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单词 spinode
释义

spinoden.

/ˈspʌɪnəʊd/
Etymology: Irregularly < Latin spīna spine + node n.
Geometry.
A stationary point on a curve; a cusp.
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the world > relative properties > number > geometry > point > [noun] > on a curve
first polar1836
umbilic1843
spinode1852
stationary point1856
ineunt1859
triple point1872
tacnode-cusp1873
1852 A. Cayley Coll. Math. Papers (1889) II. 28 I shall, with reference to plane curves,..use the term ‘node’ as synonymous with double point, and the term ‘spinode’ as synonymous with cusp.
1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ii. 23 Such points are called cusps or spinodes. They are also..called stationary points.
attributive.1852 A. Cayley Coll. Math. Papers (1889) II. 29 The spinode-planes give rise to a developable which may be termed the ‘spinode-develope’. Also the ‘spinode-tangent’ is the tangent to the curve of intersection at the spinode.1869 A. Cayley Coll. Math. Papers (1893) VI. 450 The spinode curve of the cubic surface.1869 A. Cayley Coll. Math. Papers (1893) VI. 584 The spinode torse is the envelope of the parabolic planes of the surface.
This entry has not yet been fully updated (first published 1914; most recently modified version published online September 2018).
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