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单词 quadrilateral
释义

quadrilateraladj.n.

Brit. /ˌkwɒdrᵻˈlat(ə)rəl/, /ˌkwɒdrᵻˈlat(ə)rl̩/, U.S. /ˌkwɑdrəˈlædər(ə)l/, /ˌkwɑdrəˈlætrəl/
Forms: 1600s quadrilaterall, 1600s– quadrilateral.
Origin: A borrowing from Latin, combined with an English element. Etymons: Latin quadrilaterus , -al suffix1.
Etymology: < classical Latin quadrilaterus quadrilater adj. + -al suffix1. Compare Middle French, French quadrilatéral, adjective (1556).
A. adj.
1. Of a plane figure, area, etc.: bounded by four lines. Of an object: having a four-sided base or cross-section.
ΘΚΠ
the world > space > shape > angularity > specific angular shape > [adjective] > quadrilateral
four-nookedc1275
four-hernedc1290
quadrangular?a1425
four-corneredc1440
quadrangle1494
quadrivial1540
quadrangled1552
quadrilater?a1560
tetragonal1571
quadrangulate1592
quadranguled1592
quadrilateral1606
four-corner1640
tetragon1794
the world > relative properties > number > geometry > shape or figure > [adjective] > two-dimensional > quadrilateral
quadrivial1540
quadrilater?a1560
trapezite1570
quadrilateral1606
trapezate1826
1606 B. Barnes Foure Bks. Offices iv. 189 This art [sc. geometry] doth..extend and draw foorth lines circumferent, bowing, iacent, perpendiculer, oblique, and equall in angles; narrow, large, trilaterall, quadrilaterall, multilaterall, and in them equilaterall.
1656 T. Stanley Hist. Philos. II. v. 17 The Altar..was no longer a Cube, but..a quadrilaterall Pillar.
1718 J. Quincy Pharmacopœia Officinalis 33 In common Salt we plainly discover Quadrilateral Pyramids, with square Bases.
1794 D. Steel Elements & Pract. Rigging & Seamanship I. 135 Wingsail for Ketches. This sail is quadrilateral, and similar to the mizen-course of a ship.
1836–41 W. T. Brande Man. Chem. (ed. 5) 1125 Carbazotate of Potassa crystallizes in long yellow quadrilateral needles.
1877 L. A. Duhring Pract. Treat. Dis. Skin 38 Nails..are rounded or quadrilateral bodies.
1938 Britannica Bk. of Year 712/1 A feature of ‘Ranger's’ rig was the efficient use of quadrilateral jibs and particularly of a large ‘quad’ Genoa jib made of rayon.
1998 G. O'Hara Callan Dict. Fashion & Fashion Designers 237/1 The trapeze—short for trapezium, a quadrilateral shape with two parallel sides—was a wide, full, tent shape which reached to the knees.
2. Botany. Of a shoot: having the leaves in opposite pairs, each pair at right angles to the next. Obsolete. rare.
ΚΠ
1875 A. W. Bennett & W. T. T. Dyer tr. J. von Sachs Text-bk. Bot. i. iii. 184 If the members of a plant are compared with one another, it is seen..that the principal sections of all the leaves may lie in one plane on opposite sides of the stem, in which case the shoot itself is bilateral; or they may lie in two planes, crossing one another at right cases, when the shoot is quadrilateral [Ger. vierseitig], as, for instance, when it bears decussate whorls of two members.
B. n.
1. A four-sided figure; a space or area bounded by four lines; (Geometry) a plane figure having four vertices and four straight sides, no two of which cross each other (cf. quadrangle n. 1a). complete quadrilateral n. Geometry a plane figure consisting of four (infinite) straight lines, no two of which are parallel, and their six points of intersection.
ΘΚΠ
the world > space > shape > angularity > specific angular shape > [noun] > quadrilateral
quadranglea1398
tetragona1626
quadrilateral1648
tetragonal1684
the world > relative properties > number > geometry > shape or figure > [noun] > two-dimensional > quadrilateral
quadranglea1398
tetragon?1608
quadrilater1636
quadrilateral1648
tetragonal1684
1648 B. Gerbier Interpreter Acad. Forrain Langs. ii. 6 A Quadrilaterall, is a figure of foure euqall sides, and foure straight Angles.
1650 T. Rudd Pract. Geom. ii. 49 Probleme XXI. Of foure unequall Right lines to forme a Quadrangle or Quadrilaterall, about which, a Circle may be circumscribed.
1747 T. Simpson Elem. Plane Geom. 53 If one Side of a Quadrilateral, inscribed in a Circle, be produced, [etc.].
1782 J. Bonnycastle Introd. Mensuration & Pract. Geom. 6 All plane figures bound by four right lines are called quadrangles or quadrilaterals.
1827 O. Gregory Hutton's Course Math. (ed. 9) I. 282 A Diagonal is a line joining any two opposite angles of a quadrilateral.
1855 W. M. Gillespie Treat. on Land-Surveying 391 A Complete Quadrilateral is formed by drawing four straight lines, so that each of them shall cut each of the other three, so as to give six different points of intersection.
1867 W. T. Brande & G. W. Cox Dict. Sci., Lit. & Art (new ed.) III. 158/2 The full lines in the figure represent any complete quadrilateral.
1912 G. K. Chesterton Manalive ii. i. 174 He was carefully fenced in with a quadrilateral of light bedroom chairs.
1972 M. Kline Math. Thought xiv. 292 Let B, C, D, and E be any four points in a plane, no three collinear. Then they determine six lines that are the sides of the complete quadrilateral.
1994 Nature Conservancy May 13/1 Our steps resonate in the silence as we go through several plazas, all of them flanked by mounds of different sizes forming perfect quadrilaterals.
2. The territory defended by four fortresses; spec. that in northern Italy formed by the fortresses of Mantua, Verona, Peschiera, and Legnano. Now historical.In quot. 1888 figurative.
ΘΚΠ
society > armed hostility > defence > defensive work(s) > fort or fortified town > [noun] > area defended by 4 forts
quadrilateral1859
1859 Times 1 July 8/5 Such fortresses as compose the famous ‘Quadrilateral’.
1870 Pall Mall Gaz. 2 Sept. 2 He has four fortresses around him..but upon twelve square miles of territory..he cannot play at quadrilaterals.
1888 Daily News 20 Feb. 5/5 Am overjoyed..that Edinburgh is once more the quadrilateral of Liberalism.
1940 G. F.-H. Berkeley & J. Berkeley Italy in Making III. vii. 116 The problem..how to get Radetzky out of the Quadrilateral. His four-sided position..was extraordinarily strong.
2002 F. Schneid Napoleon's Ital. Campaigns ii. 18 He did not deploy the army on a broad front but decided in favor of a concentration facing the Quadrilateral.
3. Christian Church. The essence of Anglicanism as embodied in four principles (see quot. 1957), originally enunciated in 1870 and approved by the Lambeth Conference of 1888 as a basis for the reunion of the Christian Church. Also more fully Lambeth Quadrilateral.A transferred use of sense B. 2.
ΘΚΠ
society > faith > sect > Christianity > Protestantism > Anglicanism > [noun] > principles of
Lambeth Quadrilateral1870
1870 W. R. Huntington Church-Idea vii. 157 1st. The Holy Scriptures as the Word of God. 2d. The Primitive Creeds as the Rule of Faith. 3d. The two Sacraments ordained by Christ Himself. 4th. The Episcopate as the key-stone of Governmental Unity. These four points, like the four famous fortresses of Lombardy, make the ‘Quadrilateral’ of pure Anglicanism.
1902 Encycl. Brit. XXX. 120/2 The resolutions of the Lambeth Conferences have never been regarded as synodical decrees, but their weight has increased with each conference; and in particular the ‘Lambeth Quadrilateral’ of 1888 has already had a great effect as a plan of reunion.
1944 W. Temple Church looks Forward ii. 14 The Lambeth Conference has repeatedly offered as a basis of negotiation the famous Quadrilateral.
1957 F. L. Cross Oxf. Dict. Christian Church 781/2 Lambeth Quadrilateral... The text of the Articles is as follows: A. The Holy Scriptures of the Old and New Testaments,..as being the rule and ultimate standard of faith. B. The Apostles' Creed..and the Nicene Creed... C. The two Sacraments ordained by Christ Himself—Baptism and the Supper of the Lord... D. The Historic Episcopate, locally adapted.
2001 Church Hist. 70 87 Smith..thought Nonconformists should first define their concept of church in the same manner that the Lambeth Quadrilateral had for Anglicans.

Derivatives

quadriˈlateralness n. the property of being quadrilateral.
ΚΠ
1727 N. Bailey Universal Etymol. Eng. Dict. I Quadrilateralness, the Property of having four Sides, Right-Lines, forming as many Angels.
1949 A. Pap Elem. Analyt. Philos. iii. 75 Squareness is the simplest form of quadrilateralness.
1999 B. W. Young & M. L. Fowler Cahokia xvii. 264 The mound with its four plazas embodies the concept of the quadrilateralness, of the four-cornered world.
This entry has been updated (OED Third Edition, December 2007; most recently modified version published online March 2022).
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adj.n.1606
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