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Rare and Antiquarian Books

Mathematics

From antique books co-authored by Archimedes to more modern tomes on the math of astronomy, there are plenty of rare and antique math books for anyone who is passionate about the study and practice of mathematics. Our booksellers have collected a fantastic selection of rare math books that can be found below in the Biblio Rare Book Room, including various ephemera and signed documents sure to increase the value of anyone's rare and antique book collection.

Results 1 - 15 of 125
Essai sur les Probabilités de la Durée de la Vie Humaine
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Essai sur les Probabilités de la Durée de la Vie Humaine

by DEPARCIEUX, Antoine

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  • Fine
  • Hardcover
  • first
Condition
Used - Fine
Edition
1st Edition
Binding
Hardcover
Seller
Ritterhude, Germany
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A$5,036.40
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Paris: H.L. Guerin & L.F. Delatour, 1746. 1st Edition. Hardcover. Fine. 1st Edition. Hardcover. 4to - over 9¾ - 12" tall. Essai sur les Probabilités de la Durée de la Vie Humaine; d'où l'on déduit la maniere de déterminer les Rentes viageres, tant simples qu'en Tontines: Précédé d'une courte Explication sur les Rentes à terme, ou Annuités... Paris: Guerin Bros., 1746. Finely engraved arms in vignette at head of dedication. 22 Tables in the text. vi, [2], 132, [32], i-xxii, [1] pp. [bound with]: IDEM. Addition a l'Essai sur les Probabilités de la Durée de la Vie humaine... avec quelques Listes ou Ordres de mortalité du genre humaine. Paris: H.L. Guerin & L.F. Delatour, 1760. [5], 5-32 pp., 1 folding table. [bound with]: (-). [Drop-title]: Objections faites à M. Deparceiux... sur son Livre des Probabilités de la durée de la vie humaine; avec les… Read More
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Monumenta omnia mathematica (1685) + Opera quae extant (1615)
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Monumenta omnia mathematica (1685) + Opera quae extant (1615)

by ARCHIMEDES Syracusani [ Maurolico ]

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  • Fine
  • Hardcover
  • first
Condition
Used - Fine
Edition
1st Edition
Binding
Hardcover
Seller
Ritterhude, Germany
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A$7,050.96
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Panormi [Palermo]: apud D. Cyllenium Hesperium, sumpt. Antonini Giardinae bibliopolae Panorm, 1685. 1st Edition. Hardcover. Fine. 1st Edition. Hardcover. Folio - over 12 - 15" tall. Monumenta omnia mathematica, quae extant, quorumque catalogum inuersa pagina demonstrat : ex traditione ... D. Francisci Maurolici ... opus præclarissimum, non priùs typis commissum [ed. J. S. Salva]. Folio (309x213 mm). [8], 296 pp., title page printed in red and black with large woodcut device, many woodcut diagrams in text, blanks present. Bound at the end are two excerpts (complete in itself) from Archimedes' Opera quae extant (edited by David Rivault, Paris: Claude Morel, 1615), in parallel Latin and Greek text with several woodcut ills. and diagrams: (1) Planorum Aequiponderantium, seu centra gravitatum planorum, pp. 145-218; (2) De insidentibus humido libri duo..., pp. 487-549 (1:blank). Near contemporary calf (rubbed and scuffed at extremities, but binding sound and strong), gilt spine with… Read More
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Opera Geometrica [De sphaera et Solidis Sphaeralibus; De Motu Gravium; De Dimensione Parabolae]
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Opera Geometrica [De sphaera et Solidis Sphaeralibus; De Motu Gravium; De Dimensione Parabolae]

by TORRICELLI, Evangelista

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  • Fine
  • Hardcover
  • first
Condition
Used - Fine
Edition
1st Edition
Binding
Hardcover
Seller
Ritterhude, Germany
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A$20,145.60
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Florence: Amadoro Massa & Lorenzo de Landis, 1644. 1st Edition. Hardcover. Fine. 1st Edition. Hardcover. 4to - over 9¾ - 12" tall. 3 parts in one, 4to. (220x158 mm), [2], [2:blank], [1-2] 3-243 [1], [1-2] 3-115 (i.e. 151) [1] pp., general half-title, part I title with imprint, section titles to parts II & III, dedication to Grand Duke Ferdinand II de' Medici, part III separately signed & paginated with separate dedication to Prince Leopold de' Medici, imprimatur leaf at end, numerous small woodcut diagrams, one full-page engraving, letterpress tables, numerous mispaginations. Internally clean and unspotted, light browning (mainly marginal), contemporary vellum with old ms. mathematical notations on covers. A fine, unsophisticated copy, collated complete. ---- Honeyman VII 2991; Norman 2086; PMM 145; Riccardi II 542; Carli-Favaro 43 (204); Cinti 226 (114). - FIRST EDITION of the only work published during Torricelli's lifetime. A brilliant mathematician, Torricelli was Galileo's assistant and… Read More
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A$20,145.60
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Prattica D'Algebra Di Antonio Biondini
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Prattica D'Algebra Di Antonio Biondini

by Antonio Biondini

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  • Hardcover
  • first
Condition
Used - Very Good -
Binding
Hardcover
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Waccabuc, New York
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A$15,413.00
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Venice: Battista Tramontin, 1689. Vellum. Very Good -. The very scarce 1689 original printing of Antonio Biondini's "Prattica D'Algebra" ("Treatise of Algebra"). Published in Venice in its commonly-read Latin, the original vellum binding is still strong and firmly in place. Forgivable spotting and staining to the panels, internally the pages are surprisingly clean and bright. Octavo, decorative mottled edges. (Cited in "History of Mathematics", Vol. II, pg. 409, David Eugene Smith, Ginn and Company, Boston, 1923).
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The construction and principal uses of mathematical instruments : Translated from the French of...
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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; ... By Edmund Stone. The whole illustrated with twenty-six folio copper-plates

by BION, Nicolas

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  • Hardcover
  • first
Condition
Used
Edition
First
Binding
Hardcover
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COLUMBIA, Missouri
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1723 1st ed Mathematics Instruments Bion Engineering Science Navigation PhysicsRare 1st English edition of Bion's famous mathematics treatise!'The Construction and Principal Uses of Mathematical Instruments' is an important mathematics treatise by Nicolas Bion which is considered "the most famous book devoted to instruments." (Knight). Bion was a 17th-century engineer and math tool maker who was well-known for being the king's engineer.This 1723 first English edition includes all 26 full-page and folding engravings – a highly desirable book! Illustrations in this book depict navigational tools such as compasses, ships and ship masts, armillary spheres, and protractors; it also includes maps, clocks, sundials, globes, vacuum pumps, pendulums, mirrors, telescopes, and more!Item number: #5166Price: $2500BION, NicolasThe 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… Read More
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Nuovo Lume: Libro di Arithmetica…Con uno Breve Trattato di Geometria...Composto per lo...
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Nuovo Lume: Libro di Arithmetica…Con uno Breve Trattato di Geometria...Composto per lo Acutissimo Prescrutatore delle Archimediane & Euclidiane Dottrine.

by Sfortunati, Giovanni

  • Used
  • Hardcover
  • first
Condition
Used
Edition
First edition of this treatise on arithmetic for merchants. Sfor
Binding
Hardcover
Seller
Los Angeles, California
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A$11,559.75
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[Venice: Nicolo di Aristotile detto Zoppino,], 1534 First edition of this treatise on arithmetic for merchants. Sfortunati, whose dates are not recorded, was a Siena-born teacher of arithmetic who worked through much of Italy and Sicily. His book, which went into at least six more editions by the year 1568, was influential, being one of the main sources for Tartaglia's General trattato de' numeri et misure, which has been called the best treatise on arithmetic to appear in the sixteenth century. Contemporary limp vellum, modern paper spine label, later front endpapers. Quarto. Title within a woodcut border, divided into four panels. Title printed in black and red. Text with many mathematical calculations printed in the outer margins. Title a bit soiled, lower margins of first three leaves with repaired worming, lower outer corner of some leaves with an old, faded dampstain. a few light brown stains. Still, a very good copy of a rare book. Riccardi emphasizes the rarity of the first edition: "Questa… Read More
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Arithmetica universalis,
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Arithmetica universalis,: sive de compositione et resolution arithmetica liber. Cui accessit Halleiana aequationum radices arithmeticae inveniendi metodus...

by [Newton, Isaac; William Whiston; Edmond Halley].

  • Used
  • very good
  • Hardcover
  • first
Condition
Used - Very Good
Edition
First edition
Binding
Hardcover
Seller
Tuxedo Park, New York
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A$30,826.00
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Cambridge and London: Typis Academicis; Benj. Tooke, 1707. First edition. Very Good. Octavo (19cm); [8], 343, [1] pages (the last page blank) . Figure and diagrams in text. Running-title: Algebrae elementa. Editor's preface signed: G.W. [i.e. William Whiston]. In contemporary paneled calf, rebacked with new burgundy morocco spine label. Edges of boards rubbed. Early ink ownership inscriptions on blank endleaves (the contemporary autograph of Edward Harington, and the 19th-century mathematician William Fleetwood Sheppard). Half-title present. References: Babson Newton Collection; 199; ESTC; T018645; Bowes and Bowes, 277. William Whiston (the successor to Newton's chair at Cambridge) "extracted from Newton a somewhat reluctant permission to print" this remarkable "schoolbook" based on Newton's lecture notes (Babson Catalogue). So reluctant, in fact, that Newton kept his name out of it, and supposedly considered purchasing the press run in order to destroy it! (He later republished it himself.)… Read More
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Opticks
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Opticks: Or, a Treatise of the Reflections, Refractions, Inflections and Colours of Light.

by Isaac Newton

  • Used
Condition
Used
Edition
Second Edition
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Great Barrington, Massachusetts
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Illustrated with 12 folding engraved plates of optical/geometrical diagrams and a few woodcut diagrams and tables in text; large woodcut decorative tail-pieces, head-pieces and initials. 8vo. Contemporary full speckled calf; boards with double-fillet gilt-ruled borders; spine with five raised bands and gilt-lettered (faded) morocco label; edges speckled red. London: Printed for W. and J. Innys, printers to the Royal Society, 1718. Second English Edition revised and enlarged by Newton. First Octavo Edition. Second issue, with the title-page dated 1718 (the very rare first issue is dated 1717). The first edition appeared in 1704 in quarto. For this second edition the plates were newly engraved to fit the new octavo format. The most important feature of this second edition is that the number of Queries at the end was increased from 16 to 31, including the celebrated Query 28 on the nature of light. The Queries in the initial set were rather brief, but the later ones became more substantial, written as… Read More
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MELEKET MAHSHEBET(HEBREW) - OPUS BIPARTITUM  CUIUS PARS I- IR HESHBON- I.E. ARITHMETICAM &...
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MELEKET MAHSHEBET(HEBREW) - OPUS BIPARTITUM CUIUS PARS I- IR HESHBON- I.E. ARITHMETICAM & ALGEBRAM. PARSII. BERUREI MIDOT I.E. GEOMETRIAM .. 2 VOLUMES TOGETHER (COMPLETE)

by Gerson, R. Elias - Elijah ben Moses Gershon Zahalon - MATHEMATICS IN HEBREW

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  • very good
  • Hardcover
  • first
Condition
Used - Very Good
Edition
First Edition
Binding
Hardcover
Seller
Tel-Aviv, Israel
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A$3,853.25
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Frankfurt & Berlin: J.J. Speier, 1765. First Edition . Half Leather. Very Good. 4to. 1. Theil und 2. Theil bound together. 124pp+123pp.First part called "'Ir Heshbon," on Arithmetic and Algebra; the second part : "Berure Middot," on Geometry. MODERN HALF LEATHER BINDING WITH MARBLED BOARDS. Title page with stamp, , some old handwriting and markings. Upper corner of title page some 3 cm missing and replaced with old repair. Pages with some browning and occasional minor soiling. First pages of the second part trimmrd to text. Last page of the second part with repair to edges, End papers with some old writing and minor soiling . OTHERWISE VERY GOOD.AN EXTREMELY RARE AND INTERESTING WORK of MATHEMATICS in HEBREW. (this work is mentioned in Zeitlkin, Bibliotheca Hebraica....)- Elijah ben Moses Gershon Zahalon was a Jewish Talmudist, mathematician and physician living in Pinczcow, Russian Poland.
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Theory of Games and Economic Behavior
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Theory of Games and Economic Behavior

by Von Neumann, John and Morgenstern, Oskar

  • Used
  • very good
  • Hardcover
Condition
Used - Very Good
Edition
Second Edition
Binding
Hardcover
Seller
Bloomington, Indiana
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A$4,623.90
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Princeton, N.J.: Princeton University Press, 1947. Second Edition stated, 1947. From the collection of George J. Stolnitz, long time Professor of Economics at Indiana University and nationally recognized demographer, with his 16 page undated notebook in his pencil handwriting titled "Seminar on Theory of Games" with the first 8 pages filled with his notes in pencil. Returning to Princeton in 1946 following wartime service in the Air Force, Stolnitz was a research associate at OPR, received his Ph.D. in economics and demography in 1952, and taught economics there until 1956. Von Neumann and Morgenstern led the Seminar on Theory of Games at Princeton from 1949-1955. With first 115 pages of book also annotated in pencil by Stolnotz. Very Good, lacking the dust jacket, spine slightly sunned. A unique copy of this classic text given the close prior owner's association to the authors. . Second Edition. Cloth. Very Good/No Jacket. 8vo - over 7¾" - 9¾" tall.
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Epitome Astronomiae, qua brevi explicatione omnia, tam ad Sphaericam quam Theoricam eius partem...
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Epitome Astronomiae, qua brevi explicatione omnia, tam ad Sphaericam quam Theoricam eius partem pertinentia, ex ipsius scientiae fontibus deducta, perspicue per quaestiones traduntur...

by [KEPLER]. II - MAESTLIN, Michael.

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  • Hardcover
  • first
Condition
Used
Binding
Hardcover
Seller
Paris, France
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A$47,006.40
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Heidelberg, Jacobus Milius, 1582.
(17) ll., (1) bl. l., 495 pp., (1) p. and 6 folding plates.
[Preceded by:]
I - Peucer, Caspar. Elementa doctrinae de Circulis coelestibus et primo motu, recognita et correcta.
Wittenb., Joh. Crato, 1576.
(8) ll., 304 pp. (gap in the pagination without loss), 8 folding plates.
Two astronomical works bound in one volume 8vo [155 x 98 mm], full overlapping ivory vellum, remains of ties, flat spine contemporary painted with the author's name, title and library marks handwritten in black ink, sprinkled edges. Contemporary binding.

II/ Precious and extremely rare first edition of the "Epitome Astronomiae", the major work of Joannes Kepler's (1571-1630) master, the astronomer Michael Maestlin (1550-1631).
Caspar, Kepler S. 4/; Houzeau/L. 2747; Zinner 3041; vgl. Admas M 85 ff u. STC 585.
"Michael Maestlin (also called Mästlin, Möstlin or Moestlin), was born on September 30th 1550 in Göppingen in Bade-Württemberg and died on October 20th 1631 in Tübingen. He was a German… Read More
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Instrumentum primi mobilis : nunc primum et inventum et in lucem editum : ad cuius declarationem...
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Instrumentum primi mobilis : nunc primum et inventum et in lucem editum : ad cuius declarationem & intellectu pronunciata centu hic proponuntur ... : accedunt ijs Gebri filii Affla hispalensis astronomi

by APIANUS, Peter

  • Used
  • near fine
  • Hardcover
  • first
Condition
Used - Near Fine
Edition
First
Binding
Hardcover
Seller
COLUMBIA, Missouri
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A$4,546.84
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1534 1ed Apian Instrumentum Astronomy Mathematics Alchemy Durer ART Trigonometry
Peter Apian was a 16th-century humanist who is remembered for his studies in astronomy and mathematics. One of his best known works was his 1534 mathematics treatise 'Instrumentum Primi Mobilis'. This book was Apian's studies in trigonometry, and, according to Tomash & Williams,
"Apian published a table of sines that, for the first time, was based on a circle with a radius of a power of ten, in this case one hundred thousand. The values of the functions were thus decimal and were easily adapted to any situation in which the defining circle was a decimal power."
This 1534 first edition is exceedingly rare and valuable. It contains the expected sine charts as well as numerous woodcut illustrations depicting protractor and arc readings. Note that this incredible work includes the original title page, which features a woodcut after Albrecht Durer.
Item number: #19895
Price: $2950
APIANUS, Peter
Instrumentum primi mobilis :… Read More
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THE ELEMENTS OF ASTRONOMY, PHYSICAL AND GEOMETRICAL.  Done into English, with additions and...
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THE ELEMENTS OF ASTRONOMY, PHYSICAL AND GEOMETRICAL. Done into English, with additions and corrections.To which is annexed, Dr. Halley"s Synopsis of the Astronomy of Comets, plus the Theory of the Moon's Motion by Sir Isaac Newton.

by GREGORY, David.:

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  • Hardcover
  • first
Condition
Used
Binding
Hardcover
Seller
Oxford, Oxfordshire
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A$4,914.25
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London, printed for John Morphew, Stationers-Hall, 1715. The rare variant Imprint.. FIRST EDITION in English, 1715, 2 volumes, complete set. 8vo, 190 x 120 mm, 7½ x 4½ inches, 32 of 34 engraved plates on 17 folding sheets in Volume I, LACKING 1 LEAF OF PRELIMS v-vi, AND LACKING 1 PLATE with illustrations 5 & 6 printed on the 1 folding sheet, all replaced with yellowish facsimiles on 18th century paper, 45 plates on 21 sheets including 3 on a single sheet, as required in Volume II, a total of 77 original plates of 79. Pages: [2], xii, [2], 512; [4], 465-905, [7], Volume 2 with 1 page of adverts opposite title page and 2 pages of adverts at the end. HALLEY'S WORK ON THE COMETS occupying pages 881-905, ALSO CONTAINS SIR ISAAC NEWTON'S THEORY OF THE MOON'S MOTION pages 563-571. Rebound in modern quarter calf over marbled sides, raised bands with blind rules, contrasting gilt lettered morocco labels, new endpapers. Age-browning throughout including plates, occasional small pale damp stain to margins,… Read More
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Intensio.
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Intensio.

by [Hiebert, Helen] Helen Hiebert .

  • Used
Condition
Used
Edition
Edition of 25
Seller
Hoover, Alabama
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A$4,315.64
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Red Cliff, Colorado:: Helen Hiebert Studio,, 2021.. Edition of 25. Box size: 9.25' x 6" x 1.25". Book size (closed): 8-3/8" x 5-3/8". From the colophon: "Helen Hiebert created all of the handmade paper in this book with a 90% cotton rag/10% abaca fiber blend. She composed the string drawings and stitched them with the assistance of Will Katauskas. The end sheets are machine stitched. Tom Leech printed the text at the Press at the Palace of the Governors in Santa Fe, New Mexico from polymer plates made by Boxcar Press. The typeface is Dante. Claudia Cohen bound and boxed the book. Helen Hiebert: "Tension is a pulling force in physics. The strings within these pages cannot be pushed to form a definitive shape: when a page is closed, the thread - without tension - goes slack, lying in chaos between the folds. As you turn the page, extending it to 180 degrees, the single thread pulls taut, and the invisible property of tension creates beauty and order. … Read More
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Cosmographia Petri Apiani, per Gemmam Frisium
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Cosmographia Petri Apiani, per Gemmam Frisium

by APIANUS, Peter

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  • near fine
  • Hardcover
Condition
Used - Near Fine
Binding
Hardcover
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COLUMBIA, Missouri
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1551 RARE Peter Apian Cosmographia Astronomy Navigation AMERICA Map Mathematics

Peter Apian was a 16th-century humanist who is remembered for his studies in astronomy and mathematics. His best and most-known work was his book on cosmography which was extremely influential into the 17th-century. In this work, Apian discusses navigation by use of astronomy, utilizing woodcut illustrations to depict aspects of astronomy and navigation. Other illustrations include zodiac characters, planets, maps, and navigational instruments.

Perhaps the most important aspect of this book is that it is one of the earliest works relating to America. In 1507, Martin Waldseemuler printed a map which included the word 'America' for the first time. 'Cosmographiae Introductio' was published as an accompaniment to that map.

This 1551 edition was collected and annotated by Gemma Frisius, a famed Dutch cartographer. The illustrations found in this work are utterly impressive – it even includes interactive engravings… Read More
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