| 单词 | axis of homology |
| 释义 | > as lemmasaxis of homology 4. Geometry. The relation of two figures in the same plane, such that every point in each corresponds to a point in the other, and collinear points in one correspond to collinear points in the other; every straight line joining a pair of corresponding points passes through a fixed point called the centre of homology, and every pair of corresponding straight lines in the two figures intersect on a fixed straight line called the axis of homology. ΘΚΠ the world > relative properties > number > geometry > [noun] > geometrical relation congruity1656 symmetry1823 homography1859 homology1863 the world > relative properties > number > geometry > shape or figure > [noun] > relationship between figures perspective1857 homology1863 confocal1903 1863 G. Salmon Conic Sections (ed. 4) iv. 59 Two triangles are said to be homologous, when the intersections of the corresponding sides lie on the same right line called the axis of homology: prove that the lines joining the corresponding vertices meet in a point. 1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 11 Two corresponding straight lines therefore always intersect on a fixed straight line, which we may call s; thus the given figures are in homology, O being the centre, and s the axis, of homology. < as lemmas |
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