istic function; (from the Dublin Review for October.) 8° Dublin, 1833. HAMILTON (WILLIAM R.). On differences and differentials of functions of zero; (from the seventeenth vol. of the Transactions of the Royal Irish Academy.) 4° Dublin, 1834.

On the error of a received principle of analysis, respecting functions which vanish with their variables; published in the 16th vol. of the Transactions of the Royal Irish Academy. 4° Dublin, 1830.

Theory of conjugate functions or algebraic couples. 4° Dublin, 1835. HANOVIUS (MICHAEL CHRISTOPH.). Impossibilitas quadraturæ circuli a priori adserta. 4° Gedani, [1741.] HANTSCHL (JOSEPH). Logarithmisch-trigonometrisches Handbuch, welches die gemeinen Logarithmen der naturlichen Zahlen von 1000 bis 10,000, so wie auch die Logarithmen der trigonometrischen Functionen durch den ganzen Quadranten von 10 zu 10 Secunden, auf 6 Decimalstellen und endlich noch viele andere, zum Gebrauche der mathematick engerichtete Tafeln und Formeln enthält. 4o Wien, 1827.

HARDY (CLAUDE). See Anonymous. Examen de la duplication du cube. 4° 1630.

See Euclides. Data. 4° 1625.

HAROS (-). See Delagrive (J.). Manuel de trigonométrie. 8° 1806. HARRIOTUS (THOMAS). Artis analyticæ praxis ad æquationes algebraicas resolvendas, tractatus. fol. Londini, 1631.

HARRIS (JOHN). A new short treatise of algebra, with the geometrical construction of equations as far as the fourth power or dimension, together with a specimen of the nature and algorithm of fluxions. 8° London, 1714.

HARSDÖRFFERN (GEORGE PHILIP). Delitiæ......mathematicæ, &c. See Harsdörffern (G. P.). Delitiæ philosophicæ, &c. 4° 1653. (Miscellaneous.)

HARTIG (GEORGE LUDWIG). Kubik-Tabellen für geschnittene, beschlegene und runde hölzer, nebst Geld-Tabellen nach Thalern und Gulden berechnet und Potenz-Tabellen zun Erleichterung der Zinsberechnung. 8° Berlin & Stettin, 1829.

HASSLER (FERD. ROD.). Comparison of weights and measures of length and capacity, reported to the Senate of the United States. 8° Washington, 1832.

Elements of analytic trigonometry, plane and spherical. 8° New York, 1826.

1828.

Elements of geometry of planes and solids. 8° Richmond [ U. S.],

Papers on various subjects connected with the survey of the coast of the United States; extracted from the American Transactions, vol. 11, new series. 4o Philadelphia, 1824.

-Logarithmic and trigonometric tables to seven places of decimals. 12° New York, 1830.

Logarithmische und trigonometrische Tafeln, zu sieben Dezimal Stellen. 12° New York, 1830.

Tablas logaritmicas y trigonometricas para las sietes decimales. 8° Nueva-York, 1830.

Tables logarithmiques et trigonométriques à sept decimales. 12° Nouvelle-York, 1830.

- Tabula logarithmicæ et trigonometricæ notis septem decimalibus expressæ. 12° Novi-Eboraci, 1830.

HAUGHTON (ARTHURUS). See Oughtred (W.). Trigonometria. 4o

1657.

HAUY (RÉNÉ-JUST). See Anonymous. Instruction sur les mesures déduites de la grandeur de la terre. 8° 1794.

HEBERDEN (WILLIAM). See Collections. Collection (a) of the yearly bills of mortality. 4° 1759. (Miscellaneous.)

HEDENIUS (PETRUS). Dissertatio gradualis de usu geometriæ in trigonometria sphærica; præside F. Mallet. 4° Upsalia, [1779.] HEDRÆUS (BENEDICTUS). Nova ac accurata astrolabii geometrici structura nec non quadrantis astronomici azimuthalis, unâ cum utriusque usu; [and tables.] 12° Lugduni Batavorum, 1643.

HEILBRONNER (Jo. CHRISTOPH.). Historia matheseos universæ a mundo condito ad sec. p. C. n. XVI; accedit recensio elementorum, compendiorum et operum mathematicorum, atque historia arithmetices ad nostra tempora. 4° Lipsia, 1742.

HELLINS (JOHN). Mathematical essays on several subjects; containing new improvements and discoveries in the mathematics. 4° London, 1788.

HELSINGIUS (GUSTAVUS). Exercitium academicum historiam literariam algebræ sistens; præside S. Klingerstierna. 4o Upsaliæ, [1737.] HENDRICKSZON (CLAES). Den Amsterdamschen Beluchelijcken Geometrischen Brit-maker Cornelis van Leeuwen. 4° Amstelredam, 1663.* HENNERT (JOH. FRED.). Dissertations...mathématiques. See Hennert (J. F.). Dissertations physiques, &c. 8° 1778. (Miscellaneous.)

Cursus mathematici; Elementorum matheseos puræ arithmeticam, geometriam et utramque trigonometriam, vol. 1m; vol. 2m, analysin finitorum et sectiones conicas; vol. 3m, analysin infinitorum complectens; 3 vols. 8° Trajecti ad Rhenum, 1766–1768.

Cursus matheseos adplicatæ [viz.]; elementa mechanices, quæ staticam, phoronomiam, dynamicam, ac motus mechanicam complectuntur; hydrostaticæ et hydraulices, optices, perspectivæ, catoptrices, dioptrices et phaometriæ; universæ astronomiæ, cui accedunt ars nautica, elementa architecturæ navalis, artis gubernandi naves, pyrotechnicæ et acustices. 6 vols. 8° Trajecti ad Rhenum, 1768–1775. HENRION (D.). Réponse apologétique pour les traducteurs et interprètes des élémens géométriques d'Euclide à un quidam qui, sous le nom de P. le Mardelé, a mis en lumière une pretendue traduction d'iceux élémens. 8° Paris, 1623. HERIGONE (PIERRE). Cursus mathematicus; elementa Euclidis, arithmeticam practicam, computum ecclesiasticam et algebram, constructionem tabularum sinuum et logarithmorum, geometriam practicam, artem muniendi, militiam et mechanicas; sphæræ mundi doctrinam, geographiam et histiodromiam; opticam, catoptricam, dioptricam, perspectivam, sphæricorum trigonometriam, theoricas planetarum, gnomonicam et musicam complectens; Lat. & Fr. 5 vols. 8° Paris, 1634–1637.

Cursus mathematicus. Lat. & Fr. 6 vols. 8° Paris, 1644. HERODIANUS. De numeris. See Theodorus [Gaza]. Introductivæ grammatices. fol. 1495. (Astronomy.)

HERON Alexandrinus. Liber de geodæsia. See Heron Alex. Liber de machinis, &c. 4° 1572. (Mechanics.)

HERSCHEL (Sir J. F. W.). See Lacroix (S. F.). An elementary treatise on the differential and integral calculus. 8° 1816.

* The author is designated as C. H. Gietermaker.

HERSCHEL (Sir J. F. W.). A collection of examples of the applications of the calculus of finite differences. 8° Cambridge, 1820. HESSE (PAUL FRIEDRICH). Neuerfundene mathematische Rechenschule, in welcher eine wahre Cirkelquadratur grundlich bewiesen wird; nebst hinzugefügten Universalregeln und Anmerkungen, auch einer Erklärung der Regula de Tri und des Kettensatzes und einer Nutzanwendung zur Universalmathesis; pt. 1st. 4o Berlin, 1776. HESTERMANN (J. L.). Trigonometriæ sphæricæ leges et formulæ absque omni constructionum adjumento methodo mere analytica demonstratæ. 4° Vindobona, 1820.

HEY (RICHARD). Propositions containing some properties of tangents to circles, and of trapeziums inscribed in circles and non-inscribed; together with propositions on the elliptic representation of circles, upon a plain surface by perspective; (from the Phil. Trans. for 1814, pp. 348-396.) 4° London, 1814.

HIERTA (CAROLUS DIETERICUs). Dissertatio integrationem formulæ a d'Alembertio propositæ sistens; præside F. Mallet. 4° 4o Upsalia, [1786.]

HIGMAN (JOHN PHILIP). See Anonymous. Syllabus (a) of the differential and integral calculus. 8° 1825.

HILARIUS (GEORGIUS). Progymnasmatum mathematicorum enchiridion, continens, primi elementi Euclidei apospasmation Græce et Latine; præcepta sphærica; globi cœlestis et terrestris explicationem et usum ; geographiæ rudimenta; computi ecclesiastici epitome; 2 pts. in 1 vol. 120 Hafnia, 1656.

8°

HIND (JOHN). A digested series of examples in the applications of the principles of the differential calculus; for the use of students. Cambridge, 1832.

The elements of algebra; designed for the use of students. 80 Cambridge, 1830.

The elements of plane and spherical trigonometry; for the use of students. 8° Cambridge, 1828.

- The principles of the differential calculus, with its application to curves and curve surfaces; designed for the use of students. 8° Cambridge, 1831.

HINDENBURG (CARL FRIEDRICH). Über combinatorische Analysis und Derivations-Calcul einige Fragmente. 8° Leipzig, 1803. HIRE (PH. de la). See Lahire (P. de).

HIRSCH (MEIER). Sammlung von Beispielen, &c. See Sachs (S.) Auflösungen, &c. 8° 1829.

Sammlung von Aufgaben aus der Theorie der algebraischen Gleichungen; pt. 1. 8° Berlin, 1809.

Integraltafeln, oder Sammlung von Integralformeln. 4° Berlin,

1810.

Integral tables, or a collection of integral formulæ ; translated from the German. 80 London, 1823. (Two Copies.)

8°

Sammlung von Beispielen, Formeln und Aufgaben aus der Buchstabenrechnung und Algebra. 8° Berlin, 1832.

HOBBES (THOMAS). See Anonymous.

Lux mathematica excussa col

lisionibus Wallisii et Hobbesii. 4° 1672.

De duplicatione cubi et dimensione circuli. See Hobbes (T.). Problemata physica. 12° 1662. (Miscellaneous.)

Examinatio et emendatio mathematicæ hodiernæ, qualis explicatur in libris J. Wallisii. 4° Londini, 1660.

E

HOBBES (THOMAS). Rosetum geometricum; sive propositiones aliquot frustra antehac tentatæ; cum censura brevi doctrinae Wallisianæ de motu; 4 pts. in 1 vol. 40 Londini, 1671.

HOBERT (JEAN-PHILIPPE), et IDELER (L.). Nouvelles tables trigonométriques calculées pour la division décimale du quart de cercle. 8o Berlin, 1799.

HODDER (JAMES). Decimal arithmetick; also tables of interest upon interest and of rebate. 12° London, 1668.

HODGSON (JAMES). A system of the mathematics; containing the Euclidean geometry, trigonometry, the projection of the sphere, astronomy, the use of the globes and navigation; the manner of computing the appulses of the Moon; new solar tables; the construction of the meridional parts, logarithms, sines, tangents and secants, with an account of cycles, periods, epochs, parts, kalendars, &c.; also a table of meridional parts for every degree and minute of latitude to the 10,000th place in decimals, together with a table of the latitudes and longitudes of places; 2 vols. 4° London, 1723.

The doctrine of fluxions founded on Sir I. Newton's method. 4o London, 1736.

HOËNE WRONSKI (-). See Wronski (- H. de).

HOLDRED (THEOPHILUS). A new method of solving equations by which the true value of the unknown quantity is found without previous reduction; with a supplement containing two other methods of solving equations derived from the same principle. 4° London, 1820. (Two copies.)

HOLMES (JOHN). A short narrative of the genius, life and works of J. Smeaton. 12° London, 1793.

HOOD (THOMAS). The making and use of the geometricall instrument called a sector, made by Charles Whitwell. 4° London, [1598.] HÔPITAL (GUILL. FRAN. ANT. de l'). See Hospital (G. F. A. de l'). HOPPUS (È.). Tables for measuring; or practical measuring made easy by a new set of tables. 12° London, 1823.

HOPTON (ARTHUR). Baculum geodeticum, sive viaticum; or the geodeticall staff. 4° London, 1610.

Speculum topographicum; or the topographicall glasse; containing the use of the topographicall glasse; theodelitus; plaine table and circumferentor; with many rules of geometry, astronomy, topography, perspective and hydrography. 4° London, 1611.

HÖRCHER (PHILIPPUS). Libri tres; in quibus constructio circini pro-
portionum edocetur, utilitas illustratur. 4° Moguntiæ, 1605.
HORNER (FRANCIS). Memoir of the life of Euler. See Euler (L.).
Elements of algebra, &c. 8° 1828.
HORREBOWIUS (PETRUS). Elementa matheseos.

See Horrebowius (P.). Operum mathematico-physicorum tom. 1. 4° 1740. (Astronomy.) HORSLEY (SAMUEL), Episcopus Asaphensis, postea Rophensis. Sphæricorum liber singularis. See Euclides. Datorum liber cum additamento. 8o 1803.

See Euclides. Elementorum libri XII priores. 8o 1802. Apollonii Pergæi inclinationum libri duo. 4° Oxonii, 1770. Elementary treatises on the fundamental principles of practical mathematics for the use of students. 8° Oxford, 1801.

HORTENSIUS (MARTINUS). Problematum geodæticorum et sphæricorum tractatus. See Snellius a Royen (W.). Doctrinæ triangulorum libri quatuor. 8°

1627.

HOSPITAL (GUILLAUME-FRANÇOIS-ANTOINE de l'.) Analyse des infiniment petits, pour l'intelligence des lignes courbes. 4° Paris, 1716. (Two copies.)

Traité analytique des sections coniques et de leur usage pour la résolution des équations. 4° Paris, 1776.

HOURCASTREME (P.).

&c. 8° 1791.

See Anonymous. Dissertation sur les causcs,

HUBERUS (DANIEL). Nova theoria de parallelarum rectarum proprietatibus. 8° Basilea, 1823.

HUDDART (JOSEPH). Eau Brink New River, or Cut: Deed poll stating the opinion (...in the nature of an award) of J. H. in pursuance of the reference made to him. 4° London, 1804. HUGENIUS (CHRISTIANUS). Demonstratio theorematum Hugenianorum circa logisticam, seu logarithmicam curvam. See Hugenius (C.). Opera reliqua. 4° 1728. (Miscellaneous.)

See Schooten (F.). Exerci

Tractatus de ratiociniis in aleæ ludo. tationum mathematicarum libri quinque. 4o 1657. HUILIER (SIMON ľ). See Lhuilier (S.).

HULBE (ADAM EHREGOTT LEBERECHT). Analytische Entdeckungen in der Verwandlungs und Auflösungs-Kunst der höhern Gleichungen. 8° Berlin und Stralsund, 1794.

HUME (JACQUES). Algébre de Viete d'une méthode nouvelle, claire et facile. 8° Paris, 1636.

Traité de la trigonométrie pour résoudre tous triangles rectiligues et sphériques; avec les démonstrations des deux célèbres propositions du Baron de Merchiston non encore démonstrées. 8° Paris, 1636. HUNTINGTONUS (ROBERTUS), Episc. Rapotensis. Epistolæ et veterum mathematicorum, Græcorum, Latinorum et Arabum synopsis; collectore E. Bernardo; præmittuntur D. Huntingtoni et D. Bernardi vitæ, scriptore T. Smithio. 8° London, 1704.

HUTTON (CHARLES). A treatise on mensuration, both in theory and practice. 4° Newcastle-upon-Tyne, 1770.

A course of mathematics composed for the use of the R.Academy, with corrections and improvements by O. Gregory; 3 vols. 8° London, 1827.

Elements of conic sections, with select exercises in various branches of mathematics and philosophy, for the use of the R. Military Academy at Woolwich. 8° London, 1787.

Mathematical tables;......containing logarithms; also sines, tangents, secants and versed sines both natural and logarithmic; to which is prefixed a history of the discoveries and writings relating to those subjects. 8° London, 1785.

Tables of the products and powers of numbers; namely, 1st, the products of all numbers to 1000 by 100; 2nd, the square of all numbers to 25,400; 3rd, the cubes of all numbers to 10,000. The first ten powers of all numbers to 100; tables for reducing money, weights, and measures from one denomination to another. fol. London, 1781.

Tracts, mathematical (on infinite series, &c.) and philosophical (new experiments on artillery); vol. 1. 4° London, 1786.*

Tracts on mathematical and philosophical subjects, comprising, among numerous articles, the theory of bridges; also the results of experiments on the force of gunpowder, with application to the modern practice of artillery; 3 vols. 80 London, 1812.

* It seems that this edition was discontinued.