8vo, pp. [iv], 56; a good copy in contemporary plain interim wrappers, a little rubbed in places.
US $632 €561
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Nouvelle formule pour trouver la hauteur des lieux par celles du baromètre et du thermomètre, avec laquelle on détermine, pour la première fois, le degré du thermomètre centigrade où le froid est absolu.
First edition of a rare and neglected work of thermodynamics, in which Duvillard presents his own calculation of absolute zero, some twenty years before Lord Kelvin’s work on the subject. He calculates the temperature as -266⅔ ºC; today 0 K is calculated as -273.15ºC.
Born in Geneva of an ancient Huguenot family, Duvillard (1755–1832) was head of the statistical department of population in the office of the French Ministry of the Interior and is known today for his tables of mortality (included in Analyse et Tableaux de l’influence de la petite vérole sur la mortalité à chaque age, 1826) which were long used in France, and for his important Recherches sur les Rentes, les Emprunts et les Remboursemens (1787), one of the earliest works to use differential calculus in economic analysis. A short autobiographical piece is appended at the end of the present work.
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Sir Isaac Newton’s tables for renewing and purchasing the leases of cathedral-churches and colleges, according to the several rates of interest: with their construction and use explained. Also tables for renewing and purchasing the leases of land or houses, very necessary and useful for all purchasers, but especially those who are any way concerned in church or college leases. To which is added, the value of church and college leases consider’d, and the advantage to the lessees made very apparent. By a late Bishop of Chichester. To which are also added, tables of interest exactly computed at 3, 3 ½, 4, and 5 per cent. With other useful tables.
Sixth edition, first published in 1686, this issue was sometimes also published with a separate title page and imprint reading, ‘The money’d man’s pocket-book’, London, 1742’ immediately preceding the title-page of the second part. A series of tables calculating the amounts owed on leases based on varying interest rates and time periods. The author also includes tables for the calculation of fines for late payment based on varying interest rates. The third section, ‘tables of interest…’ calculates the interest due on loans of set amounts given an interest rate of 3, 3 ½, 4, or 5 per cent. Amongst the useful tables mentioned at the end of the title, is a series of Tables of Brokerage and Commission.
WHITWORTH, William Allen.
Choice and chance.
First edition, scarce especially in good condition, of a key work in the history of probability and statistics. Whitworth’s best-known book, an accessible presentation of problems of probability and associated areas, was derived from a series of lectures delivered before the women of Queen’s College, Liverpool, in 1866, the year of the first appearance of Todhunter’s History. Whitworth was both an able priest and mathematician, serving in Liverpool and London, and at his death was the vicar of All Saints, Margaret Street, in Marylebone.