unicursaladj.n.

/juːnɪˈkəːsəl/

Etymology: < uni- comb. form 1 + Latin cursus course: see -al suffix¹.

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).

单词	unicursal
释义	unicursaladj.n. /juːnɪˈkəːsəl/ Etymology: < uni- comb. form 1 + Latin cursus course: see -al suffix¹. 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). < adj.n.1866
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