavio. Coloniæ, 1591.

Euclid, 1650, O. The same. Francofurti, 1607.

2219, Q. Euclid's elements of geometry: the first six books; in a compendious form, contracted and demonstrated. By Captain Thomas Whereunto is added the mathematical preface of Mr. John London, 1571.

Rudd.

Dee. 1034, F.

Euclid's elements of geometry, and a treatise of solids, by campane and flusas. Published by John Leeke and George Serle. London, 1661. Gift of J. P. Norris.

1851, Q. Les elemens de la geometrie d'Euclides megarien, traduicts & restitues. Par Dovnot. A Paris, 1610.

630, O. The elements of Euclid; with select theorems out of Archimedes, by Andrew Tacquet. To which are added, practical corollaries, shewing the uses of many of the propositions. By William Whiston. With an appendix of practical geometry. Dublin, 1728. Gift of David Bush.

8337, O. Euclid's elements of geometry, from the translation of Comandine. By Dr. John Keil. Revised by Samuel Cunn. 5th edit. London, 1745.

297, O. Euclid's elements of geometry, from the Latin translation of Comandine. With a treatise of the nature and arithmetic of logarithms; and another, of the elements of trigonometry. By Samuel Cunn. 8th edit. 2 vols. London, 1759.

923, O. The elements of Euclid, explained in a new, but easy, method; with the use of every proposition through all parts of the mathematics. Written in French, by F. Claude Francis Milliet de Chales. 7th edit. 77, Q. The elements of Euclid; containing the first six books, with the eleventh and twelfth. By Robert Simpson. Glasgow, 1756. Gift of the editor.

6866, & 4072, O. The same. Edinburgh, 1767—1793.

8530, O. The elements of Euclid, with select theorems out of Archimedes; by the learned Andrew Tacquet. To which are added, practical corollaries, by William Whiston, M. A. 11th edit. Dublin, 1791.

4704, D. An epitome of geometry, being a compendious collection of Euclid. By William Allingham. London, 1714.

4223, & 8185, O. Elements of geometry; containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids; with elements of plane and spherical trigonometry. By John Playfair. 2d edit. Edinburgh, 1804. Philadelphia, 1806. 5238, D. Euclid's elements, compendiously demonstrated. By Mr.

Isaac Barrow. London, 1660.

Everhard, 385, D. Stereometry; or the art of guaging made easy, by the help of a sliding rule; with an appendix of conie sections. By Thomas Everhard. 11th edition, with an addition of excise tables, &c. London, 1750.

Ewing, 635, D. A synopsis of practical mathematics; containing plane trigonometry; mensuration of heights, &c. By Alexander Ewing. Edinburgh, 1771.

Gibson.

Gibson, 1332, O. A treatise of practical surveying; with plates. By Robert
4th edit. Philadelphia, 1785. Gift of Joseph Crukshank.
A treatise on practical geometry. By the late Dr. David
Translated from the Latin. Edinburgh, 1787.

Gregory, 8154, O.
Gregory.

Gummere, 4466, O.

A treatise on surveying, containing the theory and practice; to which is prefixed, a perspicuous system of plane trigonome

try: the whole clearly demonstrated and illustrated by a large number of appropriate examples. By John Gummere. Philadelphia, 1814. Hamilton, 284, Q. A geometrical treatise of the conic sections. By Hugh Hamilton. London, 1773.

Hopital, l', 175, & 285, Q. An analytic treatise of conic sections. By the marquis De l'Hopital. Translated into English, by E. Stone. London, 1723.

Hutton, 7862, O. A treatise on mensuration, both in theory and practice. 3d edit. By Charles Hutton, LL. D. London, 1802.

Jamieson, 4921, O. A treatise on the construction of maps; in which the principles of the projections of the sphere are demonstrated with an appendix and copious notes. By Alexander Jamieson. London, 1814. Keill, 414, D. The elements of plane and spherical trigonometry; with a short treatise of the nature and arithmetic of logarithms. By John Keill. 3d edition, translated by Samuel Cunn, and corrected by Mr. Fullar. Dublin, 1726.

Lamy, 1105, D. Elemens de geometry. Par M. Lamy. Paris, 1762. Langley, 120, F. Practical geometry; applied to the useful arts of building, gardening, and mensuration. By Batty Langley. 2d edit. London, 1729.

Leslie, 5550, O. Geometrical analysis, and geometry of curved lines. By John Leslie, Esq. Edinburgh, 1821.

Love, 1082, & 8517, O. The art of surveying made easy. By John Love. Ninth edition, corrected and improved, by Samuel Clark. London, 1771. New York, 1796.

Mackenzie, 5326, O. A treatise on marine surveying, in two parts. By Murdoch Mackenzie. Corrected and republished by James Horsburgh. London, 1819.

Overley, 858, O.

The young guager's instructor; being an easy introduction to that art. By Isaac Overley. 2d edit. London, 1752. Ozanam, 524, Q. Traité des lignes du premier genre par M. Ozanam. A Paris, 1687. L.

Payne, 5268, D. An introduction to geometry. By William Payne. London,

1768.

Pardies, 488, D. The elements of geometry. Written in French, by F. Ignat. Gaston Pardies, and translated into English by John Harris. 7th edit. London, 1734.

Petiscus, 1838, Q. Bartholomæi Pitiscii trigonometriæ, sive de dimensione triangulos. Francofurti, 1612.

Playfair, 4223, & 8185, O. Elements of geometry, containing the first six books of Euclid; with a supplement on the quadrature of the circle, and the geometry of the solids. By John Playfair. Philadelphia, 1806.

Proclus, 1479, Q. The philosophical and mathematical commentaries of Proclus on the first book of Euclid's elements; to which are added, a history of the restoration of Platonic theology, by the latter Platonists, and a translation from the Greek of Proclus' theological elements. By Thomas Taylor. London, 1792. Gift of George Vaux, Esq. 1078, Q. The same. P.

Sganzin, 6206, O. An elementary course of civil engineering. Translated from the French of M. I. Sganzin. With notes and applications adapted to the United States. Boston, 1827.

Simpson, 7596, O. Trigonometry, plane and spherical; with the construction and application of logarithms. By Thomas Simpson, F. R. S. London, 1799.

7945, O. The elements of geometry; with their application to the mensuration of solids and superficies, and to the construction of a

great variety of geometrical problems. By Thomas Simpson. 5th edition, revised. London, 1800.

Tacquet, 893, D. Elementa geometriæ planæ ac solidæ, quibus accedunt selecta ex Archimede theoremata. Auctore Andrea Tacquet. Antverpiæ, 1672.

L.

1124, & 5284, D. The same. Amst. 1701. Gift of Edmund Hogan.

Wilson, 547, O. Wilson's surveying improved; or the whole art, both in theory and practice, fully demonstrated. With geodesia accurata; or surveying made easy, by the chain only; and an essay upon solids. By William Hume. 4th edit. London, 1755.

Wright, 1083, & 8412, O. Elements of trigonometry, plane and spherical; with the principles of perspective, and projection of the sphere. By John Wright. Edinburgh, 1772.

7155, O. Library of useful knowledge. Geometry, plane, solid, and spherical. London, 1830.

LOGARITHMS, MATHEMATICAL TABLES, AND INSTRUMENTS. Adams, 2041, & 8087, O. Geometrical and graphical essays, containing a general description of the mathematical instruments used in geometry and surveying, with many new practical problems. By the late George Adams. 4th edit. Corrected and enlarged by William Jones. London, 1791-1813.

Bion, 174, F. The construction and uses of mathematical instruments. Translated from the French of M. Bion. To which are added, the construction and uses of such instruments as are omitted by M. Bion. By Edmund Stone. With plates. 2d edit. London, 1758.

Blagrave, 2005, Q. The mathematical jewel: showing the making and most excellent use of a singular instrument so called; in that it performeth with wonderful dexteritie, whatsoever is to be done, either by quadrant, ship, circle, cylinder, ring, dyal, horoscope, &c. &c. &c. By John Blagrave, of Reading, Gent. With cuts, &c. London, 1584. Mountaine, 7883, O. A description of the lines drawn on Gunter's scale, as improved by Mr. John Robertson, and executed by Messrs. Nairne and Blunt, with their rise and application to practice exemplified, more especially in navigation and astronomy. By William Mountaine. London, 1788.

Robertson, 8063, & 8333, O. 1. A treatise of such mathematical instruments as are usually put into a portable case. By John Robertson. London, 1775.

Taylor, 592, F. Tables of logarithms of all numbers, from 1 to 101000, and of the sines and tangents to every second of the quadrant. By Michael Taylor. With a preface and precepts for the explanation and use of the same, by Nevil Maskelyne. London, 1792.

997, Q. Sexagesimal tables. By Michael Taylor. London, 1780. Gift of Capt. William Vicary.

Wall, 1632, O. 1. Description with instructions for the use of Wall's newly invented surveying instrument, called the trigonometer. Philadelphia, 1788. Gift of Zachariah Poulson.