DUPLICATION OF THE CUBE
\djˌuːplɪkˈe͡ɪʃən ɒvðə kjˈuːb], \djˌuːplɪkˈeɪʃən ɒvðə kjˈuːb], \d_j_ˌuː_p_l_ɪ_k_ˈeɪ_ʃ_ə_n ɒ_v_ð_ə k_j_ˈuː_b]\
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The Delian problem, viz. to find by elementary geometry the edge of a cube whose volume is double that of a given cube. Under the conditions the problem is insoluble. It can be solved to any degree of nearness by extracting the cube root of 2. It is a particular case of the problem of inserting two mean proportionals between two given magnitudes ; i.e. given a and b find x and y such that a : x :: x : y and x : y :: y : b.
By Henry Percy Smith
Word of the day
onopordum
- a genus Eurasian herbs of the family Compositae with prickly foliage and large purplish flowers