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London: Printed for A. Millar..., 1750. 8vo, 202 x 214 mms., pp. [xii], xxvi, 412, including half-title, 6 folding engraved plates, contemporary calf, gilt border on covers, red leather label; top of spine chipped, burn mark on front cover,slight general wear, but a very good copy with an unidentified armorial bookplate on the front paste-down end-paper, "Bell 1763" on the top margin of the recto of the front free end-paper adn "Bell 6d. of Mr. Mapletoss" on the top margin of the following leaf. The mathematician and natural philosopher Colin Maclaurin (1698 - 1746) met Newton in 1718 or 1719; Newton encouraged the young mathematician, and his Geometria Organica was published under Newton's imprimatur in 1720. The present work was published posthumously in 1748, two years after the author's death. "MacLaurin discusses Newton's method of investigation and of 'philosophizing', as well as his discoveries, and begins with a long history of natural…
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An Account of Sir Isaac Newton's Philosophical Discoveries. In Four Books. Published from the Author's Manuscript Papers. The Second Edition
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Calculation, Libration, and Mensuration: Or the Arts of Reckoning, Weighing, and Measuring. Being a Mechanical Work, adapted To the Business and Practice of Tradesmen and Artificers, in the shortest Method possible, and designed purely for common Use
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London: Printed for J. Nourse..., 1770. FIRST AND ONLY EDITION. 8vo, 205 x 130 mms., pp. [ii], v [sic, for iv], 7 - 168, 3 folding engraved plates, disbound. Emerson (1701 - 1782), a thoroughly practical man writes in the preface that mathematics is in daily use, but, "to oblige the lower sort of readers (for everyone is not destined to study the sublime parts of the Mathematicks) I have composed the following Treatise." One would guess that the "lower sort of readers" consisted of about 90 per cent of people in the 18th century who bought books. Part II is on "Geometrical Problems, and the Measuring of Lines" and describes a "Sliding rule" and its use.
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A Complete Treatise on Practical Mathematics: Including the Nature and Use of Mathematical Instruments: Logarithmic Tables. Trigonometry. Mensuration of Heights and Distances; Of Surfaces & Solids. Land-Surveying. Gunnery. Gauging. Artificer's Measuring. Miscellaneous Exercises. With an Appendix on Algebra. The whole conducted on the most approved plan, with proper Rules, and a variety of suitable Examples to each rule. Principally designed for the use of schools and academies
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Edinburgh: Printed for Bell and Bradfute, and G. G. J & J. Robinson, London, 1792. FIRST EDITION. 8vo, pp. xii,64, [1], 58-117, [4], 114-431 [432 blank], 9 (ex 10?) folding engraved plates at end, contemporary sheepskin, red leather label; first few pages very soiled, rest of text, rest of text occasionally finger, folding plates creased and worn, binding a bit rubbed and worn, an insalubrious copy. ESTC T90812 locates copies in the BL, NLS, Cambridge, Bodleian; and University of Waterloo Libraries, University of Michigan Libraries, Library Company of Philadelphia.
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The Doctrine of Combinations, Permutations, and Compositions of Quantities, Clearly and succinctly demonstrated
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London: Printed for J. Nourse..., n. d. [1770]. FIRST AND ONLY EDITION. 8vo, 205 x 130 mms., pp. [iv], 29 [30 blank], disbound; inner margin of title-page repaired, title-page slightly soiled, and with slight staining to inner margins. Emerson (1701 - 1782) began his association with John Nourse in 1763, and he wrote a number of introductory mathematical texts for him. His topic here is permutations, later denominated factorials; Christian Kramp introduced the notation n! for factorials in 1808.
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Elemens d'Arithmetique. d'Algebre, et de Geometrie, Avec une Introduction aux Sections coniques. Ouvrage utile pour fair entrer dans l'esprit de ces Sciences & pour disposer a l'etude de la Physique & des Sciences Physico-Mathematiques. Cinquieme Edition, Revue & corrigee par l'Auteur
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A Paris, Chez. Ph. D. Pierres..., 1774. 8vo, pp. xii, 530 [531 - 532 errata], 16 folding engraved plates at end, contemporary sheepskin, gilt spine, morocco label; plates a little frayed at edges and some worming of margins, slight water-staining of lower portion of first 20 leaves of text, corners worn, with lower front cover damaged.
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A Key to Bonnycastle's Introduction to Mensuration; Containing the solution to all the questions in that work conformable to the present improved state of the science. With references to the problems, rules, and notes, by which the solutions are obtained.
by MAYNARD (Samuel):
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London: Printed for Longman and Co... [et al], 1837. . FIRST EDITION. 12mo, pp. xii, 121 [122 blank, 123 adverts, 124 blank], contemporary sheepskin, recent leather reback.
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La Maniere Universelle de Mr. Desargues lyonnais pour poser l'essieu et placer les heurs et autres choses aux Cadrans au Soleil
by DESARGUES (Girard). BOSSE (Abraham):
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Paris de l'imprimerie de Pierre Des-Hayes, ruë de la Harpe, à la Roze Rouge 1643. 8vo, 171 x 106 mms., pp. [viii], 68, engraved title-page preceding printed title-page, which is followed by engraved dedication page, 28 engraved leaves of geometrical designs, engraved on recto and verso except for the last leaf, recently rebound in full modern speckled calf, gitl borders on covers, spine ornately gilt in compartments, red morocco label; some few leaves and plates stained mainly at margins, some light spotting and staining, inner margin of last leaf repaired, but a very attractive copy Girard Desargues (21 February 1591 September 1661) was a French mathematician and engineer, who is considered one of the founders of projective geometry. Desargues' theorem, the Desargues graph, and the crater Desargues on the Moon are named in his honour. Martin Kemp in The Science of Art (Yale, 1990), states that Desargues' "greatest perspectivist and projective geometer of his…
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The Mariner's New Calendar. Containing The Principles of Arithmetic and Practical Geometry; with the Extraction of the Square and Cube Roots: Also Rules for finding the Prime, Epact, Moon's Age, Time of High-Water, with Tables for the same. Together with Exact Tables of the Sun's place, Declination, and Right-Scension.... Also The Use of the Sea-Quadrant...With Directions for sailing into some Principal Habours.... The whole revis'd, and adjusted to the New Stile, By William Mountaine
by COLSON (Nathaniel):
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London: Printed for W. and J. Mount, T. Page & Son..., 1759. Small 4to, 200 x 142 mms., pp. 136, including half-title, old ownership notice loosely inserted, recently rebound in quarter calf, marbled boards, black leather label; text browned, with some water-staining in first 25 leaves, outer margins a bit worn. The first edition of this work appears to have been published in 1676, and there were at least another 38 editions published in the 18th century. Although ESTC records printings in 1758 and 1760, this printing with 1759 in the imprint does not appear.
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Mathematical Essays. The Second Edition, with Additions
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Cambridge, Printed by J. Archdeacon...For J. & J. Merrill..., 1787. 8vo, 202 x 126 mms., pp. [ii], 97 [98 blank], 3 folding engraved plates at end, modern floral motif wrappers. A very good copy. The theologian and mathematician William Ludlam (1717 - 1788) achieved some distinction with his skills in mathematics, astronomy, and practical mechanics. The two essays on ultimate ratios and the power of the wedge were first published in 1770, and that on Newton's second law of motion in 1780. An essay on the properties of the cycloid and on one of the propositions in Newton's Principia are new to this edition. ESTC T125052 locates 14 copies in UK libraries; and American Philosophical Society, Harvard, Library Company of Philadelphia, Stanford, LC in the USA, as well as one at Monash. OCLC adds Cornell.
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The New Complete System of Arithmetick, Composed for the Use of the Citizen of the United States. Abridged for the Use of Schools. Fifth Edition.
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Boston [Massachusetts]: Printed by J. T. Buckingham, For Thomas & Andrews, 1804. 12mo (in 6s), pp. [6] - 352, contemporary sheepskin; text fingered, soiled, and browned, binding rubbed and wormed on rear cover.
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A New Mathematical Dictionary: Wherein is contain'd, not only the Explanation of the Bare Terms, But likewise an History of the Rise, Progress, States, Properties, &c. of Things, Both in Pure Mathematics, and Natural Philosophy, So far as these last come under a Mathematical Consideration. The Second Edition, with Large Additions
by STONE (Edmund):
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London: Printed for J. Senex, W. and J. Innys, J. Osborn, T. Longman, and T. Woodward. 1726. FIRST EDITION. 8vo, 193 x 120 mms., pp. [400], numerous illustrations in text, contemporary tree calf, expertly rebacked in matching calf, gilt rules on spine, red morocco label, a very good to fine copy. With various ownership inscription and annotations: inn a 19th century hand on the front pasted-down end-paper, "Mr Kincaid/ Compliments of/ Emeline M. North"; in an 18th century hand, "Mills" on title-page and "John Mills" twice on recto of following leaf; and marginal notes in ink on leaves about the telescope. Emmeline M. North Whitcomb (d. 1925) American educator, teacher, and President of the Association of Pioneer Women of California. The self-taught mathematician Edmund Stone (1700 - 1768) also learned Latin and Greek in order to read various mathematical works. He published his New Mathematical Dictionary in 1726; this second edition was published two years before…
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A New Mathematical Dictionary: Wherein is contain'd, not only the Explanation of the Bare Terms, But likewise an History of the Rise, Progress, States, Properties, &c. of Things, Both in Pure Mathematics, and Natural Philosophy, So far as these last come under a Mathematical Consideration. The Second Edition, with Large Additions
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London: Printed for W. Innys, T. Woodward, T. Longman, and M. Senex, 1743. 8vo, 202 x 123 mms., pp. xii, [524], numerous illustrations in text, contemporary tree calf, expertly rebacked in matching calf, gilt rules on spine, red morocco label, a very good to fine copy. The self-taught mathematician Edmund Stone (1700 - 1768) also learned Latin and Greek in order to read various mathematical works. He published his New Mathematical Dictionary in 1726; this second edition was published two years before he was made a Fellow of the Royal Society. Stone's work continued to be of interest to mathematicians throughout the 18th century and into the 19th; for literary scholars, its importance lies in its function as a source used by Dr. Johnson in compiling his Dictionary of the English Language (1755). William Prideaux Courtney and David Nichol Smith: A Bibliography of Samuel Johnson(Oxford, 1915; reprinted 1968), page 44.
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Sectionum Conicarum Libre Quinque. Editio Secunda, Emendatior & Auctior
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Edinburgi: Apud W. Sands, A. Murray, & J. Cochran. Sumptibus W. Sands, & A. Kincaid. 1750. 4to, 250 x 187 mms., pp. viii, 224, 38 folding engraved plates, contemporary calf; joints cracked (but holding, top and base of spine chipped, corners worn, spine rubbed. A very modest copy. Simson (1687 - 1768) published this work in 1735, but he had begun his intellectual career as a classicist. He began his studies at Glasgow University in 1701, and ten years later, he was offered the chair of mathematics, at the age of 24, having just acquired his first degree in the subject. ODNB notes that he published the present work " partly intended as an introduction to the treatise by Apollonius of Perga on the subject; here Simson employed methods of pure geometry rather than algebra. In 1738 he completed the restoration of the 'Loci plani' of Apollonius, a task already attempted by Fermat before 1629 and by Francis Schooten in 1657; his conclusions were published in 1749 in a work…
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Trattato della pratica di Geometria. In cui oltre i principi di essa vi sono molti insegnamenti intorno alle varie Misure di Terre, Acque, Fieni, Pietre, Grani, Fabbbriche, ed Altor, Seconde l'uso di Verona, e dit altre Citta d'Italian, raccolti dall'Opere di molti Autori, e dall' Experienza a comodo degli Studiosi di tal Profession da Lodovico Perini Pubblico Ingegnere, ed Architetto Veronese
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In Verona, Per Pierantonio Berno Stampatore, e Librario nella Via de' Leoni, 1727. 4to, 22 x 150 mms., pp. [x], 152, with woodcut vignette on title-page, and numerous engraved vignettes in text, original limp paper boards, with title in ink (but faded) on front cover, visible stitching; front hinge open with cords exposed, covers a bit soiled, small defects on spine, but a reasonable copy with a very clean text. This was one of the last publications of the gifted architect and mathematician, Lodovico Perini (1685 - 1731). He studied practical geometry and perspective with the Gasparo Bighignato guide and later Domenico Rossetti. Perini aimed to make the principles of geometry applicable to practical activities and undertakings in land management, surveying, architecture, etc. The woodcut engravings in the text provide very useful visual guides to measuring dimensions, calculating volume, and constructing tools and implements.
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A Treatise on Shades and Shadows, and Linear Perspective. Second Edition.
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New York, Wiley & Putnam, Collins, Keese, & Co...., 1838. Davies' work was first published in 1832. He was Professor of Mathematics at West Point Military Academy. When the first edition was published, the reviewer in The New England Magazine for May 1832, observed, "No man should presume to criticise even a painting or engraving unless he has studied perspective.... Mr. Davies's book...is the best of its kind, yet published, and the demonstrations are as plain and concise, almost, as the subject will admit." Small wonder, then, that an engineer who was also, though an amateur, a highly-accomplished and, indeed, historically-important architect would have a book like this in his collection. John B. Clarke, Sketches of Successful New Hampshire Men (1882), pp. [9]-13; and Bryant F. Tolles, New Hampshire Architecture: An Illustrated Guide (1979), p. 91.
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