prismatoidadj.n.

Brit.

/ˈprɪzmətɔɪd/, U.S.

/ˈprɪzməˌtɔɪd/

Origin: A borrowing from Greek, combined with an English element. Etymons: Greek πρισματ- , πρῖσμα , -oid suffix.

Etymology: < ancient Greek πρισματ-, πρῖσμα prism n. + -oid suffix. Compare earlier prismoidal adj., prismoid adj., and prismatoidal adj.With prismatoid formula at sense A. 2 compare prismoidal formula n. at prismoidal adj. Compounds. R. G. Mayne (see quot. 1858 at sense A. 1) gives also a scientific Latin form prismatoides.

A. adj.

†1. Crystallography. Relating to or designating a plane or face which is parallel to one crystal axis and intersects the other two. Cf. octahedrid adj., pinacoid adj. Obsolete.

ΚΠ

1858 R. G. Mayne Expos. Lexicon Med. Sci. (1860) 1016/2 Prismatoides, resembling a prism; applied to a single cleavage face that is parallel to the axis: prismatoid; also erroneously translated prismatoidal.

1895 N. Story-Maskelyne Crystallogr. ii. 20 Planes parallel to a single axis but meeting the other two axes, and having therefore one zero in their symbol, will be termed Prismatoid planes... Each prismatoid plane may be said to lie in or belong to two adjacent octants.

2. Chiefly Geometry. Relating to a prismatoid; prismoidal. prismatoid formula = prismoidal formula n. at prismoidal adj. Compounds.

ΚΠ

1898 Amer. Math. Monthly 5 110 The same method applies to frustums of pyramids, and all solids coming under the prismatoid formula as special cases.

1922 Amer. Math. Monthly 29 159 The prismatoid formula is that special case of Cotes' formula of approximate integration.

1997 Materials Sci. & Engin. B 46 199/2 Consider the most simple case of prismatoid SiC nuclei with a quadratic base on the silicon surface.

2003 Foundry Trade Jrnl. (Nexis) 1 Apr. 24 All the metallics are thoroughly cleaned by a recirculating bed of prismatoid media, which also protects and cools the castings.

B. n.

Geometry. A generalized polyhedron all of whose vertices lie in one or other of two parallel planes.The end faces are parallel polygons (not necessarily similar) and the lateral faces triangles, parallelograms, or trapezia. Examples of prismatoids are prisms, pyramids, and the cube.

ΚΠ

1881 G. B. Halstead Elem. Treat. Mensuration v. 99 These outer planes form the sides, and the given polygons the bases of a solid called a prismatoid.

1902 Science 25 July 132/1 Then all the ordinary solids are forms of prismatoids.

1979 Amer. Math. Monthly 86 486 It may happen that figures seemingly quite different have identical expressions for their areas or volumes. This is true for..the prismatoid, and for the generalized prismoid.

1991 College Math. Jrnl. 22 319 Each slab of a step pyramid is a prismatoid having for bases two rectangles in parallel planes.

This entry has been updated (OED Third Edition, June 2007; most recently modified version published online March 2022).

单词	prismatoid
释义	prismatoidadj.n. Brit. /ˈprɪzmətɔɪd/, U.S. /ˈprɪzməˌtɔɪd/ Origin: A borrowing from Greek, combined with an English element. Etymons: Greek πρισματ- , πρῖσμα , -oid suffix. Etymology: < ancient Greek πρισματ-, πρῖσμα prism n. + -oid suffix. Compare earlier prismoidal adj., prismoid adj., and prismatoidal adj.With prismatoid formula at sense A. 2 compare prismoidal formula n. at prismoidal adj. Compounds. R. G. Mayne (see quot. 1858 at sense A. 1) gives also a scientific Latin form prismatoides. A. adj. †1. Crystallography. Relating to or designating a plane or face which is parallel to one crystal axis and intersects the other two. Cf. octahedrid adj., pinacoid adj. Obsolete. ΚΠ 1858 R. G. Mayne Expos. Lexicon Med. Sci. (1860) 1016/2 Prismatoides, resembling a prism; applied to a single cleavage face that is parallel to the axis: prismatoid; also erroneously translated prismatoidal. 1895 N. Story-Maskelyne Crystallogr. ii. 20 Planes parallel to a single axis but meeting the other two axes, and having therefore one zero in their symbol, will be termed Prismatoid planes... Each prismatoid plane may be said to lie in or belong to two adjacent octants. 2. Chiefly Geometry. Relating to a prismatoid; prismoidal. prismatoid formula = prismoidal formula n. at prismoidal adj. Compounds. ΚΠ 1898 Amer. Math. Monthly 5 110 The same method applies to frustums of pyramids, and all solids coming under the prismatoid formula as special cases. 1922 Amer. Math. Monthly 29 159 The prismatoid formula is that special case of Cotes' formula of approximate integration. 1997 Materials Sci. & Engin. B 46 199/2 Consider the most simple case of prismatoid SiC nuclei with a quadratic base on the silicon surface. 2003 Foundry Trade Jrnl. (Nexis) 1 Apr. 24 All the metallics are thoroughly cleaned by a recirculating bed of prismatoid media, which also protects and cools the castings. B. n. Geometry. A generalized polyhedron all of whose vertices lie in one or other of two parallel planes.The end faces are parallel polygons (not necessarily similar) and the lateral faces triangles, parallelograms, or trapezia. Examples of prismatoids are prisms, pyramids, and the cube. ΚΠ 1881 G. B. Halstead Elem. Treat. Mensuration v. 99 These outer planes form the sides, and the given polygons the bases of a solid called a prismatoid. 1902 Science 25 July 132/1 Then all the ordinary solids are forms of prismatoids. 1979 Amer. Math. Monthly 86 486 It may happen that figures seemingly quite different have identical expressions for their areas or volumes. This is true for..the prismatoid, and for the generalized prismoid. 1991 College Math. Jrnl. 22 319 Each slab of a step pyramid is a prismatoid having for bases two rectangles in parallel planes. This entry has been updated (OED Third Edition, June 2007; most recently modified version published online March 2022). < adj.n.1858
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