
MATHEMATICS
Gold & Silver Conversion Tables
from
the Press of a Woman Printer
Berdugo, Nicolás. Reducciones de plata, y oro a las leyes de 11. diner. y 22. quilat. valores de una y otra especie por marcos, onzas, ochav. tomin. y gran. como S. Mag. (que Dios guarde) lo manda en sus novissimas reales ordenanzas, expedidas en 1. de agosto de 1750. Cuyas reducciones, y valores el Excmo. Sr. Conde. de Revilla Gigedo ... mandò imprimir. Mexico: Impr. de Doña Maria de Rivera, 1752. Small 8vo (14.8 cm; 5.875"). [15] ff., 324 pp.
$1450.00
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Mining was one of the chief industries of colonial Mexico, and after a century of decline during the 1600s, the 18th century saw a renaissance in ore extraction, chiefly due to new technologies that made it possible to rework old ore and to achieve higher than previously imagined levels of silver and gold extracted from newly mined ore. Berdugo's work is a vade mecum of conversion tables of values for gold of different carats and for silver of different values of purity.
The work was
absolutely essential for all merchants and other business people, and for government workers in the treasury department — for milled coins were the exception in Mexican commerce, cob pieces the norm, and raw gold and silver, including dust, were extremely common.
The volume ends with the “Reglas varias, para sacar juntos, o separados en pasta, o en moneda los reales derechos, que se pagan a S. Mag. De el oro y de la plata, y para reducir a toda su ley estos metales.”
An uncommon economic work: We trace fewer than nine copies in the U.S.
This was printed by Doña Maria de Rivera with a red and black title-page, and with woodcut arms on first dedication page. The charming cut of a herald cherub appears after the decima dedicated to the author at the end of the preliminaries.
Medina, Mexico, 4073. Contemporary full Mexican calf, modestly tooled in gilt and with all edges red; recased, new endpapers. Final two leaves little ragged at edges costing a few letters and with small hole at center and short tears at inner margin; old staining and age-toning/browning throughout.
There is every indication that this well-produced little volume saw time “in the field”! (26850)
MEXICO
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On Government & on Old Gold Coinage
Cantos
Benítez, Pedro de. Escrutinio de maravedises, y monedas
de oro antiguas, su valor, reduccion, y cambio a las monedas corrientes. Deducido
de escrituras, leyes, y pragmaticas antiguas, y modernas de España. Madrid:
Antonio Marin, 1763. 4to (21.5 cm; 8.5"). 123, 171 pp.
$450.00
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An interesting pairing of productions: The first section (to p. 123) is a history and defense of the Consejo de Castilla, while the second portion is the history of ancient gold coins of the Iberian peninsula and methods of calculating their worth!
Graesse, Trésor de livres rares, II, 39; Palau 42732. Contemporary vellum over paste boards, lacking the ties, with some vellum lost; old ownership stamp eradicated from title-page. A bit of old spotting/staining; generally, though, a good clean volume. (28583)

English Tree-Tending: Formal, Mathematical Planting
Cook, Moses. The manner of raising, ordering, and improving forest-trees: With directions how to plant, make, and keep woods, walks, avenues, lawns, hedges, &c. London: Pr. for Eliz. Bell, John Darby, Arthur Bettesworth, et al., 1724. 8vo (19.8 cm, 7.75"). Frontis. (incl. in pagination), xx, 273, [3] pp.; 4 fold. plts.
$900.00
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Acclaimed and influential treatise by Cook, head gardener to the Earl of Essex and a professional nurseryman. This is the stated third edition, corrected, following the first of 1676; it includes “Rules and Tables shewing how the Ingenious Planter may measure Superficial Figures, divide Woods or Land, and measure Timber and other solid Bodies, either by Arithmetick or Geometry: With the Uses of that excellent Line, the Line of Numbers, by several new Examples; and many other Rules, useful for most Men.”
The volume is illustrated with a
lovely copper-engraved frontispiece depicting tree-fellers at work and with four folding plans showing how to calculate the scale and design of landscape features. At the back of the work is a brief overview of the rules for making cider, and an additional recipe for birch beer (alcoholic) is given in the chapter on birches.
ESTC T131054; Goldsmiths’-Kress no. 6265. 18th-century calf, covers framed in double blind fillets with blind roll along joint, spine with gilt-stamped leather title and date labels and gilt-stamped compartment decorations; joints and portions of spine leather unobtrusively repaired, edges and extremities rubbed, sides with a bit of light scuffing, gilt mildly rubbed. Scattered faint foxing, most pages clean. (30312)
Medina, Pedro de. Arte del navigare. Venetia: Appresso Tomaso Baglioni, 1609. 4to (20.5 cm, 8"). A4 b4 2A8 B–Q8 R10; [7], [1 (blank)], 137, [1 (blank)] ff.; illus.
$8000.00


Pedro de Medina’s (1493–1567) Arte de navegar (originally published in Spanish in 1545) was a ground-breaking work on compass navigation, and became a standard manual translated into many languages. Medina was famous as a mathematician and cosmographer, and the king of Spain placed him in charge of examining pilots and masters for the West Indies. This second Italian edition (the first was printed in 1554) was translated by Vincenzo Palentino; it has a title-page in red and black with a woodcut printer’s device, and woodcut initials, tables, and illustrations, many showing how to make celestial observations.
Also included is a woodcut map showing Europe, the Atlantic, and the New World.

Palau 159680; Alden & Landis, European Americana, 609/77; Medina, BHA, 123. Old vellum; red leather, gilt-lettered spine label; some staining, and chipping to edges and label. Old, careful repairs to interior worming occasionally cost individual letters (but never sense) or a little loss to an illustration. Old rubber-stamps and red and black ownership label on title-page; inked notations on title-page and front pastedown. All edges speckled red.
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Life Insurance & Social Security
Price, Richard. Observations on reversionary payments; on schemes for providing annuities for widows, and for persons in old age; on the method of calculating the values of assurances on lives; and on the national debt. To which are added, Four essays on different subjects in the doctrine of life-annuities and political arithmetick. London: T. Cadell, 1783. 8vo. 2 vols. I: xl, 378 pp. II: [2], 324 pp., [1 (blank)] f., [2], 95, 24 (index) pp.
$1000.00
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Fourth, expanded edition, of a treatise which became the “bible” of actuarial science. Richard Price's (1723–91) method for calculating life expectancy was one of his most significant achievements. Life insurance companies would use this edition's mortality tables of Northampton, which were more accurate than the London tables, for many years to come. The book also includes a section on old-age pensions.
In addition to the dedication page, and prefaces to the first, third, and fourth editions, these volumes also include “additional notes and essays, a collection of new tables, a history of the sinking fund, a state of the public debts in January 1783, and a postscript on the population of the kingdom.” First published in 1771.
ESTC T12986; Goldsmiths-Kress 12495. Contemporary speckled sheep, spine with gilt-stamped leather title-label, edges of boards tooled in gilt. Joints cracked and weakly holding. Covers darkened along top and outer edges; leather lost on corners. Light foxing to a few early and later leaves, including title-pages; offsetting from leather affecting only first three and final three leaves, at edges. Each volume pressure-stamped on the title-page and one other page. Title-page rectos marked with small inked initials in upper right corner, versos rubber-stamped with a five-digit number. Penciled notation at bottom margin of p. xxx (vol. I). Now housed in a blue cloth clamshell box with gilt-stamped leather labels. (24415)
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(Prophecies). Breve compendio de notables baticinios, qve famosos avtores matematicos de Europa han hecho contra el sobervio imperio y casa otomana. [Madrid, ca. 1683]. 4to (19.6 cm, 7.75"). A6; [6] ff.
$700.00
Compilation of prophecies against the Ottoman Empire: This popular anti-Turkish tract was no doubt intended to encourage Spanish Christians during the siege of Vienna by the Turks in 1683, which was concluded by King John Sobieski of Poland saving the city.
Among the “mathematic authors” cited are Merlin, “the great astrologer Juan Francisco Spina,”and Saint Isidore of Seville.
Rare: No copies traced via NUC Pre-1956, OCLC or RLIN.
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mouse-over, for an enlargement.
Not in Palau. In recent wrappers. Light foxing, a few light waterstains, and a few shallow tears, the latter not touching text.
Sprat, Thomas. The history of the Royal-Society of London, for the improving of natural knowledge.... The second edition corrected. London: Pr. for Robert Scot & others, 1702. 4to. (21 cm, 8.25"). [8] ff., 438 pp.; 2 foldout plts.
$675.00
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Thomas Sprat (1635–1713) was bishop of Rochester, dean of Westminster, and a leading Tory and High-Churchman. He was also a wit and man of letters with an interest in natural science, and (in addition to being a member himself) was also friends with many of the founding members of the Royal Society, including Christopher Wren and Ralph Bathurst. He was thus well-placed to write the early history of the oldest scientific society in the British Isles and one of the oldest in Europe—therein especially defending the Society against the attacks of those philosophers who questioned the value of experimental science.
First published in 1667 , this work is here in the second of numerous editions. It includes accounts by members of their scientific work: The two plates illustrate meteorological instruments and the principles of artillery recoil.
ESTC T131282. On the Royal Society, see: Encyclopædia Britannica, 11th ed., XXIII, 791–93. On Sprat, see: The Dictionary of National Biography, LIII, 419–24. Recent quarter red morocco over marbled paper. Beading on spine bands and gilt quatrefoils in compartments; gilt-lettered title, author, and date. A foliate gilt roll at edge of leather on covers. Leaves sometime exposed to moisture and cockled, with shallow chipping and light to moderate soiling. Perforation-stamp on title-page, and rubber-stamps, including one on title-page, of a now-defunct library. All edges speckled red.
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