developableadj.n.

Brit.

/dᵻˈvɛləpəbl/, U.S.

/dəˈvɛləpəbəl/

Origin: Formed within English, by derivation. Etymons: develop v., -able suffix.

Etymology: < develop v. + -able suffix.In the specific uses in mathematics after French développable (1799 with reference to a curved surface, 1804 or earlier with reference to a function); with use as noun, compare French développable , feminine noun (1800 or earlier; short for surface développable ). With use in sense A. 3 compare French développable (similar uses of which are attested from 1809).

A. adj.

1. Geometry. Of a curved surface: capable of being mapped onto a plane surface in such a way that no distortion or discontinuities occur and so as to be analogous to an unfurling or flattening of the original surface or curve.

ΚΠ

1807 J. Pond tr. S. F. Lacroix in J. Pinkerton Mod. Geogr. (rev. ed.) I. p. cxvi/1 Curved surfaces..are divided into two classes; some, like those of cones and cylinders, being capable of extension on a plane, without rent or fold, whence they are called developable surfaces [Fr. surfaces développables].

1866 R. A. Proctor Handbk. Stars 16 (note) Even such narrow strips of a globe are not developable.

1926 Math. Gaz. 13 1 When the surface is developable, and the ‘curves’ are the generators of one system, the focal curve is the edge of regression.

1957 Encycl. Brit. VII. 366/1 The Gaussian curvature of a developable surface is zero.

2001 E. Ventsel & T. Krauthammer Thin Plates & Shells xi. 316 Developable surfaces are defined as surfaces that can be ‘developed’ into a plane form without cutting and/or stretching their middle surface.

2. Of a function: capable of being expressed as an infinite series to which it is equivalent for a certain range of values. rare.

ΚΠ

1816 J. F. W. Herschel in tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus (App.) 488 Supposing f(Δ) to represent any function of Δ developable in powers of Δ..etc.

1862 Q. Jrnl. Pure & Appl. Math. 5 193 Let ϕx be a developable function.

1938 Amer. Math. Monthly 45 325 Since this function is developable in a power series with constant term unity, its reciprocal also has a power series expansion.

3. gen. Capable of developing or being developed (in various senses of the verb).

ΘΚΠ

the world > existence and causation > creation > [adjective] > developing > capable of being developed

evolvable1805

developable1835

1835 R. F. Wilson Let. in J. H. Newman Lett. (1891) II. 139 Principles..only developable under one form.

1865 W. J. Wilkinson Personal Names in Bible ix. 360 It is the nature of symbolical names used sacramentally to possess a developable significance.

1875 W. D. Whitney Life & Growth Lang. xiv. 292 Instinctive gesture, developable into a complete system of expression.

1879 Contemp. Rev. Nov. 537 It now becomes a moving and developable moral sense.

1925 D. Drake Mind & its Place in Nature xvii. 221 This sensori-motor system is so intricate, so delicate, so developable by use.

1996 Independent 1 Aug. 20 It would be easy to add many more pieces of advice based on such developable talents as being a good listener or valuing your team.

2011 New Eng. Q. 84 78 The process of elevation needed to work upon developable material.

4. Photography. Of a photographic film or latent image (or a component of it): capable of being developed (develop v. 4a).

ΘΚΠ

society > leisure > the arts > visual arts > photography > photographic processes > [adjective] > developable

developable1858

1858 T. Sutton Dict. Photogr. 353 If, by the excessive action of light, the developable material in the sensitive film be reduced nearly to the metallic state, then it is easy to conceive that it could not be intensified.

1878 W. de W. Abney Treat. Photogr. iv. 30 An exposure in the camera to produce a developable image would have to be very prolonged.

1907 Westm. Gaz. 26 Oct. 13/2 They take only a short time to produce a developable condition in the emulsion.

1957 Pop. Sci. May 81/2 From a 100-foot roll, only about 20 feet of developable film is recovered.

2008 B. Brown Motion Picture & Video Lighting (ed. 2) 105 Most color films generally take 20 to 60 photons per grain to produce a developable latent image.

5. Of land or property: able to be adapted, improved, or developed (cf. develop v. 10).

ΚΠ

1909 Times 12 Aug. 6/3 Is that land to be taxed as developable land or is it to be exempted?

1938 Daily Mail (Hull) 15 June 4/2 The council had no right to even contemplate the sale of any portion of the developable land for building purposes.

1999 N.Y. Times 14 Feb. (Real Estate) 7/5 The owners will have to be able to acquire vacant property at prices no higher than about $10,000 to $15,000 per developable apartment.

2011 Private Eye 4 Mar. 37/1 (advt.,) Two couples looking for developable plot in N/NW/Central London. Gone cool on energy-wasteful housing stock, want to build eco-friendly abode.

B. n.

Mathematics. A developable surface.

ΘΚΠ

the world > relative properties > number > geometry > surface > [noun]

superficec1400

superficies1530

surface1604

superficie1702

wave-surface1833

developable1847

quartic1854

scroll1862

conicoid1863

regulus1874

Riemann surface1876

tetrahedroid1889

construct1902

skew1902

trend surface1956

1847 Cambr. & Dublin Math. Jrnl. 2 148 In the present case also the principal point of every tangent plane to either of the two developables is on its edge of contact.

1874 G. Salmon Treat. Analytic Geom. Three Dimensions (ed. 3) §305 The locus of points where two consecutive generators of a developable intersect is a curve..which is called the cuspidal edge of that developable.

1917 Amer. Jrnl. Math. 39 236 Two parallel geodesics on an arbitrary developable are related by such a transformation.

1972 M. Kline Math. Thought xxiii. 566 As one moves along the curve the normal planes envelop a developable surface, called the polar developable.

2012 D. C. Kay College Geom. ix. 543 A more general theorem from differential geometry states that any two developables are locally isometric.

This entry has been updated (OED Third Edition, September 2016; most recently modified version published online March 2022).

单词	developable
释义	developableadj.n. Brit. /dᵻˈvɛləpəbl/, U.S. /dəˈvɛləpəbəl/ Origin: Formed within English, by derivation. Etymons: develop v., -able suffix. Etymology: < develop v. + -able suffix.In the specific uses in mathematics after French développable (1799 with reference to a curved surface, 1804 or earlier with reference to a function); with use as noun, compare French développable , feminine noun (1800 or earlier; short for surface développable ). With use in sense A. 3 compare French développable (similar uses of which are attested from 1809). A. adj. 1. Geometry. Of a curved surface: capable of being mapped onto a plane surface in such a way that no distortion or discontinuities occur and so as to be analogous to an unfurling or flattening of the original surface or curve. ΚΠ 1807 J. Pond tr. S. F. Lacroix in J. Pinkerton Mod. Geogr. (rev. ed.) I. p. cxvi/1 Curved surfaces..are divided into two classes; some, like those of cones and cylinders, being capable of extension on a plane, without rent or fold, whence they are called developable surfaces [Fr. surfaces développables]. 1866 R. A. Proctor Handbk. Stars 16 (note) Even such narrow strips of a globe are not developable. 1926 Math. Gaz. 13 1 When the surface is developable, and the ‘curves’ are the generators of one system, the focal curve is the edge of regression. 1957 Encycl. Brit. VII. 366/1 The Gaussian curvature of a developable surface is zero. 2001 E. Ventsel & T. Krauthammer Thin Plates & Shells xi. 316 Developable surfaces are defined as surfaces that can be ‘developed’ into a plane form without cutting and/or stretching their middle surface. 2. Of a function: capable of being expressed as an infinite series to which it is equivalent for a certain range of values. rare. ΚΠ 1816 J. F. W. Herschel in tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus (App.) 488 Supposing f(Δ) to represent any function of Δ developable in powers of Δ..etc. 1862 Q. Jrnl. Pure & Appl. Math. 5 193 Let ϕx be a developable function. 1938 Amer. Math. Monthly 45 325 Since this function is developable in a power series with constant term unity, its reciprocal also has a power series expansion. 3. gen. Capable of developing or being developed (in various senses of the verb). ΘΚΠ the world > existence and causation > creation > [adjective] > developing > capable of being developed evolvable1805 developable1835 1835 R. F. Wilson Let. in J. H. Newman Lett. (1891) II. 139 Principles..only developable under one form. 1865 W. J. Wilkinson Personal Names in Bible ix. 360 It is the nature of symbolical names used sacramentally to possess a developable significance. 1875 W. D. Whitney Life & Growth Lang. xiv. 292 Instinctive gesture, developable into a complete system of expression. 1879 Contemp. Rev. Nov. 537 It now becomes a moving and developable moral sense. 1925 D. Drake Mind & its Place in Nature xvii. 221 This sensori-motor system is so intricate, so delicate, so developable by use. 1996 Independent 1 Aug. 20 It would be easy to add many more pieces of advice based on such developable talents as being a good listener or valuing your team. 2011 New Eng. Q. 84 78 The process of elevation needed to work upon developable material. 4. Photography. Of a photographic film or latent image (or a component of it): capable of being developed (develop v. 4a). ΘΚΠ society > leisure > the arts > visual arts > photography > photographic processes > [adjective] > developable developable1858 1858 T. Sutton Dict. Photogr. 353 If, by the excessive action of light, the developable material in the sensitive film be reduced nearly to the metallic state, then it is easy to conceive that it could not be intensified. 1878 W. de W. Abney Treat. Photogr. iv. 30 An exposure in the camera to produce a developable image would have to be very prolonged. 1907 Westm. Gaz. 26 Oct. 13/2 They take only a short time to produce a developable condition in the emulsion. 1957 Pop. Sci. May 81/2 From a 100-foot roll, only about 20 feet of developable film is recovered. 2008 B. Brown Motion Picture & Video Lighting (ed. 2) 105 Most color films generally take 20 to 60 photons per grain to produce a developable latent image. 5. Of land or property: able to be adapted, improved, or developed (cf. develop v. 10). ΚΠ 1909 Times 12 Aug. 6/3 Is that land to be taxed as developable land or is it to be exempted? 1938 Daily Mail (Hull) 15 June 4/2 The council had no right to even contemplate the sale of any portion of the developable land for building purposes. 1999 N.Y. Times 14 Feb. (Real Estate) 7/5 The owners will have to be able to acquire vacant property at prices no higher than about $10,000 to $15,000 per developable apartment. 2011 Private Eye 4 Mar. 37/1 (advt.,) Two couples looking for developable plot in N/NW/Central London. Gone cool on energy-wasteful housing stock, want to build eco-friendly abode. B. n. Mathematics. A developable surface. ΘΚΠ the world > relative properties > number > geometry > surface > [noun] superficec1400 superficies1530 surface1604 superficie1702 wave-surface1833 developable1847 quartic1854 scroll1862 conicoid1863 regulus1874 Riemann surface1876 tetrahedroid1889 construct1902 skew1902 trend surface1956 1847 Cambr. & Dublin Math. Jrnl. 2 148 In the present case also the principal point of every tangent plane to either of the two developables is on its edge of contact. 1874 G. Salmon Treat. Analytic Geom. Three Dimensions (ed. 3) §305 The locus of points where two consecutive generators of a developable intersect is a curve..which is called the cuspidal edge of that developable. 1917 Amer. Jrnl. Math. 39 236 Two parallel geodesics on an arbitrary developable are related by such a transformation. 1972 M. Kline Math. Thought xxiii. 566 As one moves along the curve the normal planes envelop a developable surface, called the polar developable. 2012 D. C. Kay College Geom. ix. 543 A more general theorem from differential geometry states that any two developables are locally isometric. This entry has been updated (OED Third Edition, September 2016; most recently modified version published online March 2022). < adj.n.1807
随便看	to err in good company to err on the side of to err on the side of caution to err on the —— side to escape a person's lips to escape lips to escape quit to escape scot-free to escape scotfree to escry him, them, etc to or unto death to essentiate together to essoin one's attendance to establish a bracket to establish a suit to estate out to etc a bad patch to etc a banker to etc a big hand to etc a blue streak to etc a brick wall to etc a bug in a person's ear to etc a discreet veil over to etc a etc hand to etc a feel for to etc a fire under