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Zenzizenzizenzic : ウィキペディア英語版
Zenzizenzizenzic
Zenzizenzizenzic is an obsolete form of mathematical notation representing the eighth power of a number (that is, the zenzizenzizenzic of a number ''x'' is the power ''x''8), dating from a time when powers were written out in words rather than as superscript numbers. This term was suggested by Robert Recorde, a 16th-century Welsh writer of popular mathematics textbooks, in his 1557 work ''The Whetstone of Witte'' (although his spelling was ''zenzizenzizenzike''); he wrote that it "''doeth represent the square of squares squaredly''".
At the time Recorde proposed this notation, there was no easy way of denoting the powers of numbers other than squares and cubes. The root word for Recorde's notation is zenzic, which is a German spelling of the medieval Italian word ''censo'', meaning "squared".〔.〕 Since the square of a square of a number is its fourth power, Recorde used the word zenzizenzic (spelled by him as ''zenzizenzike'') to express it. Some of the terms had prior use in Latin "zenzicubicus", "zensizensicus" and "zensizenzum". This is a condensed form of the Italian ''censo di censo'', used by Leonardo of Pisa in his famous book ''Liber Abaci'' of 1202. Similarly, as the sixth power of a number is equal to the square of its cube, Recorde used the word ''zenzicubike'' to express it; a more modern spelling, zenzicube, is found in Samuel Jeake's ''Logisticelogia''. Finally, the word ''zenzizenzizenzic'' denotes the square of the square of a number's square, which is its eighth power: in modern notation,
:x^8=\left(\left(x^2\right)^2\right)^2.
Recorde proposed three mathematical terms by which any power (that is, index or exponent) greater than 1 could be expressed: ''zenzic'', i.e. squared; ''cubic''; and ''sursolid'', i.e. raised to a prime number greater than three, the smallest of which is five. Sursolids were as follows: 5 was the first; 7, the second; 11, the third; 13, the fourth; etc.
Therefore, a number raised to the power of six would be ''zenzicubic'', a number raised to the power of seven would be the second sursolid, hence ''bissursolid'' (not a multiple of two and three), a number raised to the twelfth power would be the "zenzizenzicubic" and a number raised to the power of ten would be ''the square of the (first) sursolid''. The fourteenth power was the square of the second sursolid, and the twenty-second was the square of the third sursolid.
The word, as well as the system, is obsolete except as a curiosity; the Oxford English Dictionary has only one citation for it.〔.〕〔.〕
As well as being a mathematical oddity, it survives as a linguistic oddity: ''zenzizenzizenzic'' has more Zs than any other word in the OED.〔"Recorde also coined ''zenzizenzizenzic'', the word in the ''Oxford English Dictionary'' (OED) with more Zs than any other" .〕〔Uniquely contains six ''Z'' 's. Thus, it's the only ''hexazetic'' word in the English language. (【引用サイトリンク】title=Numerical Adjectives, Greek and Latin Number Prefixes )
Samuel Jeake, however, gives ''zenzizenzizenzizenzike'' (the square of the square of the square of the square) in a table in ''A compleat body of arithmetic...''
==Notes==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Zenzizenzizenzic」の詳細全文を読む



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