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单词 nasik
释义

Nasikn.adj.

Brit. /ˈnɑːsɪk/, U.S. /ˈnɑsɪk/
Forms: also with lower-case initial.
Origin: From a proper name. Etymon: proper name Nasik.
Etymology: < Nasik, the name of a town in the Indian state of Maharashtra where the inventor, the Revd Andrew H. Frost, a missionary, lived.
Mathematics.
attributive. Designating certain magic squares and related cubes devised by A. H. Frost, esp. magic squares which are pandiagonal. Also as adj.
ΘΚΠ
the world > relative properties > number > graph or diagram > [noun] > diagram > magic square or circle
magical square1693
magical circle1698
magic square1704
magic circle1797
Nasik1866
1866 A. H. Frost in Q. Jrnl. Pure & Appl. Math. 7 94 To distinguish the squares..from the ordinary magic squares, I shall call them Nasik Squares, and his cubes Nasik Cubes.
1883 Encycl. Brit. XV. 215/1 If now the q's are multipled by 9, and added to the p's in their several cells, we shall have a Nasik square, with a constant summation along eight of its ten normal paths.
1883 Encycl. Brit. XV. 215/2 A Nasik cube is composed of n3 small equal cubes,..in the centres of which the natural numbers from 1 to n3 are so placed that every section of the cube by planes perpendicular to an edge has the properties of a Nasik square.
1917 H. E. Dudeney Amusem. Math. 120/1 Nasik magic squares (so named by Mr. Frost, a student of them, after the town in India where he lived, and also called Diabolique and Pandiagonal) and Associated magic squares are of special interest.
1946 Amer. Math. Monthly 53 450 It is well known that there are only three essentially different pan-magic (or Nasik, or diabolic) squares of the fourth order.
1976 Sci. Amer. Jan. 120/1 And it is pandiagonal (sometimes called Nasik or diabolic), which means that its broken diagonals add up to 65, the constant.
1997 Math. Today 33 113/2 A property of Nasik squares is that a top row can be moved below the bottom row and the resulting square is still Nasik.

Derivatives

Nasical adj. (also Nasikal) Obsolete rare of or relating to a Nasik square or cube.
ΚΠ
1866 A. H. Frost in Q. Jrnl. Math. 7 98 The squares about the same diagonals may be turned through any number of right angles..without destroying the Nasikal properties.
1883 Encycl. Brit. XV. 215/2 It is not necessary to add any nine of them together in order to test the Nasical summation.
1897 Amer. Jrnl. Math. 19 119 Unaware of its earlier discovery [by Moschopulus of Constantinople, some four centuries ago], he gave it the name of ‘nasical summation,’ from the village of Nasik in India, where he resided when first engaged upon this subject.
Nasically adv. Obsolete rare so as to form a Nasik square or cube.
ΚΠ
1883 Encycl. Brit. XV. 216/1 The n5 cubelets of this solid square [might] be Nasically filled by the introduction of a new letter t.
This entry has been updated (OED Third Edition, June 2003; most recently modified version published online March 2022).
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n.adj.1866
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