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718 PLUVINEL. L'Instrvction dv Roy, en l'exercice de monter a Cheval. Par Messire Anthoine de Plvvinel. . Folio, fine and perfect copy, text in French and German, engraved and printed title, portraits of the author, Roger de Bellegarde, René Menou, two of Louis XIII, and 57 plates of Horsemanship, all by Crispin de Pas; calf

Paris, 1629 Besides the plates belonging to the book, the present copy has two frontispieces from other works and a large engraving by Clouvet after Abr. a Diepenbeke representing a stud. 718 TOUCHSTONE (S. F.) Les Chevaux de Course: Historique des Etalons par-sang anglais et français, avec preface du Duc de Beaufort. Oblong folio, 60 coloured plates of Stallions and woodcuts; hf. bd. morocco, gilt edges Paris, 1889

719 TWEEDIE (Major Gen. W.) The Arabian Horse, his Country and People, 4to., coloured and other illustrations (pub. at £3. 3s), cloth 1894

Ichthyology and Angling

720 BERNERS (Dame Juliana) A Treatyse of Fysshynge wyth an Angle, 4to., facsimile reproduction, with an introduction by Rev. M. G. Watkins, rellum, antique, uncut

1880

721 CATALOGUE of the FISHES in the British Museum, by Albert Günther, COMPLETE in 8 vols., 8vo., cloth, SCARCE 1859-70 721*- the same, SECOND EDITION, by G. A. Boulenger. Vol. I, 8vo., with 15 plates; cloth

1895

722 GUNTHER (A. C. L. G.) Introduction to the Study of Fishes. 8vo., pp. xvi, 720, with over 300 woodcuts; (pub at 248) cloth Edinburgh, 1880 723 HAMILTON (Francis) An Account of the Fishes found in the river Ganges and its branches. The folio Atlas containing 39 plates; russia gilt Edinburgh, 1822 724 THE GENTLEMAN ANGLER, containing Instructions in angling for Salmon, Trout, Pike, Perch, Bream, etc., with the Angler's Song, and the Laws of Angling, 12mo., original binding

Mathematics

1726

725 ABEL (N. H.). Euvres complètes, avec des Notes et Développements, par
B. HOLMBOE. 2 vols., 4to., hf. bd., uncut
Christiania, 1839
726 ALEXANDRI (Joannis) Synopsis Algebraico, . . . in usum Scholæ
Mathematicæ apud Hospitium-Christi Londinense. Svo., calf 1693
727 AMERICAN Journal of MATHEMATICS. Edited by J. J. SYLVESTER,
Simon NEWCOMB, Thomas CRAIG, etc. Vol. II, numbers 3 and 4;
IV, in 4 nos.; V, 3 and 4; VI, 2; IX, 1; X, 1; XIV, 2; XV, 4;
XVI, 1, 2 and 4; XVII, in 4 nos.; XVIII, 1, 2 and 3; XIX, 1, 2 and
3. In all 26 nos., royal 4to., sd., scarce
Baltimore, John Hopkins University, 1878-97
728 ARCHIMIDES Opera non nvlla a Federico Commàndino Vrbinate nvper
in Latinvm conversa, et commentariis illvstrata-Commentarii (Federici
Commandini) in Opera non nvlla Archimedis-2 vols. in 1, sm. folio,
diagrams, olive morocco extra, gilt edges

729

730

Venetiis, apud Paulum Manutium, 1558
Opera, cum Commentario F. Commandini, 2 vols.

Bononiæ, 1566

Venet. apud Paulum Manutium, 1558 APOLLONII PERGEI Conicorum libri IV cum Pappi Alexandrini lemmatibus et commentariis Eutocii Ascalonitæ SERENI libri II unus de Sectione Cylindri, altro de Sectione Coni ib. 1566 4 vols. in 1, sm. folio, fine copies, red morocco extra, gilt edges, from Sir J. Thorold's library

1558-66

OPERA qvæ extant [Gr. et Lat.]. Novis demonstrationibvs commentariisque illvstrata. Per Davidem Rivaltvm a Flvrantia. Folio, many diagrams; old calf binding

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Parisiis, 1615

060

1808 076

731 BAILY (F.) The Doctrine of Interest and Annuities analytically investigated and explained, with Tables. 4to., hf. calf

732 BAKER (T.) The Geometrical Key; or, the Gate of Equations unlock'd.

Sm. 4to., calf

733 BERNOULLI (Johannis)

£

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Opera Omnia . . . 4 vols., 4to., plates; an
Lausanna & Genevæ, 1742

1 10

uncut copy in the original half calf
At the beginning of the second volume is "Nouvelle Theorie de la Manoeuvre des
Vaisseaux."

734 (BERTRAND DE LA COSTE) Le Reueil matin . . pour Reueiller les pretendus
sçavans Matematiciens. . 12mo., portrait, facsimile, and satirical plate
of arms, vellum, very scarce, from the Beckford library Hambourg, 1674
"Ce petit ouvrage rare est une critique de l'Académie des Sciences de Paris et de
celle de Londres . . il y a des parties qui demandent des explications et des connois-
sances en mathématiques qui ne sont pas à la portée de tout le monde."—MS. note.
735 BESSON (Jaques) Le Cosmolabe ou Instrument Universel, concernant
toutes Observations qui se peuvent faire par les Sciences Mathematiques
tant au Ciel, en la Terre comme en la Mer. Sm. 4to., woodcuts, vellum

Paris, 1569 736 BION. The Construction and Principal 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; particularly of those invented or improved by the English. By Edmund Stone. Folio, with 26 plates; calf 1723 737 BIRKBECK (W. Ll.) Solutions to Mathematical Questions in the Ladies' Diary, Gentleman's Diary, Scientific Receptacle, etc. for various years commencing in 1817. Sm. 4to., MS., consisting of 33 ll; hf. bd.

(about 1825) 738 BORGO. Libro de Abacho . . Incomincia la nobile opera de Arithmetica per Messer Piero Borghi da Venetia. Sm. 4to., fine copy in half vellum Venegia, 1550 Libro de Abacho . . Comincia la nobile opera de Arithmetica per Messer Pietro Borghi da Venetia. Sm. 4to., original vellum

739

.

0 10

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1

Venetiis, 1567

1 5

A book of Arithmetic, more especially for commercial purposes, which went through several editions, all of which are scarce.

740 BOSCOVICH (L'Abbé). Nouveaux Ouvrages appartenants principalement à l'Optique, et à l'Astronomie. 5 vols., 4to., old calf gilt

1785 741 BREMIKER. Logarithmorum VI Decimalium Nova Tabula Berolinensis et Numerorum vulgarium ab 1 usque ad 100000 et functionum trigonometricarum ad decades minutorum secondorum auctore Carolo Bremiker. 8vo., cloth Berol. 1852 742 BULLETIN des SCIENCES MATHÉMATIQUES et ASTRONOMIQUES. A complete set from the beginning in 1870 to 1884, inclusive, forming 19 vols., royal 8vo., of which the first fourteen are neatly half bound in eleven, in morocco, cloth sides, uncut, the remainder as issued

The subscription price is 24 francs per year.

1870-84

1

07

5 0

01

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743 BYRNE (O.) New and Improved System of Logarithms, with a Table of
the Logarithms of the natural numbers, also Appendix. Folio, bds. 1838
744 CAGNOLI (A.) Trigonométrie Rectiligne et Sphérique. 4to., with 18 folding
plates; hf. calf
745 CALLET (F.) Tables portatives de Logarithmes, contenant les logarithmes
des nombres, depuis I jusqu'à 108,000. Second edition, considerably
enlarged. 8vo., calf
Paris, 1795
746 CAMBRIDGE Mathematical Examination Papers (Supplement to), part II:
Mixed Mathematics. 8vo., bds.
1833

747

Solutions of the Problems and Riders proposed in the SenateHouse Examination for 1857. By the Moderators and Examiners. 8vo., cloth

748 CAMBRIDGE MATHEMATICAL JOURNAL, edited by D. F. Gregory and R. Leslie Ellis. 4 vols. 8vo., plates; cloth, SCARCE 1837-45

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Vol. I is of the second edition (1846), and contains corrections and alterations by the authors, and a General Index to the 4 volumes.

749

the same. Vol. I, second edition, 8vo., cloth

1846 07

750 CHASLES (M.) Aperçu historique sur l'Origine et le Développment des
Méthodes en Géométrie, suivi d'un Mémoire de Géométrie sur deux
Principes généraux de la Science, la Qualité et l'Homographie. 4to.,
calf gilt
Bruxelles, 1837
751 CIRVELLUS. Cursus quatuor Mathematicaru Artiú Liberatiù: quas
recollegit atque correxit magister Petrus Cirvelus Darocēsis. . . Sm.
folio, diagrams, library stamp on title, vellum s. l. (? Compluti), 1528
Containing valuable treatises on Arithmetic, Geometry, Perspective, and Music.
752 CLAUDEL (J.) Tables. 8vo., half morocco
Paris, 1871
CONTENTS

I. Des Carrés et des Cubes.

II. Des Longueurs des Circonférences et des Surfaces des Cercles.

III. Des Valeurs Naturelles des Expressions Trigonométriques des Angles
successifs de minute en minute.

753 COCKER'S DECIMAL ARITHMETIC, First Edition. Cocker's Decimal
Arithmetick Wherein is shewed the Nature and Use of Decimal Frac-
tions. Whereunto is added His Artificial Arithmetick, shewing the
Genesis or Fabrick of the Logarithmes. Also His Algebraical
Arithmetick.. Composed by Edward Cocker. . Perused, Corrected,
and published by John Hawkins. . 12mo., copper-engraved portrait
(different from that in the vulgar arithmetic), blue morocco extra, gilt
edges
London, Printed by J. Richardson, for Tho. Passinger.

£ 8. d.

28 0

0 14 0

056

M.DC.LXXXV (1685) 10 0 0
This work is much less scarce than the Vulgar Arithmetick of 1678, but is never-
theless very rare when having the portrait.

COLLATION :-Portrait (copper-engraved) with the following lines beneath :--
Cocker, who in fair writing did excell,
And in Arithmetick perform'd as well;
This necessary work took next in hand,
That Englishmen might English understand.
F. H. VAN

HOVE. Sculp.

Title, 1 leaf. Dedication, 1 leaf. To the Reader, etc., followed by verses, catalogues of chapters, and advertisements, 6 leaves. These eight preliminary leaves (including the title, but excluding the portrait) form signature A. The text follows, paged 1-436, which ought to be 448, but is reduced by errors in pagination; i.e. 224 leaves, with signatures B-Ff in eights.

1767

754 COCKER'S ARITHMETICK . . . Perused and Published by John Hawkins . .
The Fifty-sixth Edition, carefully corrected and amended. By George
Fisher... 12mo., with portrait; sheep binding
755 COOKE (Francis) The Principles of Geometrie, Astronomie, and Geographie
.. Gathered out of the Tables of the Astronomicall institutions of
Georgius Henischius. 18mo., with a MS. Index, cloth, RARE

0 10 0

60

0 5

1 0 0

J. Windet, n. d. (circa 1590) 1 16 0 756 COTES. Harmonia Mensurarum, sive Analysis et Synthesis per Rationum et Angulorum Mensuras promote accedunt alia Opuscula Mathematica, per. R. Cotesium. 4to., old calf Cantabrigie, 1722 57 D'ALEMBERT. Œuvres. 5 vols., 8vo., a nice copy in calf Paris, 1821-22 758 DE MOIVKE (Abr.) De Mensura Sortis, seu, de Probibilitate Eventuum in Ludis a Casu fortuito pendentibus, 1711-SIMPSON (T.) The Nature and Laws of Chance, 1740-In 1 vol., small 4to., calf

759 DELAMAIN (Rob.) The making, description, and use of a small portable Instrument.. in forme of a mixt Trapezia thus called a Horizontall Quadrant.. by Delamain Teacher of the Mathematickes. 12mo., engraved frontispiece, plans and curious diagrams, stained, old parchment binding, with strings

London.. R. Hawkins.. Chancery Lane, neere Sarjants Inne 1632 760 DE MORGAN. Elements of Algebra preliminary to the differential Calculus. 8vo., cloth

0 10 0

28

6.6.

1 10 0

761

the same, the second edition, 8vo., cloth

1837 0 2 1837 U 3

762

The Differential and Integral Calculus. 8vo., pp. xx, 785; cloth,

188; or, half blue morocco extra, gilt top, uncut

[1842]

1 0 0

763

Arithmetical Books from the Invention of Printing to the
Present Time, 8vo., cloth

1847 0 5 0

764 DE MORGAN. Treatise on Problems of Maxima and Minima, by RAMCHUNDRA, under the superintendence of A. De Morgan. 8vo., cloth 1859 765 DEPARCIEUX. Nouveaux Traités de Trigonometrie rectiligne et spherique avec un Traité de Gnomonique . . . 4to., 17 plates, and numerous important tables of sines, tangents, logarithms, etc., old calf Paris, 1741 766 DESCARTES. Geometria a Renato Descartes

767

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una cum Notis
F. de Beavne... opera atque studio F. à Schooten, . . . 1659-Principia
Matheseos Vniversalis, seu Introductio ad Geometriae Methodvm .
conscripta Er. Bartholino . . . 1661-together 2 vols., in 1, sm. 4to.,
old calf gilt
Amst. Apud L. & D. Elzevirios, 1659-61

Œuvres, publiées par Victor Cousin. 11 vols., 8vo., Papier Velin,
with portrait; calf gilt
Paris, 1824-26
768 DIGGES (LEONARD). A Geometrical Practise, named Pantometria,
diuided into three Bookes, Longimetra, Planimetra, and Stereometria,
containing Rules manifolde for mensuration of all lines, Superficies
and Solides . . . framed by LEONARD DIGGES. Lately finished by THOMAS
DIGGES his sonne . . . Anno. 1571.

Sm. 4to., woodcut on title, and many ingenious and interesting cuts in the text; in vellum wrapper; RARE 1571 769 [DIGGES.] A Geometrical Practical Treatize named Pantometria, diuided into three Bookes .. First published by Thomas Digges Esquire... Lately reviewed by the Avthor himselfe, and augmented with sundrie Additions . . . to open the passage, and prepare a way to the vnderstanding of his Treatize of Martiall Pyrotechnie and great Artillerie, hereafter to be published. At London Printed by Abell Jesses. Anno. 1591.

Small folio, black letter, woodcuts; fine clean copy in old calf gilt 1591 With the following inscription on the back of the title :-" John: Hanmer Esquier oweth this booke by the guifte of Anthonye Hanmer gent. in Auguste 1608." 770 DIGGES. A Booke named Tectonicon, briefly shewing the exact measuring, and speedie reckoning all manner of Land, Squares, Timber, Stone, Steeples, Pillars, Globes, &c. .. by LEONARD DIGGES . . . 1625. Sm. 4to., black letter; diagrams and folding tables; vellum wrapper 1625 Leonard Digges, "a most excellent mathematician, a skilful architect, and a most expert surveyor of land."-Athen. Oxon. His son, Thomas Digges, is known chiefly as the editor of his father's works.

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The extraordinary talent of the members of this family in all branches of mathematics excited the admiration of De Morgan, who speaks of them as follows:"One of the most important names connected with the advancement of English mathematical science in the sixteenth century is that of Digges." A spy-glass, jealously hidden from the eyes of would-be imitators, was supposed to have been in their possession.

771 DIOPHANTI ALEXANDRINI. Arithmeticorum libri cum commentariis C. G. Bacheti et observationibus D. P. DE FERMAT. Folio, LARGE PAPER, beautiful impression of the portrait by Poilly; very fine copy, from the Hamilton Palace Library, red morocco extra, gilt edges, by Padeloup Tolosa., 1670

772 EUCLIDIS megarēsis philosophi platonicj Mathematicaruş disciplinaru
Ianitoris: Habent in hoc volumine quicüq; ad mathematică substantiā
aspirāt: elemētorum libros. xiii. cu expositione Theonis. . Bar. Zāber
Vene. Interpte. Sm. folio, chiefly in Roman letter, numerous diagrams;
slightly wormed, title and a few leaves mended; russia gilt

Venetiis. . in edibus Ioannis Tacuini . . M.D.V... (1505)
The first translation of Euclid from the Greek. Portion of this volume had
already appeared in Venice in 1502. The translator was the author of the curious
Isolario.

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773 EUCLIDIS Elementorum lib. xv; in primum ejus librum commentariorum Procli lib iv, [Græce. Cum præfatione S. GRYNEI] Basileae, apvd Ioan. Hervagivm anno M.D.XXXIII. Mensi Septembri. Folio, woodcut diagrams; red morocco, full gilt back and broad ornamental borders

774

1533

Editio princeps, dedicated to Bishop Cuthbert Tonstall. The copy described above, fetched at the Syston Park Sale, £10. 15s.

another copy, Basileae, 1533-Evclidis Megarensis.. Elementorum Geometricorum. Lib. xv. Cum expositione Theonis in priores xiii . . . Campani in omnes, & Hypsiclis. in duos postremos... Basileae apvd Ioannem Hervagivm, . . . M.D.XXXVII-in one vol., folio, numerous woodcut diagrams; russia, by Roger Payne 1533-37 775 EUCLID. The Elements of Geometrie of the most auncient Philosopher Evclide of Megara. Faithfully (now first) translated into the English toung by H. Billingley . . . with a . . Preface by [Dr.] M. I. Dee . . . Sm. folio, old calf John Daye (1570)

The first English translation. On the last page is a large woodcut portrait of the printer, J. Daye.

776 EUCLIDIS Optiva et Catroptrica, ex graeco versa per J. Penam. Sm. 4to., diagrams, vellum

777 EUCLIDIS quae supersunt omnia.

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Paris, 1604 0 56 Ex recensione DAVIDIS GREGORII ... Folio, frontispiece and numerous diagrams; Large Paper; a very beautiful copy in old English red morocco, full gilt back, with gold centrepieces on sides, gilt edges Oxoniæ, 1703 778 EUCLID. The Elements of Euclid, by Simson. 4to., Large Paper, old calf neat Glasgow, 1756

From the Sunderland Library.

The beautifully printed first edition. "Dr. Simson restored no less than nine theorems to the fifth book, besides the excellent definitions of compound ratios."Lowndes.

779 EUCLID. The Elements of Euclid, with Dissertations by Williamson. 2 vols. in 1, 4to., old mottled calf gilt 1781-88 780 EUCLID. Les Œuvres d'Euclide, en Grec, Latin et en Français, d'après un manuscrit tres-ancien qui était resté inconnu jusqu'à nos jours, par F. PEYRARD. 3 vols. 4to., numerous figures; calf gilt Paris, 1814-18

781

The best edition.

The first six books, and the portions of the eleventh and twelfth books read at Cambridge, by Porrs, 8vo. cloth

2 16 0

066

056

200

1861

056

0 15 0

782 ECLER, KAESTNER, and others. 8 works in 1 vol., 4to., plates; half calf 1769-1810

Comprising: I. Euler. Theoria Motuum Planetarum et Cometarum-II. Melandri et Frisii de Theoria Lunæ commentarii. 1769-III. Kaestner. Dissertationes Mathematicæ et Physicæ. 1771-IV. Malus. Théorie de la double Réfraction de la Lumière. 1810-V. Kästner. Mathematische Abhandlungen vermischten inhalts. 1794-VI. Concise Account of the Origin of the new class of 24-pounder medium Guns. 1814-and two others.

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785 FELICIANO DA LAZISIO (Francesco) Libro di Arithmetica & Geometria
speculatiua & practicale. Sm. 4to., FIRST EDITION, woodcuts, hf. vellum,
uncut; RARE
Vinegia, 1527
786 FERMAT Opera Mathematica; accesserunt quædem ejusdem Epistolæ,
vel ad ipsum a plerisque doctissimis viris, Gall. Lat. vel Ital. scriptæ
(including some by Sir Kenelm Digby). Sm. folio, with the very fine
portrait by F. Poilly; calf, fine copy from the Sunderland library 1679
The correspondence includes letters from and to eminent mathematicians, including
Sir Kenelm Digby, Pascal, Mersenne, and Wallis.
"Fermat est le véritable inventeur du calcul differentiel."-Laplace.

100

400

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