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Science & Technology / Astronomy & Mathematics

"Making an end" to the superstitious belief in the devil and the apocalyptical meaning of comets:
two controversial works by Balthasar Bekker

BEKKER, Balthasar. De betoverde weereld, zynde een grondig ondersoek van 't gemeen gevoelen aangaande de geesten, derselver aart en vermogen, bewind en bedryf: als ook 't gene de menschen door derselver kraght en gemeenschap doen. In vier boeken ondernomen.Amsterdam, Daniel van den Dalen, 1691-1693. With the woodcut printer's device of Daniel van den Dalen on the title-page of each book (part) and a full-page woodcut of the Oldenburg Horn.
With: (2) BEKKER, Balthasar. Ondersoek van de betekeninge der kometen, by gelegenheid van de gene die in de jaren 1680. 1681. en 1682. geschenen hebben.Including: Berigt aangaande 't uitvinden der lengte van Oost en West, voorgegeven van Liewe Willems Graaf.
Amsterdam, Jan ten Hoorn, 1692. 4to. 2 works in 1 volume, the first work in 4 parts. With a woodcut on the title-page, depicting a group of people doing astronomical research.2 works in 1 volume, the first work in 4 parts. 4to. Contemporary calf, blind-ruled frames on the boards. [18], 138, [2]; [8], 262, [2]; [8], 188, [4]; [6], 277, [3]; [8], 102, [18] pp. Full description
€ 2,500
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Important work on the calculation of volumes

BEYER, Johann Hartmann. Ein newe und schöne Art der vollkommenen Visierkunst: derengleichen hiebevor niemaln in keiner Spraach gesehen worden ...
Frankfurt am Main, printed by Palthenius for Jonas Rosa, 1603. 4to. With numerous tables and several woodcut diagrams and figures in text. Modern overlapping vellum. [12], 68, 191 [1 blank], [38] pp. Full description
€ 7,500
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Anticipating Halley on the periodicity of comets and excellent engraved patterns for constructing sundials

BIANCANI, Giuseppe. Sphaera mundi, seu cosmographia demonstrativa, ac facili methodo tradita: in qua totius mundi fabrica, una cum novis, Tychonis, Kepleri, Galilaei, aliorumq[ue] astronomorum adinventis continetur. Accessere I. Brevis introductio ad geographiam. II. Apparatus ad mathematicarum studium. III. Echometria, idest geometrica tractatio de echo. IV. Novum instrumentum ad horologia describenda. opus posthumum.
Modena, Andrea & Girolamo Cassiani, 1653.
With: (2) BIANCANI, Giuseppe. Constructio instrumenti ad horologia solaria describenda peropportuni. ... Opus posthumum.
Modena, Andrea Cassiani, 1654. 2 works in 1 volume. Folio. Ad 1: with publisher's woodcut device, 1 large folding diagram, 1 woodcut diagram, numerous woodcut diagrams and other illustrations in text, woodcut head- and tailpieces and decorated initials, letterpress tables. Ad 2: with a woodcut astronomical dial on the title page, 18 numbered engraved figures on both sides of 3 leaves, decorated woodcut initials and a large folding letterpress table. Contemporary sheepskin parchment, sewn on 5 cords, manuscript spine title. Rebacked. [6], 232; 24, [5] pp. Full description
€ 8,500
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Important description of a new clockwork mechanism

BONHOMO, Gabriele. Automatum inaequale sive horologium antiquum automatis animatum. Opusculum sanè perutile, ac pro rei novitate jucundum, in quo multiplex datur. Hoc nondùm excogitatum automatum condendi methodus. ..
Palermo, Francisco Valenze, 1747. 4to. With numerous woodcut headpieces and tailpieces and decorated initials, some tables in the text and 15 numbered, folding engraved plates showing timepieces and clockwork mechanisms. Contemporary mottled calf, gold-tooled spine. [8], 122 pp. Full description
€ 1,850
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Rare encyclopaedic work by one of the most prolific polymaths of the 17th century

CARAMUEL Y LOBKOWITZ, Juan. Caramuelis apparatus philosophicus quatuor libris distinctus, in primo de omnium scientiarum quae schlastice tractari possunt quidditate, dignitate, ordine, utilitate, de artibus vanis, superstitiosis, viribus naturae & daemonis conjurationibus, hominum pactis, divinationibus per Deum, astra, ignem, aquam, manum, terram, aerem, sacra, sortes, literas &c. ...
Cologne, Johann Arnold Cholinus, 1665. Folio. With a small woodcut ornament on the title page, and several woodcut decorated initials, head- and tailpieces. Further with some tables in the text. Stiff paper wrappers with (remnants of) a manuscript title label at the head of the spine. [1], [1 blank], 144, [1], [1 blank] pp. Full description
€ 18,000
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First edition of the most comprehensive work on integral calculus of its day, with 4 folding plates

CARRÉ, Louis. Methode pour la mesure des surfaces, la dimension des solides, leurs centres de pesanteur, de percussion et d'oscillation, par l'application du calcul intégral.
Paris, Jean Boudot, 1700. 4to. With a large woodcut vignette (by Bernard Picart) on the title-page, 4 folding numbered engraved plates containing 43 numbered diagrams, an engraved headpiece and initial at the opening of the main text. Contemporary sprinkled calf, gold-tooled spine. [12], 115, [1 blank] pp. Full description
€ 4,000
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Includes excellent logarithmic-trigonometric tables

CAVALIERI, Bonaventura Francesco. Trigonometria plana, et sphaerica, linearis, & logarithmica. Hoc est, tam per sinuum, tangentium, & secantium multiplicationem, ac divisionem iuxta veteres: quam per logarithmorum simplicem fere additionem iuxta recentiores; ad triangulorum dimetiendos angulos, & latera procedens.
Bologna, heirs of Victor Benati, 1643. 4to. With engraved frontispiece and 28 geometrical figures on a folding engraved plate. Contemporary vellum, with manuscript title on spine. [16], 71, [1 blank]; [4], 44, [4] ll. (tables) Full description
€ 2,500
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First edition of an important mathematical treatise

CEULEN, Ludolf van. De arithmetische en geometrische fondamenten.
Leiden, Joost van Colster and Jacob Marcus (colophon: printed by Ulderick Cornelisz. Honthorst and Joris Abramsz.), 1615. Folio. With engraved portrait of Van Ceulen on the title-page, and numerous woodcut geometrical figures in the text. Contemporary vellum, remains of ties. [4], 271, [1 blank] pp. Full description
€ 6,500
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Important mathematical treatise by a fencing master, rare complete copy of the issue for the Dutch Republic

CEULEN, Ludolf van. Fundamemta[!] arithmetica et geometrica cum eorundem usu. In varii problematis, geometricis, partim solo linearum, ductu, partim per numeros irrationales, & tabulas sinuum, & algebram solutis.
Including: CEULEN, Ludolf van. Variorum problematum libri 4. ...
Leiden, Joost van Colster [printed at least in part by Joris Abrahamsz. van der Marsce], 1615. 4to. With numerous woodcut diagrams and other mathematical figures in text. Contemporary vellum. [4], "269" [= 271], [1 blank] pp. Full description
€ 5,500
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