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单词 mid-circle
释义

mid-circlen.

Brit. /ˈmɪdˌsəːkl/, U.S. /ˈmɪdˌsərk(ə)l/
Origin: Formed within English, by compounding. Etymons: mid adj., circle n.
Etymology: < mid adj. + circle n.
1. The great circle equidistant from the poles of a sphere; an equator. Obsolete.
ΘΚΠ
the world > the universe > celestial sphere > circle of celestial sphere > [noun] > great circle > celestial equator
equinoctialc1386
equatorc1400
weigherc1400
middle line1595
mid-circle1675
celestial equator1875
1675 E. Sherburne tr. M. Manilius Sphere 24 'Twixt this, and Heavens Mid-Circle, where the Sun, And six Lights more 'gainst the bright Zodiack run, Rise Stars of different Magnitude and Power.
1776 W. J. Mickle tr. L. de Camoens Lusiad v. 218 Now round black Afric's coast our navy veer'd, And to the world's mid circle northward steer'd.
1791 Philos. Trans. 1790 (Royal Soc.) 80 529 If the two great circles DOE, CQA, be continued, they will meet in a point of the midcircle 90° from O.
2. Geometry. The circle passing through the midpoints of the sides of a triangle or a square. Now rare.
ΚΠ
1883 W. H. H. Hudson in Nature 3 May 7/2 I beg leave to suggest the following names: circumcircle, incircle, excircle, and midcircle.
1923 Amer. Math. Monthly 30 122 The midpoints of a skewsquare form a square (called the midsquare)... The circle circumscribing the midsquare (called the midcircle) is the auxiliary circle on the transverse axis of the tangent conic.
3. Geometry. A circle related to two given circles by the property that it is transformed into a straight line by a mapping which transforms one given circle into the other. rare.
ΚΠ
1968 Amer. Math. Monthly 75 13 Any two intersecting circles have a unique mid-circle which inverts them into each other.
This entry has been updated (OED Third Edition, March 2002; most recently modified version published online March 2022).
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n.1675
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