unicursaladj.n.
/juːnɪˈkəːsəl/ Mathematics.
A. adj.
Having, traversing, or being on one course or path.
ΘΚΠ
the world > relative properties > number > geometry > [adjective] > geometrical property
acentric1831
orientated1857
convex1858
unicursal1866
oriented1875
dual1910
concave1942
traceless1966
1866 Cayley in Proc. London Math. Soc. Apr. A unicursal curve is nothing else than a curve with a deficiency D = 0.
1871 A. Cayley Coll. Math. Papers (1895) VIII. 388 On the Transformation of Unicursal Surfaces.
1873 G. Salmon Treat. Higher Plane Curves ii. 29 If the coordinates can be expressed as rational functions of a parameter the curve has the maximum number of double points. Curves of this sort are called unicursal curves.
B. n.
Categories »
A unicursal curve.
Derivatives
unicurˈsality n.
ΘΚΠ
the world > relative properties > number > geometry > [noun] > geometrical property
duality1532
magnitude1570
solidity1570
order1706
symmetry1823
unicursality1887
self-coincidence1902
closure1905
non-orientability1938
1887 Amer. Jrnl. Math. 10 24 In the unicursality-equation a cusp plays the role of an ordinary double-point.
uniˈcursally adv.
ΘΚΠ
the world > relative properties > number > geometry > [adverb] > in specific way
incongruously1656
projectively1703
unicursally1892
1892 W. W. R. Ball Math. Recreations & Probl. 124 A figure is described unicursally when the whole of it is traversed in one route.
This entry has not yet been fully updated (first published 1924; most recently modified version published online June 2018).
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adj.n.1866