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A ready reckoner is a printed book or table containing pre-calculated values, often multiples of given amounts. They were widely used in shops and by tradesmen before the advent of cheap electronic calculators,
metric weights and measures The metric system is a system of measurement that succeeded the decimalised system based on the metre that had been introduced in France in the 1790s. The historical development of these systems culminated in the definition of the Internat ...
and decimal currencies in the 1970s.


Background

Prior to the 1960s and the widespread introduction of calculators, multiplication was a laborious chore, often prone to error. This was especially so when calculations involved
non-decimal currencies A non-decimal currency is a currency that has sub-units that are a non-decimal fraction of the main unit, i.e. the number of sub-units in a main unit is not a power of 10. Historically, most currencies were non-decimal, though today virtually all ...
. Various devices were invented to aid this process, such as the
abacus The abacus (''plural'' abaci or abacuses), also called a counting frame, is a calculating tool which has been used since ancient times. It was used in the ancient Near East, Europe, China, and Russia, centuries before the adoption of the Hi ...
, log tables,
slide rule The slide rule is a mechanical analog computer which is used primarily for multiplication and division, and for functions such as exponents, roots, logarithms, and trigonometry. It is not typically designed for addition or subtraction, which ...
, stepped reckoner, or the
comptometer The Comptometer was the first commercially successful key-driven mechanical calculator, patented in the United States by Dorr Felt in 1887. A key-driven calculator is extremely fast because each key adds or subtracts its value to the accumulato ...
, but the most commonly used device for everyday commerce was the ready reckoner. These could be either general-purpose – aimed to meet the needs of a variety of trades – or designed specifically for one trade or group of trades.


History

The earliest surviving ready reckoner in English dates from the 1570s; other sources attribute the invention to the Dutch mathematician
Simon Stevin Simon Stevin (; 1548–1620), sometimes called Stevinus, was a Flemish mathematician, scientist and music theorist. He made various contributions in many areas of science and engineering, both theoretical and practical. He also translated vario ...
, who calculated and published decimal tables in the 1580s. William Webster published ''A plaine and most necessarie booke of tables'', for simple and compound interest, in 1625. There are several other seventeenth-century publications giving 'reckonings ready done' or 'accounts ready cast up' or tables of simple and compound interest. The most popular of these was
William Leybourn William Leybourn (16261716) was an English mathematician and land surveyor, author, printer and bookseller. Career as a printer During the late 1640s Robert Leybourn's press in Monkswell Street near Cripplegate, London was occupied with books a ...
's, ''Panarithmologia, being a mirror breviate treasure mate for merchants, bankers, tradesmen, mechanicks, and a sure guide for purchasers, sellers, or mortgagers of land, leases, annuities, rents, pensions, &c. in present possession or reversion.'' (1693). Other works were published in France such as François Barrême’s ''Le Livre des Comptes Faits''. Paris: Thierry, which appeared in 1673, and was still being published in 1862. The term 'ready reckoner' was coined by the schoolmaster Daniel Fenning with the publication of ''The ready reckoner; or trader's most useful assistant'' in 1757. This was a modernised and extended version of Leybourn's work, which was reprinted in
Boston Boston (), officially the City of Boston, is the state capital and most populous city of the Commonwealth of Massachusetts, as well as the cultural and financial center of the New England region of the United States. It is the 24th- mo ...
,
Massachusetts Massachusetts (Massachusett: ''Muhsachuweesut Massachusett_writing_systems.html" ;"title="nowiki/> məhswatʃəwiːsət.html" ;"title="Massachusett writing systems">məhswatʃəwiːsət">Massachusett writing systems">məhswatʃəwiːsət'' En ...
, about 1770, and translated into German in
Germantown, Philadelphia Germantown ( Pennsylvania Dutch: ''Deitscheschteddel'') is an area in Northwest Philadelphia. Founded by German, Quaker, and Mennonite families in 1683 as an independent borough, it was absorbed into Philadelphia in 1854. The area, which is ...
, 1774.EST
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an
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/ref> Fenning's work continued to be reprinted in England until the early 1820s when several of the tables were superseded by the advent Imperial Weights and Measures under the
Weights and Measures Act 1824 Weights and measures acts are acts of the British Parliament determining the regulation of weights and measures. It also refers to similar royal and parliamentary acts of the Kingdoms of England and Scotland and the medieval Welsh states. ...
. By the end of the eighteenth century, ready reckoners designed for the needs of particular trades or types of business began to appear. Thus ''The gentleman and farmers' assistant'', by John Cullyer (1795) or ''The farmer's, grazier's, and butcher's ready reckoner'' (1796). Hundreds of ready reckoners appeared, principally in the UK and US throughout the nineteenth century and the first half of the twentieth century, as they proved to be cheaper to produce and easier to use than alternative means of calculation. According to Williams and Johnson, 'Ready Reckoners were the dominant aid used for multiplication in trade from 1800 to 1950. Throughout this period their sales far exceeded any other calculating aid used in trade to assist in making routine calculations.' It was only with the gradual introduction of
mechanical Mechanical may refer to: Machine * Machine (mechanical), a system of mechanisms that shape the actuator input to achieve a specific application of output forces and movement * Mechanical calculator, a device used to perform the basic operations of ...
and later electronic calculators that they began to be superseded.


Notes


References

* * * * * {{Authority control Reference works