SPHERICAL EXCESS
\sfˈɛɹɪkə͡l ɛksˈɛs], \sfˈɛɹɪkəl ɛksˈɛs], \s_f_ˈɛ_ɹ_ɪ_k_əl ɛ_k_s_ˈɛ_s]\
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[Gr.] The portion of the surface of a sphere inclosed by arcs (each less than a semicircle) of three great circles is a Spherical triangle. The relations between the sides and angles of spherical triangles is the subject of Spherical excess geometry ; those between the trigonometrical functions of the sides and angles, of Spherical excess trigonometry. The excess of the sum of the three angles of a spherical triangle above two right angles is its Spherical excess. A Spherical excess segment is the part of a sphere cut off by a plane ; a Spherical excess sector is the part of a sphere inclosed within a conical surface whose vertex is at the centre.
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.