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单词 polyhedron
释义

polyhedronn.

Brit. /ˌpɒlɪˈhiːdr(ə)n/, U.S. /ˌpɑliˈhidr(ə)n/
Inflections: Plural polyhedra, polyhedrons.
Forms: 1500s–1800s polyedron, 1500s– polyhedron, 1600s polyhedrum, 1600s–1700s polyedrum.
Origin: Formed within English, by compounding; modelled on a Latin lexical item. Etymons: poly- comb. form, -hedron comb. form.
Etymology: < poly- comb. form + -hedron comb. form, after post-classical Latin polyedrum solid figure or body having many plane faces (1569 in the passage translated in quot. 1636 at sense 1) < Hellenistic Greek πολύεδρος having many seats (Plutarch) < ancient Greek πολυ- poly- comb. form + ἕδρα seat, in Hellenistic Greek also face of a solid figure (see -hedron comb. form). Compare tetrahedron n., octahedron n., icosahedron n., etc.Compare post-classical Latin octahedrum , octaedrum octahedron n., pentaedrum pentahedron n. N.E.D. (1907) also gives the pronunciation (pǫlihe·drǫ̆n) /pɒlɪˈhɛdrən/.
1. A solid figure or body having many (usually more than six) plane faces. Also figurative.
ΘΚΠ
the world > relative properties > number > geometry > shape or figure > [noun] > three-dimensional > polyhedron
polyhedron1570
pyritohedron1841
polyacron1862
1570 H. Billingsley tr. Euclid Elements Geom. xii. f. 376v A solide of many sides (which is called a Polyhedron).
1636 W. Bedwell tr. P. de la Ramée Via Regia ad Geometriam xxv. 271 A mingled ordinate polyedrum [L. polyedrum] is a pyramidate, compounded of pyramides with their toppes meeting in the center.
a1678 J. Newton Cosmographia (1679) v. 20 A Prism is either a Pentahedron, a Hexahedron, or a Polyhedron.
1690 W. Leybourn Cursus mathematicus 289 In the Sphere EDF inscribe a Polyedron.
1714 W. Whiston Elements Euclid viii. 34 If the solid Angles of this Polyedrum be again cut off by new tangent Plains.
1762 H. Walpole Vertue's Anecd. Painting I. vii. 167 Holding a pair of compasses, and by his side a Polyedron, composed of twelve pentagons.
1821 N. Amer. Rev. Oct. 378 A regular polyedron is supposed to be constructed.
1851 J. Hamilton Royal Preacher (1854) xiv. 180 They are the polyhedrons of the Church, each punctilio of their own forming a several face.
1871 J. Tyndall Fragm. Sci. xii. 418 The little polyhedra become converted into laminæ.
1947 R. Courant & H. E. Robbins What is Math.? (ed. 4) v. 240 On the basis of Euler's formula it is easy to show that there are no more than five regular polyhedra.
1998 E. Davis TechGnosis vii. 193 Each monitor screen became a window into..a VRML world whose pentagrams and colored polyhedrons mirrored the actual room's magic circle.
2. A lens that is plane on one side and is cut into many plane facets on the other, multiplying the image of an object; = polyscope n. 1. Cf. multiplying-glass n. 2. Obsolete.
ΘΚΠ
the world > physical sensation > sight and vision > optical instruments > magnification or magnifying instruments > [noun] > multiplying glass
multiplying-glass1628
polyscope1684
polyhedron1721
polyoptron1728
1721 J. T. Desaguliers tr. W. J. 's Gravesande Math. Elements Nat. Philos. II. iii. xi. 73 Thro' such a lens, which is a Polyhedron (or Multiplying Glass) [L. per talem lentem polygonam] the Object appears multiplied.
1764 T. Reid Inq. Human Mind vi. xii. 308 Instances wherein the same object may appear double, triple, or quadruple to one eye, without the help of a polyhedron or multiplying glass.
This entry has been updated (OED Third Edition, September 2006; most recently modified version published online March 2022).
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