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单词 defective hyperbola
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defective hyperbola
defective hyperbola n. Mathematics (now historical and rare) a curve of degree three (see degree n. 13) which has a single asymptote and two branches which converge to it from opposite directions; = deficient hyperbola at deficient adj. 1d.
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1726 E. Stone New Math. Dict. at Epicycloid The Vertex of the Parabola will describe the Cissoid of Diocles, and any other Point thereof will describe some one of the defective Hyperbola's of Sir Isaac Newton.
1863 London, Edinb., & Dublin Philos. Mag. 4th Ser. 26 20 The locus or pedal curve is a curve of the third order, viz. a defective hyperbola having a double point at S.
2001 L. Kay tr. G. Fischer Plane Algebraic Curves (2009) Introd. 6 The folium of Descartes..looks similar to the nodal cubic but, according to Newton, belongs to the family of ‘defective hyperbolas’.
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