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Science & Technology / Astronomy & Mathematics

How to teach arithmetic according to the 19th-century educational system of mutual tuition

[JOMARD, Edmé François]. Arithmétique élémentaire ou tableaux d'arithmétique composés selon les principes et assujetis aux procédés de l'enseignement mutuel; par M. Jomard, secrétaire de la Societé pour l'enseignement élémentaire.
[France?, ca. 1822]. Small folio (ca. 29.5 x 19 cm). With 6 folding text leaves. Contemporary quarter vellum. [1], 88, [1 blank] ll. Full description
€ 5,000
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The first publication of Kepler's third law, first edition of the Harmonices

KEPLER, Johannes. Harmonices Mundi Libri V. Quorum.
Linz, Johannes Planck for Gottfried Tampach, 1619.
With: (2) KEPLER, Johannes. Pro suo opere Harmonices Mundi Apologia.
Frankfurt, Gottfried Tampach, 1622. 2 works in 1 volume. Folio (30.2 x 19.4 cm). 4 engraved plates and 1 folding plate.
Contemporary vellum, spine lettered in ink with paper labels in fragments at head and foot of spine. [1], [1 blank], [5], [1 blank], 66, 255, [1 blank]; 50 pp. Full description
€ 220,000
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Annuities: statistics and insurance in the eighteenth century

KERSSEBOOM, Willem. Proeven van politique rekenkunde, vervat in drie verhandelingen ...
The Hague, Jan van den Bergh, 1748.
Comprising:
- Eerste verhandeling tot een proeve om te weeten de probable menigte des volks in de provintie van Hollandt en Westvrieslandt; ... Derde druk.
The Hague, Jan vanden Bergh, 1748.
- Tweede verhandeling, bevestigende de proeve om te weeten de probable meenigte des volks in de provintie van Hollandt en Westvrieslandt ...
The Hague, Jan vanden Bergh, 1742.
- Derde verhandeling over de probable meenigte des volks in de provintie van Hollandt en Westvrieslandt ...
The Hague, Jan vanden Bergh, 1742.
- Eenige aanmerkingen op de gissingen over den staat van het menschelyk geslagt, uitreekening van de lyfrenten en 't aanhangsel op beide, begreepen in het boek, genaamt inleiding tot de algemeene geographie, door Nicolaas Struyck ...
The Hague, Jan vanden Bergh, 1740.
With:
(2) [KERSSEBOOM, Willem]. Kort bewys, dat op de afstervinge, voorgevallen in een klein getal persoonen van zeekeren ouderdom, geensins een generale reegel van leevenskracht voor andere te fundeeren is. Hier is bygevoegd een tafel of richtsnoer, naar welke, in proportie van den ordinaris intrest der obligatien, in gereed geld te vinden is de juste koopprys, dewelke moet betaald werden eens, om den kooper geduurende zyn leeven, in proeveniershuizen of diergelyke, zonder schaade of voordeel de kost te konnen geeven.
[The Hague?], 1738.
(3) [KERSSEBOOM, Willem]. Observatien, waar in voornamentlyk getoont word wat is gelyktydigheid, dewelke vereischt word in alle calculatien, die tot voorwerp hebben de probable leevenskracht van persoonen van eenigen voorgestelden ouderdom. Hier is bygevoegt een proeve van de constante ondervinding, dat die van de vrouwelyke sexe doorgaans maar eenige weinige jaaren doormalkander langer leven, dan die van de mannelyke ...
The Hague, Jan van den Bergh, 1740. 3 works in 1 volume, the first in 4 parts. 4to. With general title page printed in red and black, an engraved allegorical vignette by A. Bloteling on the 4 divisional title pages of ad 1, respectively dated 1748, 1742, 1742 and 1740. With a woodcut vignette on the general title page and the title pages of ads 2 and 3. Several woodcut decorated initials, woodcut tailpieces, and tables in the text throughout. Contemporary gold-tooled half calf, sprinkled paper sides, with a (damaged) title-label on the spine lettered in gold, red sprinkled edges. [1], [1 blank], 44; [2], 65, [1 blank]; [4], 71, [1 blank]; 18; 30; [2], 52 pp. Full description
€ 4,500
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Best and only folio edition of an encyclopedic work of eccentric genius on magnetism

KIRCHER, Athanasius. Magnes sive de arte magnetica opus tripartitum quo universa magnetis natura, eiusque in omnibus scientiis & artibus usus, nova methodo explicatur: …
Rome, Biagio Diversin and Zanobio Masotti (printed by Vitale Mascardi), 1654. Folio. With engraved frontispiece by F. Valentius, letterpress title page printed in red and black with engraved double publisher's device, full-page engraved plate with the portrait of Emperor Ferdinand IV, 34 mostly full-page engraved illustrations, 215 woodcut illustrations and about 50 letterpress tables. Contemporary overlapping vellum. [32], 618, [28] pp. Full description
€ 17,500
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First edition of an incredibly rare 18th-century mathematical work

KNOOP, Johann Hermann. Eerste pylaar der algemene mathesis of wis-kunde, of de arithmetica ...
Leeuwarden, Abraham Ferwerda, 1758. 2 parts in 1 volume. 8vo. With an engraved folding plate after the last page, a small woodcut vignette on the title-page, a woodcut headpiece at the start of the work, two decorated woodcut initials, and numerous mathematical figures in the text. The title-page is printed in red and black, the work includes a divisional title-page for part 2. Contemporary(?) gold-tooled half brown calf, with remnants of a dark brown morocco title-label on the spine, brown sprinkled paper sides. [16], 498; [2], 503-976 [= 473] pp. Full description
€ 1,950
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Popular school book on astronomy

LACAILLE (LA CAILLE), Nicolas Louis de. Lectiones elementares astronomiae, geometriae, et physicae, ex editione Parisina anni 1755 in Latinum traductae a C.S(chefer) e S.J. Including: Appendix, complectens Praecipuas Mutationes, quas Auctor in Ultima Editione Parisina anno 1761 fecit, et in Latinum convertit C.S(chefer) e S.J.
Vienna, Prague, Johann Thomas Trattner, 1757-1762. 2 parts in 1 volume. 4to. With woodcut vignette on 2 title-pages, 10 folding engraved plates in text. Contemporary vellum. [10], 280, [6]; 75, [1 blank] pp. Full description
€ 1,950
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Lansberge's famous astronomical tables, used to correctly predict the Transit of Venus in 1639

LANSBERGE, Johan Philip. Tabulae motuum coelestium perpetuae ...
Middelburg, Zacharias Roman (colophon: Leiden, Willem Christiaens van der Boxe), 1632. 3 parts in 1 volume. Folio. With an engraved title page, an engraved full-page portrait of the author, a divisional title page for the tables with a small woodcut figure representing the solar system as a vignette, a folding letterpress table (all within collation). Further with numerous figures and tables in the text, several woodcut decorated initials, and woodcut head- and tail-pieces. Contemporary overlapping vellum. 79, [1 blank]; 180, [1 folding leaf]; 186, [5], [1 blank] pp. Full description
€ 6,500
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Well-illustrated treatise on sundials, by a Dutch defender of Copernicus

LANSBERGE, Philip van. Horologiographia plana: in qua omne genus sciotericorum horologiorum, quae plano cuilibet inscribi possunt, certis evidentibusq[ue]; . . .
Middelburg, Zacharias Roman, 1663. Small folio (28.5×17.5 cm). With 61 woodcuts in the text (1 repeated on the title page, illustrating a sundial), many more than half-page, including both sundials and diagrams illustrating how they work. With extensive 19th-century manuscript notes on the back of the title page. Lacking 2 leaves containing Roman's dedication. Modern paper-covered boards. [2], 53 pp. Full description
€ 3,500
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