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单词 semiparabola
释义

semiparabolan.

Etymology: semi- prefix 2b(b).Previous versions of the OED give the stress as: ˌsemipaˈrabola.
Mathematics.
1. Half of a parabola.
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the world > relative properties > number > geometry > curve > [noun] > conic section > parabola > half of
semiparabola1656
1656 T. Hobbes Six Lessons iv. 34 in Elements Philos. You ought to have made a Semiparabola on the Diameter AC.
1668 Philos. Trans. (Royal Soc.) 3 809 When Comets describe a Semi-parabola only.
1745 Bailey's Universal Etymol. Eng. Dict. II. at Parabolick Conoid A solid figure generated by the rotation of a Semi parabola about its Axis.
2. ‘A curve of such a nature that the powers of its ordinates are to each other as the next lower powers of its abscissas’ (Hutton, Math. Dict.).
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the world > relative properties > number > geometry > curve > [noun] > other
quadratrix1656
section1665
family1705
semiparabola1728
tractrix1728
witcha1760
tractory1820
sinusoid1823
tractatrix1828
indicatrix1841
hodograph1847
tetrazomal1867
space curve1875
horograph1879
hypercycle1889
Peano curve1900
multiple arc1967
unknot1971
fractal1975
analemma1978
1728 E. Chambers Cycl. at Parabola Those Curves are likewise used to be referred to Parabola's wherein axm−1 = ym. as E. gr. ax2 = y3, ax3 = y4, which some call Semi-parabola's.
1815 C. Hutton Math. & Philos. Dict. II. 150/1 Parabolas, that are expressed by the general equation axn−1 = yn..are called semi-parabolas.
This entry has not yet been fully updated (first published 1911; most recently modified version published online June 2019).
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