英语词汇“delian problem”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Delian problem n. Mathematics the problem of finding a cube having a volume exactly double that of a cube whose side length is known; esp. by means of geometrical methods that employ only a straight-edge and a compass.Solving the Delian problem is algebraically equivalent to constructing a line segment whose length is the cube root of two. Although solutions to the problem have existed since the Classical era, it was proved in 1837 that it could not be solved by means of straight-edge and compass. [One classical account, attributed to Eratosthenes, states that the oracle at Delphi instructed the citizens of Delos to double the size of Apollo's altar, which was cubical, in order to end a plague.]

ΚΠ

1728 E. Chambers Cycl. at Duplication They applied themselves..to seek the Duplicature of the Cube, which hence forwards was call'd the Delian Problem.

1845 R. Potts Euclid's Elements Geom. Introd. p. xix The commentary on the Sphere and Cylinder contains ten various methods of solving the celebrated Delian problem, which are of little importance in the present state of mathematical science.

2014 E. Maor & E. Jost Beautiful Geom. xxv. 81/2 The Delian problem..was not the only problem that couldn't be solved with Euclidean tools.

单词	delian problem
释义	> as lemmas Delian problem Delian problem n. Mathematics the problem of finding a cube having a volume exactly double that of a cube whose side length is known; esp. by means of geometrical methods that employ only a straight-edge and a compass.Solving the Delian problem is algebraically equivalent to constructing a line segment whose length is the cube root of two. Although solutions to the problem have existed since the Classical era, it was proved in 1837 that it could not be solved by means of straight-edge and compass. [One classical account, attributed to Eratosthenes, states that the oracle at Delphi instructed the citizens of Delos to double the size of Apollo's altar, which was cubical, in order to end a plague.] ΚΠ 1728 E. Chambers Cycl. at Duplication They applied themselves..to seek the Duplicature of the Cube, which hence forwards was call'd the Delian Problem. 1845 R. Potts Euclid's Elements Geom. Introd. p. xix The commentary on the Sphere and Cylinder contains ten various methods of solving the celebrated Delian problem, which are of little importance in the present state of mathematical science. 2014 E. Maor & E. Jost Beautiful Geom. xxv. 81/2 The Delian problem..was not the only problem that couldn't be solved with Euclidean tools. extracted from Deliann.¹adj.¹ < as lemmas
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