triangularadj.n.

/trʌɪˈaŋɡjʊlə/

Forms: Also 1500s–1600s -er, -are, (1600s triangler).

Etymology: < late Latin triangulāris: see triangle n. and -ar suffix¹. Compare Old French triang(u)lier (13th cent. in Godefroy).

a. Having, or arranged in, the form of a triangle; contained by three sides and angles; three-cornered, three-sided.

ΘΚΠ

the world > space > shape > angularity > specific angular shape > [adjective] > triangular

three-corneredc1400

three-squaredc1400

three-squarec1450

triangle1474

triangled1486

triangular?1541

three-corner1548

trilater1570

trigonal1571

three-corned1584

three-sided1601

triangulated1610

triangulate1611

triform1621

triangulary1622

triquetrous1658

trilateral1660

triagonal1665

trigonic1788

cocked hat1846

heater-shaped1847

the world > relative properties > number > geometry > shape or figure > [adjective] > two-dimensional > triangular

triangle1474

triangled1486

triangular?1541

trigonal1570

trilater1570

triangulated1610

triangulate1611

triform1621

triangulary1622

triquetrous1658

trilateral1660

trilineal1715

trilinear1715

trigonic1788

trigonate1815

triagonal1831

?1541 R. Copland Guy de Chauliac's Questyonary Cyrurgyens ii. sig. Eiv The bony substaunce [of the nose] hath two trianguler bones wherwith the brydge is reysed vp.

1590 E. Spenser Faerie Queene ii. ix. sig. V6 The frame thereof seemd partly circulare, And part triangulare.

c1660 J. Evelyn Diary anno 1644 (1955) II. 99 A triangular building of brick.

1776 W. Withering Brit. Plants (1796) II. 375 Populus... Leaves nearly triangular, toothed and angular.

1825 W. Scott Talisman i, in Tales Crusaders III. 6 His triangular shield suspended round his neck.

b. Situated at the angular points of a triangle. (In quots. quasi-adv.) ? Obsolete.

ΘΚΠ

the world > space > shape > angularity > specific angular shape > [adjective] > triangular > situated at the points of a triangle

triangular1622

1622 M. Drayton 2nd Pt. Poly-olbion xxii. 50 Three..hils that stand Trianguler.

1707 J. Mortimer Whole Art Husbandry (1721) II. 74 3 or 4 quarter Stakes set triangular or quadrangular.

c. Having three edges, as a prism or pyramid; three-edged, trihedral, triquetrous.

ΘΚΠ

the world > space > shape > angularity > specific angular shape > [adjective] > triangular > pyramidal or triangular in section

pyramidalc1450

trigonal1571

pyramidate1572

pyramidical1599

pyramidy1627

pyramical1633

triangular1644

pyramidated1745

triquetrous1752

trihedral angle1789

pyramoidal1883

1644 K. Digby Two Treat. i. xxix. 257 Those..cunning in Optikes..by refractions..make all sortes of colours out of pure light: as we see..in..triangular glasses, or prismes.

1665 T. Herbert Some Years Trav. (new ed.) 384 Other strange Fish we had..some were globous, others triangular.

1728 E. Chambers Cycl. at Pyramid The Pyramid is said to be Triangular, Quadrangular, Quinquangular, &c. as the Base is triangular, quadrangular, &c.

1807 C. Hutton Course Math. (ed. 5) II. 262 To find the Number of Balls in a Triangular Pile.

1852 H. B. Stowe Uncle Tom's Cabin I. vi. 72 The small, sharp, triangular beech-nuts lay scattered thickly on the ground.

1873 E. Spon Workshop Receipts 1st Ser. 330/2 Triangular glovers' needles for sewing up skins.

d. Contained by triangles, as a solid figure; of which the faces are triangles. rare.

ΚΠ

1816 R. Jameson Treat. External Characters Minerals (ed. 2) 139 Triangular Dodecahedron..consists of two six-sided pyramids, joined base to base.

a. Pertaining or relating to a triangle: as triangular compasses, a kind of compasses with three legs, used for taking off triangles; triangular co-ordinates (Geometry), a kind of trilinear co-ordinates. triangular quadrant: see quot. 1706.

ΘΚΠ

the world > relative properties > measurement > measuring instrument > [noun] > for measuring distances > compasses, dividers, or callipers

compassa1387

proportional compass1570

callipers1571

calliper compass1581

triangular compasses1701

dividers1703

cannipers1707

hair-compasses1728

bow-compass1796

outside calliper1874

wing-compass1875

moff1885

odd-leg1900

1701 T. Tuttell Descr. Math. Instruments in J. Moxon Math. made Easie (ed. 3) 21 Triangular Compasses, containing 3 Legs or Feet, to take off at once any Triangle used on Maps, Globes, etc.

1706 Phillips's New World of Words (new ed.) Triangular Quadrant, is a Sector with a loose Piece to make it an Equilateral Triangle; having the Calendar graduated on it, with the Sun's Place, Declination, &c. It is an Instrument of great Use in the Arts of Dialling, Navigation, and Surveying.

1807 T. Young Course Lect. Nat. Philos. I. x. 102 Triangular compasses are sometimes used for laying down a triangle equal to a given triangle.

b. triangular numbers n. (also elliptical as triangulars) the first series of polygonal numbers (1, 3, 6, 10, 15, 21, etc.; see polygonal adj. 2), obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, 6, etc.: see quot. 1837.

ΘΚΠ

the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > of polygonal numbers

pentagonal number1670

triangular numbers1706

pentagonal1795

1706 W. Jones Synopsis Palmariorum Matheseos 165 In a Rank of Triangulars their Sums are called Triangulars or Figurates of the 3d Order.

1796 C. Hutton Math. & Philos. Dict. (new ed.) I. 468/2 The triangular numbers 1, 3, 6, 10, 15, &c.

1798 C. Hutton Course Math. I. 214 The sides or faces in either the triangular or square piles, are called arithmetical triangles; and the numbers contained in these, are called triangular numbers.

1837 C. Babbage 9th Bridgewater Treat. ii. 37 (note) They are called triangular numbers, because a number of points corresponding to any term can always be placed in the form of a triangle.

3. figurative. Relating to or taking place between three persons or parties, three-sided; also, constituting a triad or set of three, threefold, triple; spec. with reference to the ‘eternal triangle’ (see triangle n. 1c).

ΘΚΠ

the world > relative properties > number > specific numbers > three > condition of being threefold > [adjective]

thrilec725

threefoldc1000

treblec1374

trinec1386

thrinfalda1400

tripartitec1420

triparted1429

ternaryc1430

trinary1474

triplicate?a1475

trivial?a1475

triplage1526

threefolded1528

triple1552

treblefold1561

trifold1578

trinal1590

tripart1592

ternal1599

triplexa1616

tergeminous1656

ternarious1656

triplasian1678

triplet1697

ternarian1732

triangular1812

Trinitarian1812

triplasic1864

three-body1936

triplexed1974

the world > relative properties > number > specific numbers > three > condition of being threefold > [adjective] > involving three parties

triangular1812

three-way1961

society > morality > moral evil > licentiousness > unchastity > fornication, adultery, or incest > [adjective] > adulterous > where adultery exists in marriage

triangular1880

1812 T. Jefferson Writings (1830) IV. 175 The triangular war must be an idea of the Anglomen and malcontents.

1816 T. L. Peacock Headlong Hall xv. 215 Avarice, luxury, and disease constitute the triangular harmony of the life of man.

1871 W. White Jrnl. (1898) 244 We had an interesting triangular talk.

1880 T. Hardy Fellow-townsmen v. 44 The triangular situation—himself, his wife, Lucy Savile—was the one clear thing.

1908 Times 9 July 15/5 [The Australians] were unable to take part in the suggested triangular contest in this country next year.

a1914 Mod. In these elections there will be several triangular contests.

1914 W. L. George Dramat. Actualities 39 The difficulties of matrimony, triangular or other, financial or monetary entanglements.

1968 S. Hynes Edwardian Turn of Mind vi. 181 The hero [is] involved in a triangular situation that Shaw took from his own amatory experience.

1976 Southern Evening Echo (Southampton) 13 Nov. 13/7 The Mid-Hants (Southampton) girls' netball teams had a successful time in a triangular tournament against Derbyshire and Berkshire at Reading.

1977 Gay News 24 Mar. 24/4 Husband, wife and female lodger involved in a triangular relationship.

Compounds

C1.

a. Parasynthetic, as triangular-bodied, triangular-headed, triangular-leaved, triangular-pointed, triangular-spotted; also triangular-wise adv.

ΘΚΠ

the world > space > shape > angularity > specific angular shape > [adverb] > triangle

triangle1474

trianglewise?1523

three-corneredwise1580

triangularly1604

triangle-ways1689

triangular-wise1707

three-corner-ways1748

three-corner-wise1862

1707 J. Mortimer Whole Art Husbandry (1721) I. 189 Placing another Row at the Ends where the forked Sticks meet Triangular-wise.

1731 P. Miller Gardeners Dict. I. at Aloe The upright triangular-leav'd viscous Aloe.

1769 J. Parsons in Philos. Trans. 1768 (Royal Soc.) 58 194 The triangular-headed Cameleons.

1804 G. Shaw Gen. Zool. V. 420 Triangular-bodied, unarmed Trunk-Fish.

1823–5 J. E. Smith Eng. Flora (1828) II. 9 Mercury Goose~foot. Leaves triangular-arrow-shaped, entire.

b. Botany. In combination with other adjectives of form, as triangular-cordate, triangular-crenate, triangular-dentate, triangular-hastate, triangular-ovate, triangular-rhomboid, triangular-subulate.

ΚΠ

1870 J. D. Hooker Student's Flora Brit. Islands 264 Scrophularia nodosa..leaves ovate or triangular-cordate.

1887 W. Phillips Man. Brit. Discomycetes 99 Margin triangular-dentate.

C2.

triangular trade n. a multilateral system of trading in which a country pays for its imports from one country by its exports to another; spec. (Historical) in the slave trade (see quots.).

ΘΚΠ

society > trade and finance > other trading methods > [noun]

fair trading1685

grocery1689

carriage trade1720

sale or (formerly and) return1795

Labour Exchange1828

security system1831

smousingc1876

postal trade1902

triangular trade1934

switch trading1967

relationship management1970

p-y-o1977

counter-trade1978

pick-your-own1980

counter-trading1983

fair trade1986

carry trade1994

1934 C. M. MacInnes England & Slavery iii. 39 After the Restoration a great triangular trade developed between England, the West Coast of Africa and the West Indies or the continental colonies.

1948 T. S. Ashton Industr. Revol. 1760–1830 ii. 47 Cloth, firearms, hardware, and trinkets were sent to Africa and exchanged for slaves, who were shipped to the West Indies to pay for the luxuries and raw material which constituted the final cargo in this disreputable, triangular trade.

1971 C. Plimmer & D. Plimmer Damn'd Master ii. 26 With the profits from the sale of the slaves in the West Indies they bought sugar..which, back in Europe, they sold for a second profit with which in turn they bought more goods... This became known as the triangular trade.

This entry has not yet been fully updated (first published 1914; most recently modified version published online December 2020).

单词	triangular
释义	triangularadj.n. /trʌɪˈaŋɡjʊlə/ Forms: Also 1500s–1600s -er, -are, (1600s triangler). Etymology: < late Latin triangulāris: see triangle n. and -ar suffix¹. Compare Old French triang(u)lier (13th cent. in Godefroy). 1. a. Having, or arranged in, the form of a triangle; contained by three sides and angles; three-cornered, three-sided. ΘΚΠ the world > space > shape > angularity > specific angular shape > [adjective] > triangular three-corneredc1400 three-squaredc1400 three-squarec1450 triangle1474 triangled1486 triangular?1541 three-corner1548 trilater1570 trigonal1571 three-corned1584 three-sided1601 triangulated1610 triangulate1611 triform1621 triangulary1622 triquetrous1658 trilateral1660 triagonal1665 trigonic1788 cocked hat1846 heater-shaped1847 the world > relative properties > number > geometry > shape or figure > [adjective] > two-dimensional > triangular triangle1474 triangled1486 triangular?1541 trigonal1570 trilater1570 triangulated1610 triangulate1611 triform1621 triangulary1622 triquetrous1658 trilateral1660 trilineal1715 trilinear1715 trigonic1788 trigonate1815 triagonal1831 ?1541 R. Copland Guy de Chauliac's Questyonary Cyrurgyens ii. sig. Eiv The bony substaunce [of the nose] hath two trianguler bones wherwith the brydge is reysed vp. 1590 E. Spenser Faerie Queene ii. ix. sig. V6 The frame thereof seemd partly circulare, And part triangulare. c1660 J. Evelyn Diary anno 1644 (1955) II. 99 A triangular building of brick. 1776 W. Withering Brit. Plants (1796) II. 375 Populus... Leaves nearly triangular, toothed and angular. 1825 W. Scott Talisman i, in Tales Crusaders III. 6 His triangular shield suspended round his neck. b. Situated at the angular points of a triangle. (In quots. quasi-adv.) ? Obsolete. ΘΚΠ the world > space > shape > angularity > specific angular shape > [adjective] > triangular > situated at the points of a triangle triangular1622 1622 M. Drayton 2nd Pt. Poly-olbion xxii. 50 Three..hils that stand Trianguler. 1707 J. Mortimer Whole Art Husbandry (1721) II. 74 3 or 4 quarter Stakes set triangular or quadrangular. c. Having three edges, as a prism or pyramid; three-edged, trihedral, triquetrous. ΘΚΠ the world > space > shape > angularity > specific angular shape > [adjective] > triangular > pyramidal or triangular in section pyramidalc1450 trigonal1571 pyramidate1572 pyramidical1599 pyramidy1627 pyramical1633 triangular1644 pyramidated1745 triquetrous1752 trihedral angle1789 pyramoidal1883 1644 K. Digby Two Treat. i. xxix. 257 Those..cunning in Optikes..by refractions..make all sortes of colours out of pure light: as we see..in..triangular glasses, or prismes. 1665 T. Herbert Some Years Trav. (new ed.) 384 Other strange Fish we had..some were globous, others triangular. 1728 E. Chambers Cycl. at Pyramid The Pyramid is said to be Triangular, Quadrangular, Quinquangular, &c. as the Base is triangular, quadrangular, &c. 1807 C. Hutton Course Math. (ed. 5) II. 262 To find the Number of Balls in a Triangular Pile. 1852 H. B. Stowe Uncle Tom's Cabin I. vi. 72 The small, sharp, triangular beech-nuts lay scattered thickly on the ground. 1873 E. Spon Workshop Receipts 1st Ser. 330/2 Triangular glovers' needles for sewing up skins. d. Contained by triangles, as a solid figure; of which the faces are triangles. rare. ΚΠ 1816 R. Jameson Treat. External Characters Minerals (ed. 2) 139 Triangular Dodecahedron..consists of two six-sided pyramids, joined base to base. 2. a. Pertaining or relating to a triangle: as triangular compasses, a kind of compasses with three legs, used for taking off triangles; triangular co-ordinates (Geometry), a kind of trilinear co-ordinates. triangular quadrant: see quot. 1706. ΘΚΠ the world > relative properties > measurement > measuring instrument > [noun] > for measuring distances > compasses, dividers, or callipers compassa1387 proportional compass1570 callipers1571 calliper compass1581 triangular compasses1701 dividers1703 cannipers1707 hair-compasses1728 bow-compass1796 outside calliper1874 wing-compass1875 moff1885 odd-leg1900 1701 T. Tuttell Descr. Math. Instruments in J. Moxon Math. made Easie (ed. 3) 21 Triangular Compasses, containing 3 Legs or Feet, to take off at once any Triangle used on Maps, Globes, etc. 1706 Phillips's New World of Words (new ed.) Triangular Quadrant, is a Sector with a loose Piece to make it an Equilateral Triangle; having the Calendar graduated on it, with the Sun's Place, Declination, &c. It is an Instrument of great Use in the Arts of Dialling, Navigation, and Surveying. 1807 T. Young Course Lect. Nat. Philos. I. x. 102 Triangular compasses are sometimes used for laying down a triangle equal to a given triangle. b. triangular numbers n. (also elliptical as triangulars) the first series of polygonal numbers (1, 3, 6, 10, 15, 21, etc.; see polygonal adj. 2), obtained by continued summation of the natural numbers 1, 2, 3, 4, 5, 6, etc.: see quot. 1837. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > of polygonal numbers pentagonal number1670 triangular numbers1706 pentagonal1795 1706 W. Jones Synopsis Palmariorum Matheseos 165 In a Rank of Triangulars their Sums are called Triangulars or Figurates of the 3d Order. 1796 C. Hutton Math. & Philos. Dict. (new ed.) I. 468/2 The triangular numbers 1, 3, 6, 10, 15, &c. 1798 C. Hutton Course Math. I. 214 The sides or faces in either the triangular or square piles, are called arithmetical triangles; and the numbers contained in these, are called triangular numbers. 1837 C. Babbage 9th Bridgewater Treat. ii. 37 (note) They are called triangular numbers, because a number of points corresponding to any term can always be placed in the form of a triangle. 3. figurative. Relating to or taking place between three persons or parties, three-sided; also, constituting a triad or set of three, threefold, triple; spec. with reference to the ‘eternal triangle’ (see triangle n. 1c). ΘΚΠ the world > relative properties > number > specific numbers > three > condition of being threefold > [adjective] thrilec725 threefoldc1000 treblec1374 trinec1386 thrinfalda1400 tripartitec1420 triparted1429 ternaryc1430 trinary1474 triplicate?a1475 trivial?a1475 triplage1526 threefolded1528 triple1552 treblefold1561 trifold1578 trinal1590 tripart1592 ternal1599 triplexa1616 tergeminous1656 ternarious1656 triplasian1678 triplet1697 ternarian1732 triangular1812 Trinitarian1812 triplasic1864 three-body1936 triplexed1974 the world > relative properties > number > specific numbers > three > condition of being threefold > [adjective] > involving three parties triangular1812 three-way1961 society > morality > moral evil > licentiousness > unchastity > fornication, adultery, or incest > [adjective] > adulterous > where adultery exists in marriage triangular1880 1812 T. Jefferson Writings (1830) IV. 175 The triangular war must be an idea of the Anglomen and malcontents. 1816 T. L. Peacock Headlong Hall xv. 215 Avarice, luxury, and disease constitute the triangular harmony of the life of man. 1871 W. White Jrnl. (1898) 244 We had an interesting triangular talk. 1880 T. Hardy Fellow-townsmen v. 44 The triangular situation—himself, his wife, Lucy Savile—was the one clear thing. 1908 Times 9 July 15/5 [The Australians] were unable to take part in the suggested triangular contest in this country next year. a1914 Mod. In these elections there will be several triangular contests. 1914 W. L. George Dramat. Actualities 39 The difficulties of matrimony, triangular or other, financial or monetary entanglements. 1968 S. Hynes Edwardian Turn of Mind vi. 181 The hero [is] involved in a triangular situation that Shaw took from his own amatory experience. 1976 Southern Evening Echo (Southampton) 13 Nov. 13/7 The Mid-Hants (Southampton) girls' netball teams had a successful time in a triangular tournament against Derbyshire and Berkshire at Reading. 1977 Gay News 24 Mar. 24/4 Husband, wife and female lodger involved in a triangular relationship. Compounds C1. a. Parasynthetic, as triangular-bodied, triangular-headed, triangular-leaved, triangular-pointed, triangular-spotted; also triangular-wise adv. ΘΚΠ the world > space > shape > angularity > specific angular shape > [adverb] > triangle triangle1474 trianglewise?1523 three-corneredwise1580 triangularly1604 triangle-ways1689 triangular-wise1707 three-corner-ways1748 three-corner-wise1862 1707 J. Mortimer Whole Art Husbandry (1721) I. 189 Placing another Row at the Ends where the forked Sticks meet Triangular-wise. 1731 P. Miller Gardeners Dict. I. at Aloe The upright triangular-leav'd viscous Aloe. 1769 J. Parsons in Philos. Trans. 1768 (Royal Soc.) 58 194 The triangular-headed Cameleons. 1804 G. Shaw Gen. Zool. V. 420 Triangular-bodied, unarmed Trunk-Fish. 1823–5 J. E. Smith Eng. Flora (1828) II. 9 Mercury Goose~foot. Leaves triangular-arrow-shaped, entire. b. Botany. In combination with other adjectives of form, as triangular-cordate, triangular-crenate, triangular-dentate, triangular-hastate, triangular-ovate, triangular-rhomboid, triangular-subulate. ΚΠ 1870 J. D. Hooker Student's Flora Brit. Islands 264 Scrophularia nodosa..leaves ovate or triangular-cordate. 1887 W. Phillips Man. Brit. Discomycetes 99 Margin triangular-dentate. C2. triangular trade n. a multilateral system of trading in which a country pays for its imports from one country by its exports to another; spec. (Historical) in the slave trade (see quots.). ΘΚΠ society > trade and finance > other trading methods > [noun] fair trading1685 grocery1689 carriage trade1720 sale or (formerly and) return1795 Labour Exchange1828 security system1831 smousingc1876 postal trade1902 triangular trade1934 switch trading1967 relationship management1970 p-y-o1977 counter-trade1978 pick-your-own1980 counter-trading1983 fair trade1986 carry trade1994 1934 C. M. MacInnes England & Slavery iii. 39 After the Restoration a great triangular trade developed between England, the West Coast of Africa and the West Indies or the continental colonies. 1948 T. S. Ashton Industr. Revol. 1760–1830 ii. 47 Cloth, firearms, hardware, and trinkets were sent to Africa and exchanged for slaves, who were shipped to the West Indies to pay for the luxuries and raw material which constituted the final cargo in this disreputable, triangular trade. 1971 C. Plimmer & D. Plimmer Damn'd Master ii. 26 With the profits from the sale of the slaves in the West Indies they bought sugar..which, back in Europe, they sold for a second profit with which in turn they bought more goods... This became known as the triangular trade. This entry has not yet been fully updated (first published 1914; most recently modified version published online December 2020). < adj.n.?1541
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