trapezoid

Definitions

  • WordNet 3.6
    • n trapezoid the wrist bone between the trapezium and the capitate bones
    • n trapezoid a quadrilateral with two parallel sides
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Webster's Revised Unabridged Dictionary
    • Trapezoid (Anat) A bone of the carpus at the base of the second metacarpal, or index finger.
    • Trapezoid (Geom) A plane four-sided figure, having two sides parallel to each other.
    • Trapezoid Having the form of a trapezoid; trapezoidal; as, the trapezoid ligament which connects the coracoid process and the clavicle.
    • Trapezoid (Anat) Of or pertaining to the trapezoid ligament; as, the trapezoid line.
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Century Dictionary and Cyclopedia
    • n trapezoid In anthropology, a type of cranium with somewhat flattened vertex and basal region which are approximately in parallel planes.
    • trapezoid Having the shape of a trapezoid. See II., 1.
    • n trapezoid In geometry, a plane four-sided figure having two of its opposite sides parallel, and the other two not so.
    • n trapezoid In anatomy and zoology, the trapezoid bone, one of the bones of the wrist, so called from its shape; the second one of the distal row of carpal bones, on the radial or thumb side, between the trapezium and the magnum, in special relation with the head of the second metacarpal bone; carpale II. of the typical carpus. Also called multangulum minus, and trapezoides, trapezoideum. See cuts under Artiodactyla, pisiform, hand, and scapholunar.
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Chambers's Twentieth Century Dictionary
    • n Trapezoid a plane four-sided figure like a trapezium, having two of its opposite sides parallel
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Etymology

Webster's Revised Unabridged Dictionary
Gr. trapezoid-shaped; table + shape, likeness: cf. F. trapézoïde,. See Trapezium
Chambers's Twentieth Century Dictionary
Gr. trapezion dim. of trapeza, a table; from tetra, four, pous, podos, a foot.

Usage

In literature:

The town-planning of Pompeii is in the main trapezoidal, not rectangular.
"Ancient Town-Planning" by F. Haverfield
The superstructure is of wrought iron, mainly trapezoidal trusses, varying in length from 45 feet to 150 feet.
"Scientific American Supplement, No. 613, October 1, 1887" by Various
This entire section appears to be trapezoidal.
"Historical Introduction to Studies Among the Sedentary Indians of New Mexico; Report on the Ruins of the Pueblo of Pecos" by Adolphus Bandelier
Double triangle; median trapezoid 720 327.
"Archeological Expedition to Arizona in 1895" by Jesse Walter Fewkes
The labrum, or upper lip, is separated by a deep suture from the clypeus, and is trapezoidal in form.
"Our Common Insects" by Alpheus Spring Packard
The labrum is prominent, white and trapezoidal.
"The Glow-Worm and Other Beetles" by Jean Henri Fabre
The bricks composing it are trapezoidal in shape, two of their edges being slightly rounded, the one concave, the other convex.
"A History of Art in Chaldæa & Assyria, v. 1" by Georges Perrot
T, T, The trapezium and trapezoid bones.
"A Treatise on Anatomy, Physiology, and Hygiene (Revised Edition)" by Calvin Cutter
They have the shape of a trapezoid or frustum.
"Hand-Book of Practical Cookery for Ladies and Professional Cooks" by Pierre Blot
Side and top sections are joined with seams, reinforced by finger impressions, meeting at top of trapezoidal opening.
"North Devon Pottery and Its Export to America in the 17th Century" by C. Malcolm Watkins
Similarly two trapezoids of equal dimensions and areas may be constructed.
"Visual Illusions" by Matthew Luckiesh
As there is no common name for this figure, name it trapezoid at once.
"Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy." by Elizabeth P. Peabody
The term "isosceles trapezoid" is used to mean a trapezoid with two opposite sides equal, but not parallel.
"The Teaching of Geometry" by David Eugene Smith
They consisted of shutters stiffened with four trapezoidal trusses.
"ASCE 1193: The Water-Works and Sewerage of Monterrey, N. L., Mexico" by George Robert Graham Conway
The general form {hkl} is bounded by eight trapezoidal faces and is the tetragonal trapezohedron.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 7" by Various
The magnum and trapezoid, however, are fused.
"The Cambridge Natural History, Vol X., Mammalia" by Frank Evers Beddard
The scalpel handle consists, as a rule, of a bar of bronze, which may be round, square, hexagonal, or trapezoidal in section.
"Surgical Instruments in Greek and Roman Times" by John Stewart Milne
In channels of trapezoidal form the velocity increases and diminishes with the discharge.
"Encyclopaedia Britannica, 11th Edition, Volume 14, Slice 1" by Various
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In news:

Stripes, triangles, heptagons, octagons, decagons, dodecagons, trapezoids: The Nova collection of area rugs-in wool, silk, or both-could jog your knowledge of geometric jargon.
Analysis of windrows and aerated trapezoidal piles of varying depths highlights options to increase capacity on the same footprint.
Wrangler Unlimited Rubicon continues with classic round headlights, seven-slot jailbar grille, trapezoid wheel flares, removable doors and upright windshield.
Many manufacturers prefer to use roughing hobs with a trapezoidal profile to rough straight side splines in part because it is less expensive to manufacture the tools.
Unlike hobs with two-radius sides, trapezoidal hobs require no special machines to generate the tooth forms.
A crotch region supports a plurality of absorbent pads within the garment and front and rear panels comprise a laterally-oriented trapezoidal aperture in one of the front and rear panels.
Trapezoid is 'worst thing ever invented in hockey'.
Revision of D5587 - 08 Standard Test Method for Tearing Strength of Fabrics by Trapezoid Procedure.
Dance of the Trapezoid .
Within the framework of continuous and multi-resources cumulative constraints, a task T expresses a piecewise linear resource function and is represented by a sequence of p contiguous trapezoid sub-tasks with variable durations and heights.
Volvo C30 was restyled last year with a new front fascia, fenders, a new honeycomb grille and trapezoidal headlights.
That's the trapezoid-shaped port—most HDTVs have at least 3 of them.
That aggressive styling still looks fresh today, with the Lancer 's trademark trapezoidal grille, angular headlamps, and slit-like taillamps.
Any shape you're in is a shape — even if you're trapezoidal.
The Bader & Garrin-designed sparkler features an approximately 4-carat stone in the center and trapezoid diamonds on the side.
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In science:

The convergence rate of this method is the same as the trapezoidal rule.
The Nystr\"om method for functional quantization with an application to the fractional Brownian motion
DRAGOMIR, Trapezoidal-type rules from an inequalities point of view, in Handbook of Analytic-Computational Methods in Applied Mathematics, G.A.
A Generalised Trapezoid Type Inequality for Convex Functions
Ostrowski’s inequality, Trapezoid rule, Midpoint rule.
Some Companions of Ostrowski's Inequality for Absolutely Continuous Functions and Applications
Similar considerations also hold for the NIAF2 model, but thin trapezoidal shapes, such as those which appear in Fig. 1, also must be considered.
Schematic models for fragmentation of brittle solids in one and two dimensions
As a next example we consider a model inductor consisting of two coaxial mirror-symmetric rings of trapezoidal crosssection as shown in Fig. 3 related to the crystal growth application by the floating zone technique .
Boundary-integral method for poloidal axisymmetric AC magnetic fields
We also try to evaluate the same value by using Euler’s integral representation and trapezoidal rule.
Numerical Evaluation of Generalized Hypergeometric Functions for Degenerated Values of Parameters
PHOBOS has recently created a new method that is based on a direct measure of v2 on an event-by-event basis using a maximum likelihood fit assuming that the shape of v2 in pseudo-rapidity is either triangular or trapezoidal and that utilizes the unique large pseudorapidity coverage of the PHOBOS detector [14, 15].
Recent Results from PHOBOS
We do not know any interesting statistics of trapezoidal words that correspond to other statistics of plane recursive trees or Stirling permutations such as Nnd (d ≥ 1) or the triple (Xn , Yn , Zn ).
Plane recursive trees, Stirling permutations and an urn model
Each term in (iii) may thus be identified as the image of its counterpart in the induced map of mapping cones given by the lower trapezoid of this diagram.
Whitehead products in function spaces: Quillen model formulae
Listing the ordinates of the upstep tops is a bijection to trapezoidal words.
A combinatorial survey of identities for the double factorial
Cn −→ path and set of lattice points The ordinates of the lattice points with a prepended 0 form a symmetric trapezoidal word (Section 2.1).
A combinatorial survey of identities for the double factorial
The path is redundant since it can be recovered from the lattice points and so we have an explicit bijection from Cn to symmetric trapezoidal words.
A combinatorial survey of identities for the double factorial
Define a mapping from Stirling permutations of size n to trapezoidal words w = (wi )n i=1 as follows.
A combinatorial survey of identities for the double factorial
Our method of choice for numerical integration is essentially a version of the trapezoid rule.
Evaluating Whittaker functions and Maass forms for SL(3,Z)
Because of the exponential decay of the K-Bessel function, the integrand decays doubly exponentially, and the integral can be efficiently evaluated by the trapezoid rule as explained above.
Evaluating Whittaker functions and Maass forms for SL(3,Z)
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