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
Platidiam
- An inorganic water-soluble platinum complex. After undergoing hydrolysis, it reacts DNA produce both intra interstrand crosslinks. These crosslinks appear to impair replication and transcription of DNA. The cytotoxicity cisplatin correlates with cellular arrest in G2 phase cell cycle.