neat 716 MATHIEU (É.). Cours de Physique mathématique. 4to., half russia Paris, 1873 717 MEIBOMIUS. Marci Meibomii Dialogus de Proportionibus . . Sm. folio, the AUTHOR'S OWN COPY, with his neatly written marginal additions; old vellum Copenhagen, 1655 An interesting copy of a celebrated book. The author was librarian to the King of Denmark. He wrote the above before he was twenty-five. 718 NAPIER (Title :) | RABDOLOGIE, SEV NVMERATIONES PER VIRGULAS LIBRI DVO | Cum APPENDICE de expeditissi- | simo MULTIPLICATIONIS 1617 330 18mo., a good copy in dark blue morocco 719 NAUTICAL ALMANACK (The), and ASTRONOMICAL EPHEMERIS. A COMPLETE SET from the beginning in 1767 to 1899 inclusive, with SUPPLEMENTS, APPENDICES, and LAX'S TABLES to be used with it ;-together, 134 vols., Svo., the whole bound in 136 vols., calf gilt, A FINE BRIGHT SET, from the library of the late Charles Piazzi Smyth, Ex-Astronomer Royal for Scotland 1766-1896 42 0 0 A complete set, in excellent condition, of a very rare publication. Such a set has not occurred for sale for many years. 20 NICOLAS (P.). De novis Spiralibis Exercitationes duæ M.DC.XCIII. -De Lineis logarithmicis et Spiralibus hyperbolicis Exercitationes geometrica . . . M.D.C.XCVI.-De Conchoidibus et Cissoidibus Exercitationes geometrica . . . 1697.-together 3 pts. in 1 vol., sm. 4to., with 7 plates (one defective); old calf, gilt back Toulouse, 1693-97 21 OBSERVATORY (THE). A Monthly Review of Astronomy. Complete from the beginning in April 1877 to December 1902, forming vols. I-XXV, 8vo., with numerous plates; cloth 1877-1902 22 OLIVIER (T.). Cours de Géométrie descriptive. Deuxième Edition. 1 vol., 4to. (text), and 1 vol., roy. 4to. (atlas), hf. bd. Paris, ? 1863 23 PACIOLI DE BORGO. (Fol. la, lines 1-3:) Suma de Arithmetica | Geometria Proportioni & Proportionalita. | (Fol. 308a, lines 11-15)... Con spesa e diligentia. E opifitio del prudente homo Paganino de Paganini da Brescia. Nella excelsa cita de vinegia | . . . │ 24 Į. . . Negliani de nostre Salute | M.cccc.lxliiij. adi. 10. de nouêbre 2 16 0 700 0 12 6 Sm. folio, 308 I., with a great number of woodcuts including a beautiful interlaced border (white on a black ground), numerous manual figure signs, woodcut initials, and mathematical diagrams, the inner margins of a few leaves at the end somewhat discoloured; a large and fine copy in the original vellum Venice, 1494 10 0 0 : VERY RARE. De Morgan writes of this and the subsequent edition (1523) as follows: Both editions are by one printer, Paganino of Brescia, and are beautifully printed the type of the second being a good instance of the black letter in its state of approach to what is now called Roman letter. The work itself has been described by Hutton, Montucla, Peacock, Libri, etc.; but it would yet require a volume of description to do it justice. It is sometimes called the first work on arithmetic printed; but Calandri, Petri Borgo . . . and perhaps more, take precedence. But it is certainly the first printed on Algebra, and probably the first on book-keeping." (Title) | Diuina | proportione | Opera a tutti glingegni perspi | caci e curiosi necessaria Que ciascun studioso di Philosophia:| Prospectina Pictura Scultura Architectura: Musica e altre Mathematice: sua, nissima: sottile e admirabile doctrina | con sequira e de lectarassi: cova | rie questione de secretissi scientia. | M. Antonio Capella eruditiss. recensente: | A. Paganius Paganinus Characteribus elegantissimis accuratissime imprimebat. ma | (Fol. 40 blank. Fol. 66a, colophon :) | Venetiis Impressum per | (Fol. 154 blank.) ... £ 8 Sm. folio, 154 ll. with a large number of woodcut designs by LEONARDO DA VINCI; in a Grolieresque binding with an elaborate interlaced design inlaid with black morocco, inside borders, by Binda of Milan Venice, 1509 14 14 The Ashburnham copy fetched £20. 10s. The work of Leonardo da Vinci is mentioned in the dedication to Soderini, in which the author says that he laboured on the Divina Proportione with so much ardour that he had added the illustrations engraved by our Leonardo Vinci (ut schemata quoque sua Vinci nostri Leonardi manibus scalpta addiderim). In the letter addressed to Lodovico Sforza, he bestows singularly high praise upon that great artist. 725 PAPPI Alexandrini mathematica Collectiones. Folio, with portrait and diagrams; vellum Bologna, 1660 The portrait is of William Archduke of Austria, to whom the volume is dedicated. 726 PEARSON (W.). An INTRODUCTION to PRACTICAL ASTRONOMY: containing Tables, recently computed, for facilitating the Reduction of Celestial Observations; and a popular Explanation of their Construction and Use. 2 vols. in 3, roy. 4to., with 31 plates; bds. 1824-29 the same. 2 vols., roy. 4to., half calf 1824-29 727 728 PELLOS (F.). (Leaf 1a:) | Sen segue de la art de Sm. 4to., 80 numbered ll. with woodcuts; vellum 0 1 1 1 This extremely rare volume, written in the dialect of Nice, is not described by Panzer, De Morgan, or Hain. 729 PONTÉCOULANT (G. de). Théorie analytique du Système du Monde. Seconde Edition considérablement augmentée. 4 vols., 8vo., hf. cf. Paris, 1834-56 730 PRATT (J. H.). A Treatise on Attractions, Laplace's Functions, and the Figure of the Earth. Fourth Edition. Cr. 8vo., cloth 1871 731 PRICE (B.). Infinitesimal Calculus. Vol. III. Statics, and Dynamics of material Particles. 8vo., cloth Oxford, 1856 Vol. IV. Dynamics of material Systems. 8vo., 731* the same. 0 1 0 0 cloth 732 PROCTOR (R. A.). Essays on Astronomy. Essays on Astronomy. 8vo., with 10 plates and 24 woodcuts; cloth (pub. 148) 733 PTOLEMY. (Fol. 2a, col. 1, lines 1-4 :) | ¶ Liber Quadripartiti Ptolomei idē | quattuoz tractatuu: in radicanti discretione p stellas & futuris i hoc mundo cōstructiōis z destructiōis cōtingētib' (Fol. 68a, col. 2, lines 4-6 :) Impressum in Uenetijs per Erh' dum ratdolt de Augusta. Die 15 men sis Januarij 1484. Small 4to., FIRST EDITION, Gothic letter, 68 ll. in double columns, the 6 731 RATHBORNE. (Title, engraved within allegorical figures, with inscriptions :) | THE SVRVEYOR | in | Foure bookes | by | AARON RATHBORNE | Thesauru & talentam | ne abscondas in agro. | LONDON | Printed by W. Stansby for, W: Burre. | 1616. | COLLATION: portrait of Rathborne by Simon de Pass, 1 l.; engraved title, 1 l. ; portrait of Prince Charles (afterwards Charles I) by Delaram, 17.; dedication, 1 l.; preface, 2 l.; B-X3, in sixes. DIGGES. (Title, lines 1-4 :) | A GEOMETRICAL PRACTICAL | TREATIZE NAMED COLLATION: title, 1 7.; dedication and preface, 2 l.; B-Cc3, in fours; the two works in 1 vol., sm. folio, each with woodcuts, the bottom margins somewhat stained; good copies in the original calf 1616-1591 15 15 0 The two portraits in the first-named work are fine specimens of great interest. That of Rathborne is a proof before letters. 66 Leonard Digges, the learned author of the second book, is described as 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. 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. 737 RANKINE (W. J. M.). Miscellaneous Scientific Papers. With a Memoir of the Author by P. G. Tait. Edited by W. J. Millar. 8vo., with portrait, plates, and diagrams; cloth 1881 0 12 0 738 RHETICUS. (Fol. 1a, title within a border of two ruled lines, lines 1-20 :) THESAVRVS MATHEMATICVS | Sive | CANON SINUUM | AD RADIUM I.00000. 00000. 00000. | ET AD DENA QUÆQVE SCRVPVLA | fecunda Quadrantis : | UNA CUM SINIBUS PRIMI ET POSTREMI GRADUS, AD | EVNDEM EADIUM, ET AD SINGVLA fcrupula fecunda Quadrantis: | ADIVNCTIS VBIQVE DIFFER ENTIIS PRIMIS ET SE- | cundis; atq3, vbires tulit, etiam tertijs. | IAM OLIM QVIDEM INCREDIBILI LABOR | & fumptu à GEORGIO JOACHIMO RHETICO fupputatus: | AT NVNC PRIMVM IN LUCEM EDITVs, | & cum viris doctis communicatus | A | BARTHOLOMEO PITISCO | GRUNBERGENSI SILESIO. | (The same, lines 27-30:) | FRANCOFURTI | Excudebat Nicolaus Hoffmannus, fumptibus | JONE ROSE ANNO | (Here a ruled line.) | C1ɔ. 15. XIII. | Folio, "Collegij Societatis Jesu Ingoldstadij A: 1613" on title; russia gilt, gilt edges Frankfurt, 1513 (1613) 8 0 0 Excessively rare and unknown to De Morgan. The Delambre copy fetched 216 fr. Rheticus ranked with Vieta and Cataldi as one of the three greatest mathematicians of the 16th Century. 739 RINGELBERGH. (Fol. la:)! IOACHIMI RINGELBERGII ANTVER PIANI | Inftitutiones Astronomica ternis libris con | tentæ. Quorum | 180 740 ROCHE. (Fol. 1a, lines 1-4 :) | Larifmetique & Geometrie de maitre | Eftienne de la Roche dict Ville Fran che, Nouuellement Imprimee & des faultes corrigee, | (The same, lines 18-20 :) | On les uend a Lyon a lenfeigne de la Sphere, cheulx Gilles, & Iaques Huguetan frères. | 1538 | Sm. folio, with woodcuts, fol. 1 very slightly defective; old French calf Lyons, 1538 3 gilt At the end are an interesting treatise on book-keeping and tables of gold and silver. 741 ROYAL ASTRONOMICAL SOCIETY. MONTHLY NOTICES. A COMPLETE SET from the beginning in 1827 to 1901 ;-in all, 61 vols. and a General Index to the first fifty-two vols., 8vo., with plates; 33 vols. in 16, half calf gilt, 2 vols. bound not uniformly, the rest in nos. 1827-1901 25 the same. MEMOIRS. A COMPLETE SET from the beginning in 1822 to 1899 inclusive;-in all, 53 vols., 4to., with numerous plates; 36 vols. in 21, half calf neat, the rest in bds. 741* 1822-99 42 742 ROYAL PHYSICAL SOCIETY. PROCEEDINGS. Sessions 1879-80, 1880-81, 1881-2, 1883-4, 1884-5, 1885-6, 1886-7, 1887-8, 1888-9, 1889-90, 1892-3, 1893-4, 1894-5, 1896-7, 1897-8;-together 15 pts., 8vo., with numerous plates; sd. (pub. £6. 9s 6d) Edinburgh, 1880-99 CONTENTS Vol. V, pt. 2; vol. VI; vol. VII, pt. 1; vol. VIII, 2 pts.; vol. IX, 3 pts. ; 747 Vol. II consists of the important Bedford Catalogue. 749 SYMONS (G. J.). 750 21 0 0 0 1 0 0 1844 0 4to., calf 1813 0 BRITISH RAINFALL. On the Distribution of Rain over the British Isles during the years 1865 to 1898 inclusive. 34 vols., 8vo., with plates; cloth 1865-99 MONTHLY METEOROLOGICAL MAGAZINE. Complete from the beginning in 1866 to January 1900, forming vols. 1-XXXIV, 8vo., in 408 nos. as issued (pub. £6. 16s) 1866-1900 751 STRUVE. Expédition chronométrique exécutée par Ordre de S. M. l'Empereur Nicolas Ier entre Poulkova et Altona pour la Détermination de la Longitude géographique de l'Observatoire central de Russie. RAPPORTS. Par F. G. W. STRUVE. Impl. 4to.; sd. St. Petersburg, 1844 Description de l'Observatoire astronomique central de Poulkova. Par F. G. W. Struve. Impl. 4to., pp. 293 and 132, with ATLAS containing 40 plates; bds. ibid., 1845 Expédition chronométrique exécutée par Ordre de S. M. l'Empereur Nicolas Ier entre Altona et Greenwich pour la Détermination. de la Longitude géographique de l'Observatoire central de Russie. RAPPORTS. Par F. G. W. Struve et O. W. Struve. Impl. 4to., with 2 plates; sd. ibid., 1846 752 753 2 0 0 0 754 TAIT (P. G.). An Elementary Treatise on Quaternions. Second Edition, enlarged. Svo., cloth (pub. 14s) £ 8. d. Oxford, 1873 050 755 TODHUNTER (I.). An ELEMENTARY TREATISE on LAPLACE'S FUNCTIONS, Lamé's Functions, and Bessel's Functions. Cr. 8vo., cloth; very scarce 1875 756 TOWNSEND (R.). Modern Geometry of the Point, Line, and Circle. 758 TUNSTALL. 759 Sm. 4to., Thomas Digges's copy with his signature, a few ll. a little another edition. Sm. 4to., old limp vellum 1 10 0 0 10 6 0 16 0 4 4 0 1 18 0 1847 0 3 6 761 TYNDALL (J.). A COLLECTION of his WORKS (as described below). 17 vols., VARIOUS EDITIONS, with illustrations; cloth 1870-1899 Nos. 1, 2, and 16 are out of print. The others are published at £4. 178 partly net. 350 1875 0 5 6 63 VIATOR. (Fol. 1a, title:) + DE. ARTIFICIALI. PSPECTIVA. | (Here a woodcut of concentric circles to represent distance as seen through a tunnel.) | VIATORT | Hi. (Fol. 2a, lines 1-2) | De perspectiua positiua: Cōpendiu. | A Funda mentis edificatum . . . (Fol. 42a, colophon:) . . . IMpressum Tulli | Anno catholice ve- ritatis. Quigëte simo quito supza | Milesimū: Ad nonu Calendas | Iulias. Solerti opera petri iacobi | pbri Incole pagi Sancti Nicolai. (This colophon is printed by the side of the printer's mark, a woodcut in which a cross (with nails) rises from a wounded heart, on the left of the cross some notes of music, on the right the words Fides Ficit.) (Fol. 43a, lines 1-2 :) | |