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单词 projective property
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projective property
projective property n. Mathematics a property (of a figure) which remains unchanged after projection.
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1854 Philos. Trans. (Royal Soc.) 144 61 Nearly all of the projective properties of right lines and conic sections on a plane may be transformed into analogous properties of great circles and spherical conic sections on the surface of a sphere.
1931 V. F. Lensen Nature of Physical Theory 53 The concept of projective properties presupposes that of the straight line, but not of length. The projective properties are unchanged by a projective transformation.
1997 J. V. Field Invention of Infinity vii. 202 Perspective is not being seen as a procedure that ‘degrades’ but merely as one that transforms, leaving certain relationships the same. The relations that are left the same are what we now call ‘projective properties’ of the figure concerned.
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