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Marinoni (Giovanni Jacopo de) De Astronomica Specula Domestica et Organico Apparatu Astronomico libri duo, first edition, engraved frontispiece (slightly water-stained), title in red and black with engraved vignette of a plan of Vienna, 4 plates printed recto and verso, one with tear just encroaching on plate-mark, 44 folding plates, illustrations, some light offsetting, later green half morocco over marbled boards, modern cloth drop-back box, [Tomash & Williams M37; Riccardi ii, 119], folio, Vienna, Leopold Johann Kaliwoda, 1745.⁂ Lavishly produced work describing the astronomical instruments in Marinoni's private observatory. "One of the most exquisitely illustrated astronomical works ever printed" (Kenney). Includes the so-called culminatorium, Marinoni's wall quadrant, the quadrans ampliatus and the micrometer. Marinoni (1676-1755) studied in Vienna and became imperial mathematician and teacher in astronomy to the Empress Maria Theresa, to whom this work is dedicated.Provenance: Marchese Bourbon di Monte, di Petrella (armorial bookplate lettered "Ex Libris Petrellianis").

Marinoni (Giovanni Jacopo de) De re ichnographica, first edition, engraved frontispiece, title in red and black with engraved vignette depicting a plan of Vienna, 3 double-page engraved maps, 2 double-page plates, engraved illustrations, many full-page, errata leaf, staining towards end, small ink stamps to title and plate versos, one on title partially erased causing small hole, contemporary sheep, spine gilt, extremities worn, modern cloth drop-back box, [Tomash & Williams M38; Riccardi ii, 119], 4to, Vienna, Leopold Johann Kaliwoda, 1751.⁂ Marinoni was Imperial Mathematician and Director of the Academy for Geometry and Military Science in Vienna. Handsomely produced work on architectural surveying.

Martin (C. François) Poids et mesures de la ville de Marseille, 2 folding tables, 2 regulateurs printed on yellow card in pocket at rear, one large, one small, title and small regulateur signed, tables, contemporary boards, Marseilles, Requier, 1807; Martin (C. François) Le parfait régulateur, first edition, cardboard régulateur inserted in pocket at front, errata, contemporary stiff blue marbled wrappers, rubbed, Toulon, P.J. Calmen, 1807, [Tomash & Williams M46 & M45 bis], 8vo (2)⁂ A series of conversion tables, for use in conjunction with the scales included here.

Martin (C. François) Le parfait régulateur, first edition, woodcut decoration to title, tables, metal régulateur inserted in front pocket, errata at end, contemporary stiff blue wrappers, rubbed and worn, [Tomash & Williams M45], 8vo, Toulon, P.J. Calmen, 1807.

Mascheroni (Lorenzo) La Geometria del Compasso, first edition, 14 folding engraved plates, occasional foxing or dampstaining, contemporary wrappers, some creasing, a few small chips to extremities, uncut, [Tomash & Williams M56], 8vo, Pavia, heirs of Pietro Galeazzi, 1797.⁂ First edition of this work in which "Mascheroni proved that all Euclidean constructions can be made with compasses alone-that is without using a straight edge." - Tomash & Williams.

Mascheroni (Lorenzo) Geometrie du compas. Ouvrage traduit de l'italien par A.M. Carette, first edition in French, half-title, 14 engraved folding plates, 4pp. advertisements, occasional scatter spotting, contemporary calf, a little rubbed and scuffed, [Tomash & Williams M57], 8vo, Paris, chez Duprat, 1798.

Mensuration.- Malthus (Thomas Robert) Parallel Chapters From The First And Second Editions Of An Essay On The Principle Of Population, occasional foxing, original cloth, New York, 1895 § Adams (John Quincy) Report of the secretary of state, upon weights and measures, first edition, folding tables, browning, ink inscription to head of title, 20th century half calf, Washington, DC, Gales and Seaton, 1821, [Tomash & Williams M27 & A12]; and 2 others, similar, 8vo (2)

[Babbage (Charles) and John Herschel]. Memoirs of the Analytical Society 1813, first edition, errata f., ink inscription to head of contents p., Cambridge, 1813 bound with Agnesi (Maria Gaetana) Analytical institutions... translated into English by John Colson, vol. 2 only, half-title, Taylor and Wilks, 1801 together 2 works in 1 vol., occasional light foxing or finger-soiling, both title-pages cut down at head and restored, lacking front free endpaper, 19th century half morocco, extremities rubbed, [Origins of Cyberspace 17-18 (copy lacking two leaves of the Babbage paper); Tomash & Williams B67 & A41; Van Sinderen 1-2], 4to.⁂ Rare. "Driven by their desire to modernize the teaching of mathematics at Cambridge when they were undergraduates there, Babbage, Herschel and Peacock founded the Analytical Society in 1813. The contents were of surprisingly high quality (often written by the founders and their friends). This volume contains a preface and three articles. Babbage was certainly the author of the preface and the first article, and he might well have written the second" - Tomash & Williams.

Merchants' handbooks.- Tapis (Vincent César) Tables de nombres fixes, pur opérer les principales réductions étrangères avec la France, first edition, woodcut title decoration, first and last f. blank, contemporary calf, wear to extremities, Lyon, Pierre Valfray, 1751 § Nouvelle methode pour trouver facilement & en peu de tems la valeur de quelque nombre que ce sort de Louis d'argent, d'ecus d'or, lys d'or, de pistoles & de Louis d'or, avec un nouveau calcul pour les rentes, depuis le denier sept jusques au denier trente. Augmentée, a few small patches of staining, ink stamps to title, contemporary calf, spine ends chipped, Paris, Jean Guignard, 1686 § Ouvrier Delile, Jean-Claude (d.1807). Calcul des décimales, appliqué aux différentes opérations de commerce, de banque et de finance, first edition, half-title, manuscript index tabs, bookplates to pastedown, contemporary calf-backed marbled boards, Paris, Libraires Associés, 1765, [Tomash & Williams T6, R23 & O57], 8vo (3)

Meteorology.- Richardson (Lewis F.) Weather Prediction by Numerical Process, first edition, frontispiece, diagrams and illustrations, original cloth, dust-jacket, spine ends and corners a little chipped, some splitting and wear to lower joint, [Tomash & Williams R88], 4to, Cambridge, 1922.⁂ Rare landmark work on weather forecasting.

Adams (George) Astronomical and Geographical Essays: containing, I. A comprehensive view of the General Principles of Astronomy. II. The use of the celestial and terrestrial globes... III. The description and use of the armillary sphere, planetarium, tellurian, and lunarium. IV. An introduction to practical astronomy, first edition, engraved frontispiece and 21 plates, 15pp "Catalogue of Mathematical and Philosophical Instruments Made and Sold by George Adams, Mathematical Instrument Maker to His Majesty, and Optician to His Royal Highness the Prince of Wales" at rear, light dampstaining to foot of frontispiece but a bright, clean copy otherwise, contemporary tree calf, gilt, spine rubbed and chipped, upper joint neatly repaired, [Tomash & Williams A8], 8vo, for the Author by R. Hindmarsh, 1789.

Babbage (Charles), John F.W. Herschel and George Peacock, translators. An Elementary Treatise on the Differential and Integral Calculus by Silvestre François Lacroix, first edition in English, 5 engraved folding plates, foxing, modern boards, [Tomash & Williams L12; Origins of Cyberspace 20; Van Sinderen 6], Cambridge, 1816 § Babbage (Charles) Examples of the solutions of functional equations, engraved plate, bound after Herschel (John Frederick William) A Collection of Examples of the Applications of the Calculus of Finite Differences, together 2 works in 1 vol., occasional foxing, modern cloth, [Tomash & Williams B23 bis; Origins of Cyberspace 26; Van Sinderen 13], Cambridge, 1820, 8vo (2)⁂ "This translation, done while the translators were still undergraduates, was instrumental in shifting the teaching of mathematics in Britain from Newton's calculus of fluxions to the methods of the differential and integral calculus developed in Europe." - Tomash & Williams. The following 2 works by Herschel and Babbage are a large set of example of the application of the calculus differences, initially intended to accompany that translation but ultimately published separately.

Monte (Guidobaldo del) Planisphaeriorum Universalium Theorica, first edition, title with woodcut vignette, woodcut initials and illustrations, some full-page, lacking final two ff. (containing errata and colophon), very occasional light spotting, later calf, gilt, sympathetically rebacked, preserving majority of original backstrip, corners bumped, extremities rubbed, [Edit16 16712; Riccardi ii, 179; Tomash & Williams M120], 4to, Pesaro, Girolamo Concordia, 1579.⁂ Scarce. Guidobaldo helped to develop a number of mathematical instruments, including the proportional compass, the elliptical compass, and a device for dividing the circle into degrees, minutes, and seconds. He was a patron and friend of Galileo.

Napier (John) Raddologia, Overo Arimmetica Virgolare, first Italian edition, 7 woodcut plates (including one table), all but one folding, illustrations, some full-page, woodcut printer's device on final leaf, decorations and initials, spotting, 18th century vellum, small patch worn on upper cover, head of spine defective, [Tomash & Williams N8; Riccardi ii, 44], 8vo, Verona, Angelo Tamo, 1623.⁂ First Italian edition of one of the earliest books on the use of mechanical devices in mathematical calculation. This translation contains additional commentary by Locatello, as well as illustrations not appearing in the original edition published in Edinburgh, 1617. "A set of ten rods of wood or ivory constituted one of the earliest forms of mechanized calculation. With these Napier tried to do away with the tediousness of calculating and coined the word 'rabdologia' as numeration by little rod." (Dibner)

Napier (John) Rabdologiae seu Numerationis per Virgulas libri duo, third edition, 9 folding woodcut and letterpress plates, a few with slight tears, one repaired, woodcut initials and diagrams, lower half of title defective and supplied in facsimile, small burn-hole to B7 with slight loss of text, browned, bookplate of Michel Chasles with ink inscription about the purchase of this copy at the Chasles sale in 1881, contemporary vellum, modern cloth drop-back box, [Tomash & Williams N10; Dibner 107 for first edition], 12mo, Leiden, Pieter Rammazeyn, 1628.

Napier (Mark) Memoirs of John Napier of Merchiston, first edition, 13 plates, occasional foxing, bookplate of the Maitland Club to pastedown 20th century morocco-backed club with emblem of Maitland Club to covers, Edinburgh, 1834 § Napier (John) De arte logistica Joannis Naperi merchistonii baronis libri qui supersunt, engraved frontispiece, plate, contemporary boards, rebacked in calf, Edinburgh, 1839, [Tomash & Williams N16 & N14bis], 4to (2)

Napier (John) De arte logistica Joannis Naperi merchistonii baronis libri qui supersunt, deluxe wide-margined copy printed in red and black, presentation inscription "To William Stirling [Maxwell] Esq. of Keir with the editor's best regards" to endpaper, engraved frontispiece, plate, foxing to endpapers, contemporary half morocco, rebacked, Edinburgh, 1839; The Construction of the Wonderful Canon of Logarithms. Translated from Latin into English with notes and a catalogue of the various editions of Napier's works, by William Rae MacDonald, first edition in English, bookplate to pastedown, original vellum-backed cloth, uncut, Edinburgh, 1889, [Tomash & Williams N14 & N13]; and 2 others, Napier, 4to & 8vo (4)

Navigation.- Newhouse (Daniel) The Art of Sailing by the Logarithms, or artificial sines and tangents. Being the most exact way of working all sorts of traverses, and keeping a reckoning at sea. The whole being practically and very intelligibly laid down, with necessary questions in astronomy. Being the second part of the whole art of navigation, first edition, tables and diagrams, title with short tears to gutter, occasional browning, bookplate removed from title verso, lacking front free endpaper, contemporary red panelled morocco, richly gilt with acorn, floral and foliage tools, all within three sets of triple filet borders, spine in compartments, each with a single floral tool, extremities rubbed, cracking to joints, [Tomash & Williams N27], 4to, for Richard Mount , 1701.⁂ First edition of this second part of Newhouse's The Whole Art of Navigation. The unnumbered leaves at the end of this book contain James Atkinson's A Triangular Canon Logarithmical: or a table of artificial sines, tangents and secants. The Naval Binder used a small parrot head stamp, very similar but not identical to this stamp.

Neve (Richard) Mathematicks made plain, in the solution of variety of useful propositions... all perform'd by that excellent line of numbers, commonly call'd Gunter's-Line. Being a necessary companion for gentlemen, military officers, engineers, architects, first edition, occasional spotting or light browning, ink stamp to title, 20th century calf, [Tomash & Williams N26], 8vo, W. Pearson, 1708.⁂ A rare little work, designed for use by tradesmen. Provenance: John Thomas Barber Beaumont (1774-1821, ink stamp).

Newton (John) A Help to Calculation. Or two tables: the one of decimal numbers, and the other of their logarithmes, for the ready converting of sexagenary tables into decimal, and the contrary, first edition, title within ruled border, tables, ink stamp to title verso, 20th century half morocco, [Tomash & Williams N33; Wing N1060], small 4to, Joseph Moxon, 1657.⁂ Rare. "The present work, published by Joseph Moxon for sale in his instrument shop, is designed to aid in the conversion from sexagesimal to decimal numbers so that problems in astronomy, navigation, etc. can more easily be solved using the standard logarithmic tables. After a short introduction, the majority of the volume is taken up by the tables." - Tomash & Williams.Provenance: The Royal Society (ink stamp).

Number theory.- Fine (Henry Burchard) The number-system of algebra treated theoretically and historically, first edition, spine ends and corners a little rubbed and bumped, Boston, 1890 § Dedekind (Julius Wilhelm Richard) Essays on the theory of numbers, Chicago, Open Court, 1909 § Householder (Alston Scott) Principles of numerical analysis, New York, McGraw-Hill Book Company, 1953, first or first American editions, original cloth, [Tomash & Williams F57, D25 & H172]; and 9 others, number theory, 8vo (12)

Ozanam (Jacques) Tables des sinus tangentes et sécantes, first edition, woodcut initials, head-pieces and diagrams, light dampstaining and minor worming towards end, later boards, stained, modern label to spine, [Tomash & Williams O64], Paris, Author & Estienne Michallet, 1685; and 4 others, logarithmic tables by the same and similar, 8vo (5)

Ozanam (Jacques) L'Usage du Compas de Proportion, explique et demontre d'une maniere courte & facile, first edition, 2 engraved and 2 woodcut plates, woodcut initials, head- and tail-pieces and diagrams, book label to pastedown, contemporary calf, spine gilt, spine ends a little chipped, preserved in custom drop-back box, [Tomash & Williams O69], 8vo, Paris, Estienne Michallet, 1688.⁂ Provenance: Léon Leroy (book label).

Ozanam (Jacques) Méthode facile pour arpenter ou mesurer toutes sortes de superficies, first edition, woodcut initials, head-pieces and diagrams, handsome contemporary red morocco, gilt, spine gilt in compartments, g.e., slip-case, [Tomash & Williams O60], 8vo, Paris, Jean Jombert, 1699.⁂ An attractive copy of this treatise on surveying and surface measurement in general.

Palmer (John) The Catholique Planisphaer. Which Mr Blagrave calleth the Mathematical Jewel, first edition, engraved additional pictorial title, 4 plates (of which 3 tipped onto outer edge of text ff. as issued), T4 duplicated, occasional autograph notes to margins and plates, occasional spotting or browning, mostly marginal, later half calf, rebacked preserving original backstrip, [Tomash & Williams P12; Wing P248], small 4to, Joseph Moxon, 1658.⁂ A revision of Blagrave's The Mathematical Jewel of 1585.Provenance: Harrison D. Horblit (1912-1988, book label to pastedown).

Pearson (Karl) The chances of death and other studies in evolution, 2 vol., first edition, engraved frontispieces, errata slips, plates, original green cloth, spines slightly darkened, minor bumping to spine ends and corners, spotting to fore-edge, excellent otherwise, [Tomash & Williams P33], 8vo, Cambridge, 1897.

Pitiscus (Bartholomaeus) Sinuum tangentium et secantium canon manualis, first edition, title with woodcut decoration, the odd spot or neat ink correction, occasional light damp-staining or browning, ink name erased from title, contemporary vellum, light staining, later endpapers, [Tomash & Williams P90; VD17 14:634982P], 12mo, Heidelberg, Johannes Rosae, 1613.⁂ Rare first edition of Pitiscus's separately-issued trigonometric tables. Pitiscus created the modern field of trigonometry and gave it its name, we can trace only 2 other copies at auction in the last 50 years.

Babbage (Charles).- Memoirs of the Astronomical Society of London, vol.1-3 only, first edition, 14 engraved plates, 2 folding, one folding printed table, most plates offset, some trimmed, contents leaves in vol.2 misbound, contemporary half russia over marbled boards, spines gilt, vol.1 and 3 rebacked preserving original spines, [Tomash & Williams A107, B32], 4to, 1822-26-29.⁂ Babbage was one of the founders of the society, which later became the Royal Astronomical Society, and contributed the following papers:i) A note on the application of machinery to the calculation of astronomical tables [Tomash & Williams B40; Van Sinderen 17; Origins of Cyberspace 33]ii) Notice respecting some errors common to many tables of logarithms [Tomash & Williams B41; Van Sinderen 32]iii) Observations on the application of machinery to the computation of mathematical tables [Tomash & Williams B45; Van Sinderen 19; Origins of Cyberspace 33]iv) On a New Zenith Micrometer [Tomash & Williams B36; Van Sinderen 25].Also included, relating to Babbage, is Address of Henry Thomas Colebrooke, president of the Astronomical Society of London, on presenting the gold medal to Charles Babbage [Tomash & Williams C117]Provenance: Ashely (bookplate).

Pitiscus (Bartholomaeus) Sinuum, tangentium et secantium canon manualis, upper cover lettered in gilt "IIHS 1628", lacking ties,[Tomash & Williams P91; VD17 39:115082B], Heidelberg, Jonas Rosa, 1620; [Another edition], [edited by Denis Henrion], woodcut diagrams, light spotting, minor worming to first few ff., preserved in custom drop-back box, [Tomash & Williams H108], Paris, Melchior Mondière, 1623, titles with woodcut decorations, tables, ink inscriptions to titles and endpapers, contemporary vellum, 12mo (2)

Playford (John) Vade mecum, or the necessary companion, containing, 1. Sir S. Morland's perpetual almanack... 2. The computation of years... 3. The reduction of weights and measures. 4. The ready casting up any number of farthings [&c.] With Sir Samuel Morland's new table for guinneys... 5. The interest, and rebate of money, the forbearance, discompt, and purchase of annuities, at 6 per cent. 6. The rates of post-letters... 7. The rates or fares of coach-men [&c.], first edition, dedication f., engraved portrait of Samuel Morland, 3 engraved and numerous woodcut tables, small repair to title fore-margin, modern morocco-backed boards, [Kress (Supplement) S.595; Tomash & Williams P95; Wing P2505], small 8vo, by A. G. and J. P., 1679.⁂ Rare in first edition. Provenance: Royal Society, London (ink stamp to foot of dedication).

Prodigies.- Colburn (Zerah) A memoir of Zerah Colburn; written by himself, first edition, occasional foxing or staining, preserved in custom drop-back box, Springfield, MASS, 1833 § Binet (Alfred) Psychologie des grands calculateurs et joueurs d'échecs, 8pp. publisher's catalogue at end, original printed wrappers, upper cover becoming detached, preserved in custom drop-back box, Paris, Hachette, 1894, [Tomash & Williams C116 & B154]; and 2 others, similar, 8vo (4)

NO RESERVE Punched card tabulators.- Baehne (George W.) Practical applications of the punched card method in colleges and universities, first edition, plates and illustrations, original cloth, New York, 1935 § Casey (Robert S.) and James W. Perry. Punched cards: their applications to science and industry, second edition, original cloth, dust-jacket, spine ends and corners a little chipped, New York, Reinhold Publishing Corporation, 1958 Blaschke (Ernst) Vorlesungen Uber Mathematische Statistik, ink stamps, plates and illustrations, original cloth, Leipzig, Teubner, 1906, [Tomash & Williams B73, C35 & B178]; and 4 others on the same, 8vo (7)

Rea (Roger) The sector and plain scale compared, first edition, title within double-ruled woodcut border, 3 folding woodcut plates, contemporary calf, some splitting to joints, extremities a little rubbed, [Tomash & Williams R18], J. Cluer for the author, 1717; and another, Stone on sectors, 8vo (2)⁂ Rare.

NO RESERVE Recreational and amateur mathematics.- Arnoux (Gabriel) Arithmétique graphique. Les espaces arithmétiques hypermagiques, folding plate, Paris, 1894 bound with Arithmétique graphique. Introduction a l'étude des fonctions arithmétiques, Paris, Gauthier-Villars, 1906 and Arithmétique graphique. Les espaces arithmétiques, leurs transformations, Paris, Gauthier-Villars, 1908, together 3 works in 1 vol., first editions, half-titles, later cloth-backed boards § De Morgan (Augustus) A budget of paradoxes, first edition, original cloth, spine darkened, spine ends and corners a little bumped and worn, Longmans, Green & Co., 1872, [Tomash & Williams A101, A102, A103 & D33]; and 3 others, similar, 8vo (5)

Babbage (Charles) A Comparative View of the Various Institutions for the Assurance of Lives, first edition, association copy with ink ownership inscription of Henry Prevost Babbage and presentation inscription from Richard H. Babbage, folding table, bookplate to pastedown, contemporary half calf, upper cover detached, upper portion of spine becoming loose, rubbed, [Origins of Cyberspace 36; Tomash & Williams B10; Van Sinderen 26], 8vo, 1826.⁂ Babbage's first substantial published work and the first thorough treatise on actuarial theory. "This volume is illustrative of Babbage's broad range of interests and grew out of his experience as an actuary for the Protector Life Assurance Society. The insurance business was in its infancy at the time, and many companies were being formed in England. The Protector did not, in fact, issue any policies. It was within a few days of opening its doors when, for reasons still not clear, the directors unexpectedly decided to cease business. Rather than a book for the insurance industry, Babbage aimed this volume at the interested layman." - Tomash & Williams.Provenance: Henry Prevost Babbage (1824-1918, the youngest son of the author); Richard H. Babbage (1883-?1971, author's great grandson); Richard Bedford Bennett, 1st Viscount Bennett (1870-1947) (ink inscriptions); J. H. Lea (bookplate).

Rudd (Capt. Thomas) Practical Geometry, in Two Parts: The first, shewing how to perform the foure species of Arithmeticke. The Second, containing a Hundred Geometricall Questions ... A worke very necessary for all Men, first edition, title within decorative woodcut border (tightly bound at inner margin), woodcut initials, head- and tail-pieces and diagrams, a few minor repairs to endpapers, bookplate and "Conservation Record" to pastedown and endpapers, modern calf preserving contemporary upper cover, [Tomash & Williams R122; Wing R2170], 4to, Richard Leybourn for Robert Boydell, 1650.⁂ The rarer of the two imprints (although both scarce at auction).Provenance: Turner Collection, University of Keele (bookplate).

Sand clocks.- Radi (Arcangelo Maria) Nuova Scienza Di Horologi a Polvere Che Mostrano e Suonano Distintamente Tutte l'Hore, first edition, title within engraved architectural border, 3 engraved plates, woodcut initials, occasional scattered spotting or very light browning, staining to endpapers, contemporary limp boards, rubbed, a few neat repairs, [Riccardi ii, 332; Tomash & Williams R2], 4to, Rome, Fabio di Falco for Ponzio Bernandon, 1665.⁂ "This is the first (and perhaps the only) work on sand clocks. It describes a time-keeping mechanism, driven by weights, that is regulated by a large revolving drum gradually spilling sand from one chamber into another. The mechanism includes a system to sound the hours by striking a bell" - Tomash & Williams.

Scheffelt (Michael) Instrumentum proportionum. Das ist: Viel vermehrt Grundlich und sehr deutlicher Unterricht, Wie Durch den so genannten Proportional Zirkul, first edition, title printed in red and black, woodcut initials, head- and tail-pieces, 12 engraved folding plates, spotting, ink name to title, later half vellum, modern label to spine, a little rubbed, [Tomash & Williams S26; VD17 3:308564V], 4to, Ulm, for the Author, 1697.⁂ Important work on the sector that would run to a number of editions. Included are scales for arithmetic, trigonometry, geometrical drawing and the military scales for fortification and solving the calibre problem.

Scheffelt (Michael) Pes mechanicus artificialis, oder neu-erfundener Mass-Stab auf welchem alle Proportiones der gantzen Matheseos ohne muhsames Rechnen, first edition, Gothic letter, title printed in red and black, woodcut initials and head-pieces, engraved frontispiece and 11 plates, spotting, ink stamp to title, modern antique-style vellum ink lettering to spine, preserved in custom drop-back box, [Tomash & Williams S31; VD17 39:121551N], 4to, Ulm, Wagner, for the author, 1699.⁂ Provenance: "Ex bibliotheca Viennensi" (ink stamp).

Scheffelt (Michael) Pes mechanicus artificialis, oder neu erfundener Mass-Stab, first edition, engraved frontispiece and 11 folding plates mounted on stubs, Ulm, Wagner, for the Author, 1699 bound with Instrumentum proportionum, oder Unterricht vom Proportional-Zirkul, second edition, 12 folding engraved plates mounted on stubs, occasional browning, Ulm, Daniel Bartholomaeus, 1708, together 2 works in 1 vol., Gothic letter, titles in red and black, woodcut initials and head-pieces, pencil notes to pastedown, contemporary vellum, [Tomash & Williams S32 & S27; VD17 39:121551N & VD18 11004266], 4to.⁂ Provenance: Cyril Ernest Kenney (1898-1973, book label)

Scheffelt (Michael) Pes mechanicus artificialis, oder neu-erfundener Mass-Stab auf welchem alle Proportiones der gantzen Matheseos ohne muhsames Rechnen, first edition, engraved frontispiece and 11 plates (one folding with neat repair), Ulm, Wagner, for the Author, 1699 bound after Instrumentum proportionum, oder Unterricht vom Proportional-Zirkul, second edition, 12 engraved plates, Ulm, Daniel Bartholomaeus, 1708, together 2 works in 1 vol., Gothic letter, titles printed in red and black, woodcut initials and head-pieces, occasional foxing or light browning, bound in old parchment manuscript leaf, spine a little chipped, [Tomash & Williams S27 (footnote) & S33; VD18 11004266 & VD17 39:121551N], 4to.⁂ Provenance: inscription on title-page dated Helmstedt, 1788.

Babbage (Charles) On a method of expressing by signs the action of machinery [&] On electrical and magnetic rotations, in Philosophical transactions of the Royal Society of London for the year MDCCCXXVI, first edition, 19 engraved plates (5 folding), spotting to plates, unopened, original plain paper wrappers, ink numbering to spine, final gathering and lower wrapper disbound, upper cover becoming loose, spine chipped and worn, preserved in custom drop-back box, [Origins of Cyberspace 37 ("Action of machinery"); Tomash & Williams B33 & B21; Van Sinderen 27-28], 4to, 1826.⁂ The first paper [pp.250-265] is one of the key works in the development of modern computing, Babbage's first formulation and explanation of his mechanical notation system, crucial in the development of his Difference and Analytical Engines. The second [pp. 494-528] is on the magnetic properties of matter. The volume also includes contributions by Herschel, Davy and Faraday.

Schooten (Frans van) Tabulae sinuum tangentium secantium ad radium 10000000, first Latin edition, engraved title with printed overslip in Latin, "nota" leaf at end, bookplate of Harrison D. Horblit to pastedown, contemporary vellum, lacking ties, Amsterdam, Blaeu, 1627 § Vlacq (Adriaan) Tables de sinus, tangentes, secantes: et logarithmes de sinus, tangentes, & nombres depuis l'unité jusques à 10000, diagrams, occasional browning, contemporary vellum, printed paper label to spine, Leiden, Philippe de Croy, 1651, [Tomash & Williams S46 & V25]; and 5 others, tables by the same and similar, 12mo & 8vo (7)

Schooten (Frans van) Tabulae sinuum tangentium secantium ad radium 10000000; met 't gebruyck der selve in rechtlinische triangulen, first French edition, engraved title, light dampstaining to head, book label of Harrison D. Horblit to pastedown, contemporary vellum, Amsterdam, Willem Jansz Blaeu, 1627 § Ordre nouveau, et plus facile que les autres, des tables des sinus, tangentes & secantes, title with woodcut device, ink stamps to foot of title, contemporary vellum, upper joint repaired at foot, Lyon, Claude Rigaud & Claude Obert, 1628 § La Caille (Nicolas-Louis de) Tables de logarithmes pour les sinus & tangentes de toutes les minutes du quart de cercle, & pour tous les nombres naturels depuis 1 jusqua' à 10800, first edition, contemporary calf, joints cracked but holding firm, Paris, Hippolyte-Louis Guérin & L.F. Delatour, 1760, [Tomash & Williams S47, M62 & L1]; and 3 others, tables by the same and similar, 12mo & 8vo (6)

Schott (Gaspar) Cursus Mathematicus, sive Absoluta omnium mathematicarum disciplinarum encyclopedia, first edition, double column, woodcut initials, head- and tail-pieces and diagrams, engraved additional title page, folding engraved table and 41 plates (some folding), engraved title cropped at outer margin, small ink stamp to printed title, browning, heavy in places, later vellum, title in manuscript on spine, a little soiled, endpapers renewed, preserved in custom drop-back box, [Tomash & Williams S54; VD17 12:196809B], folio, Wurzburg, Heirs of Martin Schonwetter, 1661.⁂ Includes chapters on varied subjects such as astronomy, geography, horology, mechanics, hydrostatics, optics, military architecture, music and surveying.Provenance: "Colloredo" (ink stamp to title).

Sems (Johan) Practica des landmessens. Darinnen gelehrt wirdt, wie man alle recht und krumseitege land, wäldt, baumgärten und andere felder, so wol mit hülff des quadranten als ohne denselben messen soll, translated by Sebastian Curtius, first German edition, Gothic letter, title with engraved vignette, woodcut initials and diagrams, folding engraved plate, occasional light browning, 20th century half vellum, [Tomash & Williams S84; VD17 39:121321G], small 4to, Amsterdam, Willem Jansz Blaeu, 1616.⁂ "Sems and Dou were surveyors in Leiden. Dou was also well known to be a skilled cartographer... This book and its companion (Von dem gebrauch der geometrischen instrumenten, 1616) form a single work on the theory and practice of surveying. The two were issued separately, but simultaneously, and are quite often found bound together." - Tomash & Williams.

Smith (Thomas) Quorundam Eruditissimorum et Illustrium Virorum. Quorum nomina exstant in pagina sequenti, first edition, engraved portrait frontispiece, title with woodcut portrait of Erasmus, woodcut initials and head-pieces, contemporary speckled calf, spine gilt, some cracking to head and foot of joints, [Tomash & Williams S151], 4to, David Mortier, 1707.

Stadius (Johannes) Tabulae Bergenses aequabilis et apparentis motus orbium coelestium... Item de fixis stellis commentarius, first edition, woodcut portrait vignette on title, woodcut initials and tables, browning and dampstaining, contemporary vellum, rebacked, extremities repaired, soiled, [Tomash & Williams S176; VD16 S8483], folio, Cologne, heirs of Arnold Birckmann, 1560.⁂ A compendium of astronomical tables, named after the author's patron, the prince Bishop of Liège, Robert de Bergues, in pompous imitation of the Alfonsine tables. It includes "De fixis stellis commentarius" an update of Ptolemy's astrological star catalogue for 1560.

Sundials.- Clavius (Christoph) Gnomonices libri octo, first edition, title within engraved architectural border, woodcut initials, head- and tail-pieces and diagrams, printers device above colophon, occasional very light marginal dampstaining and minor browning, bookplates and book labels to pastedown, ink stamp to title and final f., contemporary vellum, title in manuscript to spine, joints splitting, a few wormholes to covers, lacking 4 pairs of ties, [Edit16 12671; Tomash & Williams C101], folio, Rome, Francesco Zanetti, 1581.⁂ First edition of the most important and substantial work on gnomonics published to that date.Provenance: "Abbatiae Carcerum" (i.e. the abbey of Santa Maria delle Carceri (near Padua), engraved bookplate on inside covers); Rev. Antonio de Lazzaris, canon of the Congregation of San Giorgio (inscription on inside front cover); "TA" (red monogram stamp).

Surveying.- Wing (Vincent) Geodætes practicus: or, The art of surveying, first edition, woodcut initials head- and tail-pieces, tables and diagrams, 2 engraved plates (1 folding), H6 a cancel (stub visible), occasional light spotting, 20th century calf, [Tomash & Williams W91; Wing W2991], 8vo, William Leybourn for George Sawbridge, 1664.⁂ Rare. One of the first books of surveying to be written for use as a handbook.

Babbage (Charles) Table Of Logarithms Of The Natural Numbers, From 1 To 108000, first edition, second issue with errata following the preface, presentation copy with ink inscription "To Professor Magistrini &c. Bologna with the Author's Compliments" to front free endpaper, printed on yellow paper, original boards, printed paper label to spine, neatly rebacked, with original spine laid down, preserved in custom drop-back box, [Tomash & Williams B54], large 8vo, B. Fellowes, 1829.⁂ Babbage's interest in calculating machines arose from his desire to mechanically compute sets of mathematical tables and thus eliminate the errors that inevitably crept into them when they were calculated and typeset by hand. He created this table of logarithms not by calculating them, but by comparing many different tables against one another. When differences were noted he would recalculate the correct value, thus producing the first error-free table of logarithms" - Tomash & Williams. Provenance: Professor Giovanni Battista Magistrini (1777-1849, Italian mathematician at the University of Bologna and a member of Accademia nazionale delle scienze, presentation inscription)

NO RESERVE Time measurement.- Ungerer (Alfred) Les horloges astronomiques et monumentales les plus remarquables de l'Antiquité jusqu'à nos jours, first edition, illustrations, later green cloth, Strasbourg, 1931 § Littrow (Joseph Johann von) Calendariographie oder Anleitung alle Arten Kalender zu verfertigen, Gothic letter, Library of Congress duplicate stamp to endpaper, library cloth, Vienna, J. G. Heubner, 1828, [Tomash & Williams U2 & L118]; and 2 others, similar, 4to & 8vo (4)

Vega (Georg, Freiherr von) Logarithmische, trigonometrische, und andere zum Gebrauche der Mathematik eingerichtete Tafeln und Formeln, first edition, title within decorative woodcut border, tables, contemporary half calf, rubbed, [Tomash & Williams V6; VD18 15334872], 8vo, Vienna, Johann Thomas Edlen von Trattnern, 1783.⁂ First edition of the first of Vega's famous sets of tables. Vega was so confident of their accuracy that he promised a gold ducat for every error brought to his attention.

Babbage (Charles) On the economy of machinery and manufactures, third edition, engraved title, original cloth, spine a little darkened, 1833; Traité sur l'économie des machines et des manufactures, first French edition, foxing, contemporary boards, a little worn, Paris, Bachelier, 1833; Tratado de mecánica práctica y economia politica, first Spanish edition, engraved frontispiece, contemporary calf, Madrid, 1835, [Tomash & Williams B19, B62 & B63]; and 3 others, machinery and manufactures, 8vo (6)

Vlacq (Adriaan) Arithmetique Logarithmetique ou la Construction et Usage d'une Table Contenant les Logarithmes de tous les Nombres depuis l'Unite jusques a 100000, first edition in French, title printed in red and black, woodcut initials and head-pieces, diagrams and tables, occasional browning, 20th century antique-style calf, preserved in custom drop-back box, [Tomash & Williams V22], folio, Gouda, Pierre Rammasien, 1628.⁂ Vlacq's famous tables that would, along with those of Henry Briggs, form the basis from which almost all other logarithm tables were produced. The tables here were printed in the same run as those from the Latin 'true' first edition from the same year.

Vlacq (Adriaan) Trigonometria artificialis: sive magnus canon triangulorum logarithmicus, ad radium 100000,00000, first edition, half-title, woodcut diagrams, ink inscription to dedication f. "Ex libris monasterii S. Petri Melodunensis... 1655", bookplate of Turner Collections, University of Keele to pastedown, later library buckram, Gouda, Pieter Rammazeyn, 1633 § Callet (Jean-François) and William Gardiner. Tables portatives de logarithmes, contenant les logarithmes des nombres, depuis 1 jusqu'à 108000, half-title, upper hinge cracked, contemporary calf, gilt, rubbed, g.e., Paris, Firmin Didot, 1795 § Bord (Charles de) and Jean Baptiste Joseph Delambre. Tables trigonométriques decimals, contemporary half calf, spine rubbed, upper joint cracked at head, Paris, [1801], [Tomash & Williams V30, C15 & B207]; and 2 others, tables by the same or similar, v.s. (5)

Ward (John) The Lives of the Professors of Gresham College: to which is prefixed the life of the founder, Sir Thomas Gresham. With an appendix, consisting of orations, lectures, and letters, written by the professors, with other papers serving to illustrate the lives, first edition, engraved frontispiece (small portion of outer margin torn away) and 4 plates ( 2 folding), list of subscribers, some light offsetting, occasional marginal spotting, contemporary ink ownership inscription to head of title, contemporary calf, sympathetically rebacked, new endpapers, [Tomash & Williams W11], folio, John Moore for the Author, 1740.Provenance: "E Lib. Anton Scarlett Ao 1740" (ink inscription).

Wolff (Christian Johann von) Mathematisches Lexicon, first edition, Gothic letter, title printed in red and black, diagrams and illustrations, engraved frontispiece, ink stamp and inscription to title, bookplate, contemporary calf, Leipzig, Johann Friedrich Gleditsch, 1716 § Heilbronner (Johann Christoph) Versuch einer mathematischen Historie, erster Theil, Gothic letter, browning, eighteenth-century blue wrappers, uncut, preserved in custom drop-back box, Frankfurt und Leipzig, Samuel Wohler, 1739, [Tomash & Williams W104; H95], 8vo (2)

Babbage (Charles) Sulla economia delle macchine e delle manifatture, first Italian edition, original printed wrappers, spotted and creased, preserved in custom drop-back box, Florence, Presso Guglielmo Piatti in Vacchereccia, 1834; Ueber Maschinen un Fabrikenwesen, first German edition, ink stamps, later calf-backed boards, Berlin, Stuhrschen Buchhandlung, 1833, [Tomash & Williams B15 & B31]; and 2 others, Babbage in Italian and German, 8vo (4)

Babbage (Charles) Letter From Mr Babbage To The Members Of The British Association For The Promotion Of Science, first edition, the odd spot, original wrappers a little soiled, splitting to joint ends, [Tomash & Williams B28; Van Sinderen 53], 8vo, Richard Clay, 1839.⁂ Rare. Babbage's account of the circumstances surrounding the withdrawal of his and Herschel's names to stand for President of the British Association for the Promotion of Science.