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单词 homaloidal
释义

homaloidaladj.

Brit. /ˌhɒməˈlɔɪdl/, U.S. /ˌhɑməˈlɔɪd(ə)l/
Forms: 1800s– homaloidal, 1800s– homoloidal (irregular).
Origin: A borrowing from Greek, combined with an English element. Etymons: Greek ὁμαλός , -oidal suffix.
Etymology: < ancient Greek ὁμαλός (see homalographic adj.) + -oidal suffix. Compare homaloid n. and later homaloid adj.In form homoloidal by association with words in homo- comb. form.
Mathematics.
Of or relating to straight lines and planes; satisfying the axioms of Euclidean geometry, flat.
ΘΚΠ
the world > relative properties > number > geometry > surface > [adjective] > relating to plane surfaces > of nature of
plaina1398
plane1666
homaloidal1850
homaloid1876
1850 J. J. Sylvester in London, Edinb. & Dublin Philos. Mag. 37 368 The law which I have stated for assigning the number of independent, or to speak more accurately, non-coevanescent determinants belonging to a given system of minors, I call the Homaloidal law.
1875 R. A. Proctor Familiar Sci. Stud. (1882) 21 I personally have often found relief from the dreary infinities of Homaloidal space (that is space where straight lines are straight and planes plane).
1922 H. W. Carr Theory of Monads 3 This proved that the path of the light rays is curved in a gravitational field, and rendered meaningless the hypothesis of homoloidal space.
2002 M. Alberich-Carramiñana Geom. Plane Cremona Maps p. xiii We use two criteria to know whether the linear system ℒ defined by a given cluster in the plane and a given proper homaloidal type is a homaloidal net.
This entry has been updated (OED Third Edition, September 2011; most recently modified version published online March 2022).
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adj.1850
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