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MATHEMATICS
[
]
A Concise Overview for a
Very Special Student Subset
(“Abregé”). Le Blond, Guillaume. Abregé de geometrie à l'usage des pages de la Grande Ecurie du Roy. Où l'on donne ce qui est le plus nécessaire pour entrer dans l'étude des fortifications. Paris: Joseph Bullot & Jombert, 1737. 12mo (16.9 cm, 6.7"). [4], 162, [6] pp.; 5 fold. plts.
Click the images for enlargements.
young men working in the royal stables who had only scant time available for the study of mathematics. In addition to a mathematician, professor, and contributor to Diderot's Encyclopédie, the author (1704–81) was a scholar of military tactics, responsible for Éléments de tactique and Traité de l'attaque des places among other items.
This now-uncommon textbook is illustrated with five folding engraved plates of diagrams. WorldCat shows
just one U.S. institution (Society of the Cincinnati) reporting a copy, and only a handful of overseas holdings.
Provenance: Title-page with early inked inscription “de Ratzenried” and front pastedown with von Ratzenried armorial bookplate (coat of arms showing greyhounds and a moon with clouds) labelled F.C.V.R.: possibly Franz Carl Anton von und zu Ratzenried.
• Contemporary mottled calf, board edges with gilt roll, spine with raised bands, gilt-stamped leather title-label, and compartments gilt extra; light wear overall, edges and joints moderately rubbed. All edges speckled red. Bookplate and inscription as above. Pages with occasional small pencilled marks of emphasis, otherwise clean; one plate with outer edge slightly tattered. 
A very nice copy, in contemporary binding, of a scarce practical compendium. (40246)
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First Edition of a CLASSIC —Building Shapes EFFICIENTLYAlberti, Giuseppe Antonio. Trattato della misura delle fabbriche nel quale oltre la misura di tutte le superficie comuni si da ancora la misura di tutte le specie di Volte, e d'ogni specie di solido, che possa occorrere nella misura di esse. Venezia: appresso Giambattista Recurti, 1757. 8vo (21.4 cm; 8.5"). Engr. frontis. port., xxxii, 279, [3] pp., XXXVIII plts.
Click the images for enlargements.
37 full-page plates and one folding engraved plate depicting the various measurements and angles to be taken into consideration when building with various shapes. Alberti uses the research of other architects and theoreticians — including Jousse, Blondel, Sangallo, Parent, La Hire, and Varignon — in the explanations of various mathematical problems.
Binding: Original cartonné binding; title inked on spine, text untrimmed and partially unopened.
• Catalogo ragionato dei libri d’arte e d’antichità posseduti dal conte Cicognara, 389; Riccardi, P. Biblioteca matematica italiana, vol. I, col. 16–7. Bound as above, gently rubbed with squiggle of wormtracking through front board and first leaves including half title/frontispiece, portrait, and title-page, with delicate repairs thereto. Two central sections with light staining to upper outer corners, as of old, very light blue ink; some late leaves with slim crescent of old and likewise light waterstain just into top margins; two leaves with limited in-press ink smears (and a few mispaginations). Nice copy of an important work. (37209)
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Studying DESCARTES' PrinciplesDescartes, René; Florimond de Beaune; Johan de Witt; & Frans van Schooten; Rasmus Bartholin, ed. Renati des Cartes Principia matheseos universalis, seu introductio ad geometriae methodum. Francofurti ad Moenum: Sumptibus Friderici Knochii, 1695. 4to (21.3 cm, 8.3"). [8], 420, [4], 423–68, [2] pp.; diagrs.
Click the images for enlargements.
• VD17 3:301520H. 19th-century half calf and marbled paper–covered sides, spine with gilt-stamped leather title and date label; mildly rubbed overall. Title-page with rectangular portion on either side of printer's device excised and repaired (repair apparently done some time ago), with excision just barely touching the ends of the motto banner. First few leaves browned; foxing and offsetting throughout. A worthwhile exploration of mathematical thought as it stood toward the close of the 17th century, and a good solid copy. (39902)
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The Usefulness ofNew SCIENCE & Its InstrumentsGlanvill, Joseph. Plus ultra: Or, the progress and advancement of knowledge since the days of Aristotle. London: Pr. for James Collins, 1668. Sm. 8vo (17.8 cm, 7"). 36, 149, [5] pp. (1 final adv. f. lacking).
Click the images for enlargements.
Glanvill defends the advances of science and the Royal Society's scientific method in this rather pugnacious response to controversy caused by an “enrag'd Antagonist” (the Puritan theologian Robert Crosse) who “reported [the author] an Enemy to the Scriptures” (p. 141) and charged him with atheism. Here, Glanvill describes recent progress in chemistry, anatomy, algebra, geometry, astronomy, geography, and natural history, along with advances in instruments such as the telescope, microscope, thermometer, and barometer. 
Despite internal wear, now solid for use and attractive on shelf. (41357)
A Game with Forfeits, a Dictator, & Mirth (Illustrated Rhyming Game). The gaping, wide-mouthed, waddling frog: A new and entertaining game of questions and commands with proper directions for playing the game and crying forfeits: Embellished with thirteen coloured engravings. [London]: Republished by Field & Tuer, 1887. Small 8vo (18.5 cm, 7.25"). [4], iv, [7]-29, [2] pp., [4 (ads)] ff.; [1] plt., col. illus.
Click the images for enlargements.each printed page has a hand-colored illustration.
Provenance: From the children's book collection of Albert A. Howard, small booklabel (“AHA”) at rear.
• Buff-color printed wrappers with hand-colored vignette on front wrapper; stitched, head and foot of spine chipped, rear wrapper detached and reattached with archival tissue. A good++ copy. (38873)
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Learning the Times Tables with Hand-Colored Pilgrims,(Juvenile Mathematics). Grandmamma Easy's merry multiplication. [London]: Dean & Co., [ca. 1850]. 8vo (25 cm, 9.84"). 8 ff.; col. illus.
Click the images for enlargements.title-page vignette and 16 wood-engraved illustrations have been hand-colored. This item comes from the publisher's “Grandmamma Easy's Pictorial Books” series, and is now uncommon: a search of WorldCat finds only four U.S. institutions reporting holdings of this first edition: There seem to have been one later printing and definitely several subsequent American printings.
Provenance: Front cover with early inked ownership inscription of Spencer William Wiles, 1855[?, date partially rubbed]; most recently in the chidren's book collection of American collector Albert A. Howard, small booklabel (“AHA”) at rear.
• Osborne Collection, p. 711 (giving speculative date). Publisher's half cloth and printed paper–covered sides; lightly rubbed and dust-soiled, inscription as above, endpapers skillfully refreshed. Page corners and edges showing wear, with one outer corner unobtrusively repaired. Overall a solid copy in original binding, interior completely free of any sign of childish handling andbright, bright, bright. (40807)
Standard & Ground (or Wave?)-BreakingMedina, Pedro de. Arte del navigare. Venetia: Appresso Tomaso Baglioni, 1609. 4to (20.5 cm, 8"). A4 b4 2A8 B–Q8 R10; [7], [1 (blank)], 137, [1 (blank)] ff.; illus. 
Click the images for enlargements. 
Also included is a woodcut map showing Europe, the Atlantic, and the New World.
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Attractively Printed for a Private IndividualAn Unrecorded BroadsideMoreno, Jose Manuel. Broadside, begins: Tabla de las fiestas movibles. Puebla: Impressa en la Imprenta de Christoval de Ortega, 1761. Folio (38.5 cm, 15.25"). [1] p.
Click the image for an enlargement.It represents a very uncommon type of job printing, done as it was for a private individual rather than a guild or government entity.The best account of the Ortega family and its typographic history is in Marina Garone Gavier's work cited below.
Unrecorded in the bibliographic record: Not in NUC, WorldCat, CCILA, Medina, Gavito, etc.
• Not in Medina, Puebla; not in Gavito, Adiciones a la Imprenta en la Puebla. Marina Garone Gavier, Historia de la imprenta y tipografia colonial en Puebla de los Angeles (1642–1821), pp. 306–73. Removed from a bound volume. A tear into the text repaired from the rear without loss. Very good. (41013)
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Keeping the Theoretical & the Practical in BalanceOzanam, Jacques. La geometrie pratique, contenant la trigonométrie théorique & pratique, la longimétrie, la planimétrie, & la stéréometrie. Avec un petit traité de l'arithmetique par géometrie. Paris: Charles-Antoine Jombert, 1736. 16mo (16.2 cm, 6.375"). [8], 308, [20 (index)] pp.; 8 fold. plts.
Click the images for enlargements.illustrated with eight tipped-in folding engraved plates, while its accompanying “petit traité” features numerous in-text diagrams. 
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The First Australian Star Catalogue — “Devoted to the Heretofore Unknown Parts of the Heavens”Rumker, Charles. Preliminary catalogue of fixed stars intended for a prospectus of a catalogue of the stars of the Southern Hemisphere included within the Tropic of Capricorn now reducing from the observations made in the observatory at Paramatta. Hamburgh: Printed for Perthes & Besser, 1832. 4to (25 cm; 10"). 20, xxv pp.
Click the images for enlargements. a foundation work of Australian science and an important one for the history of world astronomy — the first Australian star catalogue. Christian Carl Ludwig Rümker (a.k.a. Charles Rumker, 1788–1862) was born at Stargard, Mecklenburg-Strelitz, Germany; he studied to be a builder and passed his master builder examination in 1807 but abandoned that career for teaching mathematics. Two years later, he gave that up in favor of the sea and England, serving variously as a midshipman in the East India Company, a helmsman in the merchant navy, a teacher of sea cadets, and an officer on H.M.S.'s Benbow, Montagu, and Albion. His introduction to astronomy came while on Mediterranean service, where he made the acquaintance of Baron Franz-Xaver de Zach, an Austrian astronomer. 
Rumker’s catalogue of stars visible in the southern hemisphere had both a purely scientific aim and a practical one. The systematic study and cataloguing of the stars visible with the aid of observatory-based telescopy in the southern hemisphere was in its infancy in the 1820s: The Royal Observatory at the Cape of Good Hope was established in 1820 and was the first permanent astronomical observatory in the southern hemisphere. Thus one can see the importance of Parramatta being up and working in 1822. On the practical side, Gov. Brisbane was a naval officer who knew the importance of the stars in navigation. Rumker’s work and his catalogue served both science and the Royal Navy, as he offered “Constants of Aberration and Nutation”; a “Comparison of my Observations with those made by La Caille”; and notes on “Double Stars,” “Magnitudes and Colour of the Stars, Nebula's, &c.,” and so forth — with the grand quotation of our caption being taken from his Preface.
Searches of NUC and WorldCat locate only nine copies in U.S. libraries.
Provenance: Presented to Alexander Dallas Bache, a great-grandson of Benjamin Franklin and at the time of publication of this work a professor of natural philosophy and chemistry at the University of Pennsylvania: “Professor A.D. Bache / with the author's Compts.” in ink on the front wrapper.
• Publisher's blue-green wrappers, covers stained and separating; text block stitched as issued. Overall age-toning; occasional foxing; faint waterstaining in upper third of most pages. Overall a good++ copy. (35203)
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Scarce Medical Dissertation — Presentation Inscription from the DoctorSanty, L. Gervais. Dissertation sur l'application des sciences physiques et mathématiques, aux sciences médicales en général; suivie de l'exposition succincte de la Constitution météorologique et médicale de printemps de 1807, avec une courte description des maladies qui se sont présentées, pendant ce trimestre, à l'Hôtel-Dieu Saint-Eloi de Montpellier. Montpellier: Bonnariq, F. Avignon & Migueyron, 1808. 4to (23.3 cm, 9.2"). 55, [1] pp.
Click the images for enlargements.mathematics in various aspects of medicine including calculating probable outcomes, pathology, hygiene, anatomy, etc., submitted to the Montpellier medical school on 13 February 1808 by a physician born in Pézenas, France. Santy, who dedicated his dissertation to his parents, his uncle, and one of his former mathematics teachers, defended his work before a group of professors including Charles Louis Dumas, the head of the school. Searches of WorldCat findno U.S. institutional holdings, and only five overseas institutions reporting copies.
Provenance: Title-page with signed inked inscription noting presentation by the author to a Monsieur Robieux as a mark “d'estime, de considération, et d'amitié.” Later from the residue of the stock of the F. Thomas Heller bookselling firm (est. ca. 1928).
• Stitched in contemporary paper wrappers, faded to rose-pink and worn. Two spots of pinhole worming throughout, touching letters without affecting sense. A solid and very readable copy of this uncommon item. (40214)
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Advances in Newtonian CalculusSimpson, Thomas. The doctrine and application of fluxions. Containing (besides what is common on the subject) a number of new improvements in the theory. And the solution of a variety of new, and very interesting, problems in different branches of the mathematicks. London: John Nourse, 1776. 8vo (21.6 cm, 8.5"). xi, [1], 274, [2], 275–576 pp.; diagrams.
Click the images for enlargements.
• ESTC T77585. On Simpson, see: Oxford Dictionary of National Biography (online). Period-style quarter speckled calf with marbled paper–covered sides, spine with gilt-stamped title and gilt-ruled raised bands. One leaf of advertising reported after the second title-page of some copies not present here (with no sign of loss or excision). First few leaves with upper outer corners worn; one tiny spot of pinhole worming to outer margins of first half of volume; a very few ink droplets and small spots of foxing, pages otherwise clean. An important mathematical treatise, now uncommon on the market, here in a simple but elegant, distinguished, and solid binding. (39974)
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