| 单词 | redundant hyperbola |
| 释义 | > as lemmasredundant hyperbola redundant hyperbola n. [after post-classical Latin hyperbola reduntans ( Newton Opticks (1704) ii. 145)] now rare a hyperbola having three infinite branches. ΚΠ 1710 J. Harris Lexicon Technicum II Redundant Hyperbola is one so called, because it exceeds the Conical Sections, in the Number of its Hyperbolical Legs; being a Triple Hyperbola with six Hyperbolical Legs. 1811 C. Hutton Course Math. III. 196 In every redundant hyperbola, if neither term cy be wanting, nor b2 − 4ac = ae√a, the curve will have no diameter. 1866 A. Cayley Coll. Math. Papers (1892) V. 360 In the former case, the asymptotes are all real, and we have the redundant hyperbola. 1911 Encycl. Brit. VII. 660/1 The genera [of cubic curves] may be arranged as follows:—1,2,3,4 redundant hyperbolas, 5,6 defective hyperbolas, [etc.]. 2007 Teaching of Math. 10 60 The curve intersects u in three different ways... A possible general point is (t2 : 1 − t : t3 − t) = (s : s3 − s2 : s2 − 1). Such a curve is called a redundant hyperbola. < as lemmas |
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