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单词 ideal line
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ideal line
ideal line n. (a) a notional or imaginary line; (Geometry) = line n.2 9a; (b) Geometry the single line at infinity that is regarded as containing all the ideal points of a plane.
ΘΚΠ
the world > space > relative position > condition of being external > edge, border, or margin > boundary > [noun] > bounding line or surface > boundary-line > dividing
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dividentc1450
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ideal line1767
the Great (Continental) Divide1868
borderline1869
1767 T. Lillie Proof adduced before Sheriff of Berwickshire 140 The River Tweed, in those Parts, is not the March or Boundary between Scotland and England, but an ideal Line along the Middle of the Channel, dividing the same into two equal Parts.
1827 G. Birkbeck tr. C. Dupin Math. appl. Useful & Fine Arts 5 All lines executed in the arts, even those which represent the ideal lines of geometricians, have breadth as well as length.
1900 Math. Gaz. 1 314 We shall have therefore in each plane one ideal line.
1905 W. J. Greenstreet tr. H. Poincaré Sci. & Hypothesis iii. 49 We do not make experiments on ideal lines or ideal circles; we can only make then on material objects.
1962 W. T. Fishback Projective & Euclidean Geom. iv. 32 We created the projective plane by adding ideal points and an ideal line to the Euclidean plane.
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