multiple arcn.

Brit.

/ˌmʌltᵻpl ˈɑːk/, U.S.

/ˌməltəp(ə)l ˈɑrk/

Origin: Formed within English, by compounding. Etymons: multiple adj., arc n.

Etymology: < multiple adj. + arc n. Compare French arc multiple (1807, J. Fourier).

1. Mathematics and Surveying. An arc that subtends an angle equal to an integral multiple of the angle subtended by a given arc.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > part of circle

arc1570

sextans1596

circumference1656

quadrant1660

quintant1684

sextant1730

octant1753

supplemental arc1754

multiple arc1802

explement1817

1802 Philos. Trans. (Royal Soc.) 92 109 Demonstrations of the series for the chord of the supplement of a multiple arc, in terms of the chord of the supplement of the simple arc.

1852 W. Smyth Elem. Plane Trigonom. 73 (heading) Expressions for the sines and cosines of multiple arcs... sin 2 a = 2 sin a cos a.

1921 Amer. Math. Monthly 28 454 This difference in each case is obtained in an expression in the sines of the multiple arcs of the other latitude in question.

1986 U. Bottazzini Higher Calculus ii. 72 Even discontinuous arbitrary functions can always be represented by expansions into sines or cosines of multiple arcs.

2. Each of two or more paths connecting the same two points of an electrical circuit. Chiefly in in multiple arc: in parallel. Now rare.

ΚΠ

1861 W. Thomson in Proc. Royal Soc. 11 321 I have formed a plan..which consists in combining the standards..in multiple arc (or ‘parallel’ arcs, according to an expression sometimes used), so as to add their conducting powers,—instead of in series..by which the resistances..are added.

1873 F. Jenkin Electr. & Magn. iv. 88 With a long circuit of great external resistance large cells, or many of them joined in multiple arc, will fail to give us strong currents.

1890 Scribner's Mag. Apr. 435/2 Another method..is the connection of the lamps across the circuit... This is called the ‘multiple arc’ or ‘parallel’ system.

1914 Philos. Trans. (Royal Soc.) B. 205 70 The coercer coil is placed in a multiple arc with the vibrator coil.

3. Mathematics. Each of two or more lines of a graph (graph n.¹ 1) that join the same two vertices.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > other

quadratrix1656

section1665

family1705

semiparabola1728

tractrix1728

witcha1760

tractory1820

sinusoid1823

tractatrix1828

indicatrix1841

hodograph1847

tetrazomal1867

space curve1875

horograph1879

hypercycle1889

Peano curve1900

multiple arc1967

unknot1971

fractal1975

analemma1978

1967 SIAM Jrnl. Appl. Math. 15 1228 We consider all arcs to have capacity one, but we permit multiple arcs between any two nodes.

1987 SIAM Rev. 29 291 A directed graph..consists of a finite non-empty set of vertices V and of a set of arcs T... Multiple arcs are not allowed.

This entry has been updated (OED Third Edition, March 2003; most recently modified version published online March 2022).

单词	multiple arc
释义	multiple arcn. Brit. /ˌmʌltᵻpl ˈɑːk/, U.S. /ˌməltəp(ə)l ˈɑrk/ Origin: Formed within English, by compounding. Etymons: multiple adj., arc n. Etymology: < multiple adj. + arc n. Compare French arc multiple (1807, J. Fourier). 1. Mathematics and Surveying. An arc that subtends an angle equal to an integral multiple of the angle subtended by a given arc. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > part of circle arc1570 sextans1596 circumference1656 quadrant1660 quintant1684 sextant1730 octant1753 supplemental arc1754 multiple arc1802 explement1817 1802 Philos. Trans. (Royal Soc.) 92 109 Demonstrations of the series for the chord of the supplement of a multiple arc, in terms of the chord of the supplement of the simple arc. 1852 W. Smyth Elem. Plane Trigonom. 73 (heading) Expressions for the sines and cosines of multiple arcs... sin 2 a = 2 sin a cos a. 1921 Amer. Math. Monthly 28 454 This difference in each case is obtained in an expression in the sines of the multiple arcs of the other latitude in question. 1986 U. Bottazzini Higher Calculus ii. 72 Even discontinuous arbitrary functions can always be represented by expansions into sines or cosines of multiple arcs. 2. Each of two or more paths connecting the same two points of an electrical circuit. Chiefly in in multiple arc: in parallel. Now rare. ΚΠ 1861 W. Thomson in Proc. Royal Soc. 11 321 I have formed a plan..which consists in combining the standards..in multiple arc (or ‘parallel’ arcs, according to an expression sometimes used), so as to add their conducting powers,—instead of in series..by which the resistances..are added. 1873 F. Jenkin Electr. & Magn. iv. 88 With a long circuit of great external resistance large cells, or many of them joined in multiple arc, will fail to give us strong currents. 1890 Scribner's Mag. Apr. 435/2 Another method..is the connection of the lamps across the circuit... This is called the ‘multiple arc’ or ‘parallel’ system. 1914 Philos. Trans. (Royal Soc.) B. 205 70 The coercer coil is placed in a multiple arc with the vibrator coil. 3. Mathematics. Each of two or more lines of a graph (graph n.¹ 1) that join the same two vertices. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > other quadratrix1656 section1665 family1705 semiparabola1728 tractrix1728 witcha1760 tractory1820 sinusoid1823 tractatrix1828 indicatrix1841 hodograph1847 tetrazomal1867 space curve1875 horograph1879 hypercycle1889 Peano curve1900 multiple arc1967 unknot1971 fractal1975 analemma1978 1967 SIAM Jrnl. Appl. Math. 15 1228 We consider all arcs to have capacity one, but we permit multiple arcs between any two nodes. 1987 SIAM Rev. 29 291 A directed graph..consists of a finite non-empty set of vertices V and of a set of arcs T... Multiple arcs are not allowed. This entry has been updated (OED Third Edition, March 2003; most recently modified version published online March 2022). < n.1802
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