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单词 frustum
释义

frustumn.

Brit. /ˈfrʌstəm/, U.S. /ˈfrəstəm/
Forms: Plural frusta, frustums. Also irregular1600s–1800s frustrum.
Etymology: < Latin frustum piece broken off.
1.
a. Mathematics. The portion of a regular solid left after cutting off the upper part by a plane parallel to the base; or the portion intercepted between two planes, either parallel or inclined to each other.
ΘΚΠ
the world > relative properties > number > geometry > shape or figure > [noun] > three-dimensional > formed by cutting solid
segment of a sphere1570
sector of a sphere1656
frustum1658
truncated cone or pyramid1704
frustulum1785
wedge1883
1658 Sir T. Browne Garden of Cyrus iii, in Hydriotaphia: Urne-buriall 155 In the parts thereof [i.e. of plants] we finde..frustums of Archimedes.
1669 Philos. Trans. (Royal Soc.) 4 960 The Axis of a Pyramid..and of a Figure of different Bases, which he calls a Frustrum of a Prisme.
1706 W. Jones Synopsis Palmariorum Matheseos 265 The..Frustrums of Spheres, cut by parallel Planes, are equal to the corresponding Surfaces of the Sphere's Circumscr. Cylinder.
1779 T. Forrest Voy. New Guinea 49 We could see within the straits a hill with a flat top, like what is called the frustum of a cone.
1814 J. Playfair Outl. Nat. Philos. II. ii. v. 291 This proposition is easily proved of pyramids, and frusta of pyramids, of which the solid angle is indefinitely small.
1828 J. M. Spearman Brit. Gunner 378 The difference between the two piles thus found will be the number in the frustum or incomplete pile.
1860 M. F. Maury Physical Geogr. Sea (ed. 8) iv. §218 We may..liken this belt of winds which encircles the earth.. to the frustum of a hollow cone.
b. Applied to the sections of the shaft of a column.
ΘΚΠ
society > leisure > the arts > visual arts > architecture > column > [noun] > shaft of column > section
frustum1835
1835 N. P. Willis Pencillings II. xl. 23 We were directed to it by thirteen or fourteen frustra of enormous columns.
1850 J. Leitch tr. K. O. Müller Ancient Art (new ed.) §286. 316 A truncated pillar, or frustum of a column.
2. gen. A portion or fragment of anything material or immaterial. rare.
ΘΚΠ
the world > relative properties > wholeness > incompleteness > part of whole > [noun] > a separate part > a piece or bit
stitchc825
piecec1230
nookc1300
crotc1330
gobbetc1330
batc1340
lipe1377
gobbona1387
bladc1527
goblet1530
slice1548
limb1577
speild1653
swatch1697
frustum1721
nib1877
1721 N. Bailey Universal Etymol. Eng. Dict. Frustum, a Fragment, a broken Piece.
a1734 R. North Examen (1740) iii. viii. 624 This Frustum of a Libel is grafted into his pious History.
1812 G. Crabbe Tales vii. 128 She minc'd the sanguine flesh in frustums fine.
1812 J. Jebb Let. 22 Aug. in J. Jebb & A. Knox Thirty Years' Corr. (1834) II. 94 What I would deprecate is, putting into people's hands the frusta of a system.
This entry has not yet been fully updated (first published 1898; most recently modified version published online June 2022).
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n.1658
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