curvilinearadj.n.

Brit.

/ˌkəːvɪˈlɪnɪə/, U.S.

/ˌkərvəˈlɪniər/

Origin: Formed within English, by compounding; perhaps modelled on a Latin lexical item. Etymons: curvi- comb. form, linear adj.

Etymology: < curvi- comb. form + linear adj., perhaps after post-classical Latin curvilineus curvilineous adj. Compare earlier curvilineal adj. Compare also curvilineary adj., curvilineous adj.

Frequently contrasted with rectilinear adj.

A. adj.

1. Of a figure, angle, or area: curved; bounded or formed by one or more curved lines. Of motion, a course, or a direction: taking or having the course of a curved line.

ΘΚΠ

the world > space > shape > curvature > [adjective] > curved line

curvilineal1656

curve-lined1657

curvilinear1668

curvilineary1679

curvilineous1684

curvital1892

1668 H. More Divine Dialogues i. xxvi. 102 This Arrow has described onely right Lines with its point, upwards and downwards, in the Air; but yet, holding the motion of the Earth, it must also have described in some sense a circular or curvilinear Line.

1668 H. More Divine Dialogues xxx. 130 The Arrow is carried in a curvilinear motion.

1728 E. Chambers Cycl. at Segment Segment is also applied by Extension, to Ellipses and other Curvilinear Figures.

a1746 C. MacLaurin Acct. Sir I. Newton's Philos. Discov. (1748) iii. iii. §1. 255 All the curvilinear motions in the solar system.

1807 T. Young Course Lect. Nat. Philos. I. xi. 116 The projection of curvilinear figures is most conveniently effected, by drawing across them parallel lines, which form small squares or rectangles, throwing these dimensions into perspective, and tracing a curve through the corresponding points.

1836 L. Herbert Engineer's & Mechanic's Encycl. II. 260 The alternating rectilinear motion of the piston rod is made to work harmoniously with the alternating curvilinear motion of a rocking beam.

1907 Proc. Amer. Acad. Arts & Sci. 43 118 The value of L₃ is the ratio of twice the curvilinear area OPD to the area of the square erected on OJ.

1931 Amer. Jrnl. Psychol. 43 27 Delage followed Mach with a study of curvilinear movement which he believed to be subjectively equal to straight-line movement.

1972 M. Kline Math. Thought iii. 41 A curvilinear figure is reduced to a rectilinear one.

2003 Educ. Stud. Math. 52 65 Mr D's questions addressed a new domain of mathematics activity in the class, namely, acceleration under curvilinear motion where the angle between velocity and acceleration changes.

2014 R. Klette Conc. Computer Vision vii. 249 The surface of a sphere can be subdivided into four curvilinear triangles.

2. That is characterized by curved lines or surfaces; forming or lying on a curved line or surface.

ΚΠ

1732 J. Gibbs Rules for drawing Archit. 37 These may serve either for Curvilinear or Flat Cielings.

1733 Dugdale & P. Shaw tr. B. Varenius et al. Compl. Syst. Gen. Geogr. II. xxiii. 529 But, it be a curvilinear Map, describe a Circle (whose Center is the Pole of the Map) that shall pass thro' the Place given.

1843 J. Ruskin Mod. Painters I. 210 The minor contours..are..beautifully curvilinear.

1865 E. B. Tylor Res. Early Hist. Mankind viii. 195 Scrapers with curvilinear edges.

1901 Ann. Math. 2 176 Assume an arbitrary system of curvilinear coordinates..on the surface.

1949 Proc. Royal Soc. A. 196 302 There has been developed a method for establishing the equations of classical hydrodynamics relative to a curvilinear system of co-ordinates.

1971 Sci. Amer. June 106/3 The decorations include geometric and curvilinear designs, animals and human figures.

2008 J. S. Feldman in N. Glazer & C. R. Field National Mall 139/1 The new curvilinear walls and walkways..guide pedestrians in an arc around its base and off the main vista.

3. Architecture. Usually with capital initial. Designating a style of English Gothic church architecture prevalent from the late 13th cent. to the mid 14th cent., typically characterized by the use of elaborate decoration in the form of intricate pattens of flowing lines and arcs; of or relating to this style.Formerly identified with the Decorated style, Curvilinear architecture is now more usually thought of as representing a distinct phase within that style.

ΚΠ

1849 E. Sharpe Treat. Decorated Window Tracery i. ii. 8 I propose..to name these three styles of Window tracery, Geometrical, Curvilinear, and Rectilinear.

1881 Hampshire Tel. 6 July 4/5 The chancel is of the curvilinear period, and the north aisle and tower are Tudor in character.

1905 F. Bond Gothic Archit. Eng. xxxiv. 501 The two Wiggenhalls, St Mary Magdalen, and St Mary the Virgin, are Curvilinear churches.

1931 Jrnl. Royal Soc. Antiquaries Ireland 61 48 Its architectural features are those of the curvilinear period of Gothic architecture.

1963 Proc. Amer. Philos. Soc. 107 279/1 The examples of this ‘curvilinear’ style..give the impression of an ordered chaos comparable to those ‘close-knit and involved intricacies’ of early insular ornamentation.

2012 J. S. Hendrix Splendor Eng. Gothic Archit. 17/1 The Percy Tomb at Beverley Minster is a masterpiece of the Curvilinear style.

4. Statistics. Designating a relationship between two or more variables whose line of best fit (best fit n. at best adj., n.¹, and adv. Compounds 2a) is a curve, as opposed to a straight line.

ΚΠ

1920 Jrnl. Educ. Res. 2 452 The coefficient of correlation will not accurately measure these curvilinear relations.

1955 Jrnl. Consulting Psychol. 19 133/2 A curvilinear relationship was predicted between Digit Symbol performance and score on the Taylor Scale of Manifest Anxiety.

1973 Econometrica 41 143 Trading volume and price change variance seem to have a curvilinear relationship.

2011 Jrnl. Children & Media 5 235 Only imitative learning and not word learning showed the curvilinear relationship to the age of the child predicted by the discounting hypothesis.

B. n.

A curvilinear figure or form.

ΚΠ

1684 J. Wallis Def. Treat. Angle of Contact vii. 103 in Treat. Algebra (1685) We are to consider farther, that there may be like Compositions of Rectilinears with Curvilinears, and of Curvilinears with one another.

1748 W. Duncan Elements Logick i. vii. 138 The Genus joined with the specifick Difference, in order to constitute the Species of Curvilinears, is that which lies nearest to the said species.

1849 W. F. Lynch Narr. U.S. Exped. River Jordan & Dead Sea ix. 203 Just above and below this spot..the river describes a series of frantic curvilinears, and returns in a contrary direction to its main course.

1967 Express & News (San Antonio, Texas) 3 Dec. 4 g/4 New patterns will incorporate outsized florals, stained glass outlining, curvilinears, three dimensional effects and abstracts.

2015 G. Koeppel City on Grid xxii. 203 No circles, ovals, stars, radials, curvilinears, or other beautifying embellishments.

This entry has been updated (OED Third Edition, September 2017; most recently modified version published online March 2022).

单词	curvilinear
释义	curvilinearadj.n. Brit. /ˌkəːvɪˈlɪnɪə/, U.S. /ˌkərvəˈlɪniər/ Origin: Formed within English, by compounding; perhaps modelled on a Latin lexical item. Etymons: curvi- comb. form, linear adj. Etymology: < curvi- comb. form + linear adj., perhaps after post-classical Latin curvilineus curvilineous adj. Compare earlier curvilineal adj. Compare also curvilineary adj., curvilineous adj. Frequently contrasted with rectilinear adj. A. adj. 1. Of a figure, angle, or area: curved; bounded or formed by one or more curved lines. Of motion, a course, or a direction: taking or having the course of a curved line. ΘΚΠ the world > space > shape > curvature > [adjective] > curved line curvilineal1656 curve-lined1657 curvilinear1668 curvilineary1679 curvilineous1684 curvital1892 1668 H. More Divine Dialogues i. xxvi. 102 This Arrow has described onely right Lines with its point, upwards and downwards, in the Air; but yet, holding the motion of the Earth, it must also have described in some sense a circular or curvilinear Line. 1668 H. More Divine Dialogues xxx. 130 The Arrow is carried in a curvilinear motion. 1728 E. Chambers Cycl. at Segment Segment is also applied by Extension, to Ellipses and other Curvilinear Figures. a1746 C. MacLaurin Acct. Sir I. Newton's Philos. Discov. (1748) iii. iii. §1. 255 All the curvilinear motions in the solar system. 1807 T. Young Course Lect. Nat. Philos. I. xi. 116 The projection of curvilinear figures is most conveniently effected, by drawing across them parallel lines, which form small squares or rectangles, throwing these dimensions into perspective, and tracing a curve through the corresponding points. 1836 L. Herbert Engineer's & Mechanic's Encycl. II. 260 The alternating rectilinear motion of the piston rod is made to work harmoniously with the alternating curvilinear motion of a rocking beam. 1907 Proc. Amer. Acad. Arts & Sci. 43 118 The value of L₃ is the ratio of twice the curvilinear area OPD to the area of the square erected on OJ. 1931 Amer. Jrnl. Psychol. 43 27 Delage followed Mach with a study of curvilinear movement which he believed to be subjectively equal to straight-line movement. 1972 M. Kline Math. Thought iii. 41 A curvilinear figure is reduced to a rectilinear one. 2003 Educ. Stud. Math. 52 65 Mr D's questions addressed a new domain of mathematics activity in the class, namely, acceleration under curvilinear motion where the angle between velocity and acceleration changes. 2014 R. Klette Conc. Computer Vision vii. 249 The surface of a sphere can be subdivided into four curvilinear triangles. 2. That is characterized by curved lines or surfaces; forming or lying on a curved line or surface. ΚΠ 1732 J. Gibbs Rules for drawing Archit. 37 These may serve either for Curvilinear or Flat Cielings. 1733 Dugdale & P. Shaw tr. B. Varenius et al. Compl. Syst. Gen. Geogr. II. xxiii. 529 But, it be a curvilinear Map, describe a Circle (whose Center is the Pole of the Map) that shall pass thro' the Place given. 1843 J. Ruskin Mod. Painters I. 210 The minor contours..are..beautifully curvilinear. 1865 E. B. Tylor Res. Early Hist. Mankind viii. 195 Scrapers with curvilinear edges. 1901 Ann. Math. 2 176 Assume an arbitrary system of curvilinear coordinates..on the surface. 1949 Proc. Royal Soc. A. 196 302 There has been developed a method for establishing the equations of classical hydrodynamics relative to a curvilinear system of co-ordinates. 1971 Sci. Amer. June 106/3 The decorations include geometric and curvilinear designs, animals and human figures. 2008 J. S. Feldman in N. Glazer & C. R. Field National Mall 139/1 The new curvilinear walls and walkways..guide pedestrians in an arc around its base and off the main vista. 3. Architecture. Usually with capital initial. Designating a style of English Gothic church architecture prevalent from the late 13th cent. to the mid 14th cent., typically characterized by the use of elaborate decoration in the form of intricate pattens of flowing lines and arcs; of or relating to this style.Formerly identified with the Decorated style, Curvilinear architecture is now more usually thought of as representing a distinct phase within that style. ΚΠ 1849 E. Sharpe Treat. Decorated Window Tracery i. ii. 8 I propose..to name these three styles of Window tracery, Geometrical, Curvilinear, and Rectilinear. 1881 Hampshire Tel. 6 July 4/5 The chancel is of the curvilinear period, and the north aisle and tower are Tudor in character. 1905 F. Bond Gothic Archit. Eng. xxxiv. 501 The two Wiggenhalls, St Mary Magdalen, and St Mary the Virgin, are Curvilinear churches. 1931 Jrnl. Royal Soc. Antiquaries Ireland 61 48 Its architectural features are those of the curvilinear period of Gothic architecture. 1963 Proc. Amer. Philos. Soc. 107 279/1 The examples of this ‘curvilinear’ style..give the impression of an ordered chaos comparable to those ‘close-knit and involved intricacies’ of early insular ornamentation. 2012 J. S. Hendrix Splendor Eng. Gothic Archit. 17/1 The Percy Tomb at Beverley Minster is a masterpiece of the Curvilinear style. 4. Statistics. Designating a relationship between two or more variables whose line of best fit (best fit n. at best adj., n.¹, and adv. Compounds 2a) is a curve, as opposed to a straight line. ΚΠ 1920 Jrnl. Educ. Res. 2 452 The coefficient of correlation will not accurately measure these curvilinear relations. 1955 Jrnl. Consulting Psychol. 19 133/2 A curvilinear relationship was predicted between Digit Symbol performance and score on the Taylor Scale of Manifest Anxiety. 1973 Econometrica 41 143 Trading volume and price change variance seem to have a curvilinear relationship. 2011 Jrnl. Children & Media 5 235 Only imitative learning and not word learning showed the curvilinear relationship to the age of the child predicted by the discounting hypothesis. B. n. A curvilinear figure or form. ΚΠ 1684 J. Wallis Def. Treat. Angle of Contact vii. 103 in Treat. Algebra (1685) We are to consider farther, that there may be like Compositions of Rectilinears with Curvilinears, and of Curvilinears with one another. 1748 W. Duncan Elements Logick i. vii. 138 The Genus joined with the specifick Difference, in order to constitute the Species of Curvilinears, is that which lies nearest to the said species. 1849 W. F. Lynch Narr. U.S. Exped. River Jordan & Dead Sea ix. 203 Just above and below this spot..the river describes a series of frantic curvilinears, and returns in a contrary direction to its main course. 1967 Express & News (San Antonio, Texas) 3 Dec. 4 g/4 New patterns will incorporate outsized florals, stained glass outlining, curvilinears, three dimensional effects and abstracts. 2015 G. Koeppel City on Grid xxii. 203 No circles, ovals, stars, radials, curvilinears, or other beautifying embellishments. This entry has been updated (OED Third Edition, September 2017; most recently modified version published online March 2022). < adj.n.1668
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