trapezoidal

Definitions

  • WordNet 3.6
    • adj trapezoidal resembling a trapezoid
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Webster's Revised Unabridged Dictionary
    • Trapezoidal Having the form of a trapezoid; trapezoid.
    • Trapezoidal (Min) Trapezohedral.
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Century Dictionary and Cyclopedia
    • trapezoidal Having the form of a trapezoid: as, the trapezoidal bone or ligament (in anatomy).
    • trapezoidal In crystallography, having the surface composed of twenty-four trapeziums, allequal and similar.
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Chambers's Twentieth Century Dictionary
    • adj Trapezoidal having the form of a trapezoid
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Etymology

Webster's Revised Unabridged Dictionary
Cf. F. trapézoïdal,
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:

In contrast to dN/dη , v2 (η ) is not trapezoidal but triangular, see figure 4k.
Predictions for the LHC heavy ion programme
In each case, the integral was computed by the trapezoidal rule on a domain of the form [0, K ] for suitably large K ; all infinite sums were truncated to 40 terms in each index.
Asymptotic local efficiency of Cram\'{e}r--von Mises tests for multivariate independence
The integration over t was done with the trapezoidal rule, with 39 non uniformly spaced points 17 .
Some aspects of infinite range models of spin glasses: theory and numerical simulations
By Corollary 12, the four trapezoidal faces each remain planar.
(Non)existence of Pleated Folds: How Paper Folds Between Creases
Therefore GW observations would exclude the complement of a trapezoidal region on the top left of Fig. 3.
Astrophysical black holes as natural laboratories for fundamental physics and strong-field gravity
For example, in its first version Swartz used parametric forms to fit the data, while most of the other determinations use a trapezoidal rule to integrate across the data points.
Status of precision tests of the Standard Model
The lower trapezoid is obviously commutative.
Rational Modules for Corings
If the outer rectangle is commutative (f is C -colinear), then the upper trapezoid is commutative (f is A-linear).
Rational Modules for Corings
By definition of ̺M and αP ⊗l P all trapezoids are commutative.
Rational Modules for Corings
The lower trapezoid is obviously commutative and the triangles are commutative by definition of ̺M and ̺N .
Rational Modules for Corings
Moreover αP N is injective and so the outer rectangle is commutative (f is C -colinear) iff the upper trapezoid is commutative (f is A-linear), i.e.
Rational Modules for Corings
Note that we use the simple trapezoidal rule for the integration, which works better when the index n is smaller.
On the linear filters for point source extraction of the Planck mission
Abstract. A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf ’s and (HH ) −divergence measure are also mentioned.
A Generalised Trapezoid Type Inequality for Convex Functions
The following theorem providing upper and lower bounds for the remainder in approximating the integral R b a f (t) dt of a convex function f in terms of the generalised trapezoid rule holds.
A Generalised Trapezoid Type Inequality for Convex Functions
Implicit and explicit approaches were combined in a variational integration framework by defining the discrete Lagrangian via trapezoidal approximation of the soft potential and midpoint approximation of the stiff potential.
Structure preserving Stochastic Impulse Methods for stiff Langevin systems with a uniform global error of order 1 or 1/2 on position
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