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Cocker's Arithmetick : ウィキペディア英語版
Cocker's Arithmetick

''Cocker's Arithmetick: Being a Plain and Familiar Method Suitable to the Meanest Capacity for the Full Understanding of That Incomparable Art, As It Is Now Taught by the Ablest School-Masters in City and Country'' is a grammar school mathematics textbook written by Edward Cocker (1631–1676) and published posthumously by John Hawkins in 1677. ''Arithmetick'' along with companion volume, ''Decimal Arithmetick'' published in 1684, were used to teach mathematics in schools in the United Kingdom for more than 150 years.
Some controversy exists over the authorship of the book. Augustus De Morgan claimed the work was written by Hawkins, who merely used Cocker's name to lend the authority of his reputation to the book.〔 Ruth Wallis, in 1997, wrote an article in ''Annals of Science'', claiming De Morgan's analysis was flawed and Cocker was the real author.〔R Wallis, Edward Cocker (1632?-1676) and his arithmetick: De Morgan demolished, Ann. of Sci. 54 (1997), 507-522.〕
The popularity of ''Arithmetick'' is unquestioned by its more than 130 editions, and that its place was woven in the fabric of the popular culture of the time is evidenced by its references in the phrase, "according to Cocker", meaning "absolutely correct" or "according to the rules". Such noted figures of history as Benjamin Franklin and Thomas Simpson are documented as having used the book. Over 100 years after its publication, Samuel Johnson carried a copy of ''Arithmetick'' on his tour of Scotland, and mentions it in his letters:
:''In the afternoon tea was made by a very decent girl in a printed linen ; she engaged me so much, that I made her a present of Cocker's Arithmetick.''
Though popular, like most texts of its time, ''Arithmetick'' style is formal, stiff and difficult to follow as illustrated in its explanation of the "rule of three".
As well as the rule of three, ''Arithmetick'' contains instructions on alligation and the rule of false position. Following the common practice of textbooks at the time, each rule is illustrated with numerous examples of commercial transactions involving the exchange of wheat, rye and other seeds; calculation of costs for the erection of houses and other structures; and the rotation of gears on a shaft.〔 The text contains the earliest known use of the term ''lowest terms''.

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