rectangle

Dictionary: rec·tan·gle (rĕk'tăng'gəl) pronunciation

A four-sided plane figure with four right angles.

[French, from Medieval Latin rēctangulum, a right triangle, from Late Latin rēctiangulum : Latin rēctus, right + Latin angulus, angle.]

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Investment Dictionary: Rectangle

A pattern formed on a chart where the price of a security is trading within a bounded range in which the levels of resistance and support are parallel to each other, resembling the shape of a rectangle. This pattern signals that the price movement, which has stalled during the pattern, will trend in the direction of the price breakout of the bounded range.

Investopedia Says:
The bounded range, or rectangle, is a period of consolidation in which market participants are generally indecisive. The formation of this pattern will see the price of the security test the levels of support and resistance several times before a breakout. Once the security breaks out of the range, in either direction, it is considered to be trending in the direction of the breakout.

Related Links:
Learn how chartists analyze the price movements of the market. We'll introduce you to the most important concepts in this approach. Basics Of Technical Analysis
To "find your game" in technical analysis, you need to be able to recognize reversals and continuations as they form. Price Patterns - Part 1
Here we pay some attention to the triangle, usually one of the first chart patterns that a novice technician learns. Continuation Patterns - Part 1
Understanding this key concept can drastically improve your short-term investing strategy. Support & Resistance Basics

Word Tutor: rectangle

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IN BRIEF: Any flat figure with four right angles and four sides.

A rectangle is a quadrilateral.

Wikipedia: Rectangle

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In Euclidean geometry, a rectangle is a quadrilateral with four right angles.
Equivalently, it is an equiangular quadrilateral, but it is not necessarily equilateral.

A rectangle with vertices ABCD would be denoted as ABCD.

1 Properties
2 Area, perimeter, and other facts
3 Squared, perfect, and other tiled rectangles
4 See also
5 References
6 External links

Properties

All angles are 90 degrees.
Opposite sides are equal in length.
Opposite sides are parallel.
Diagonals are equal in length and bisect each other.

Area, perimeter, and other facts

The formula for the perimeter of a rectangle.

If a rectangle has length $l$ and width $w$

it has area $A = l w$
perimeter $P = 2 l + 2 w = 2(l + w)$
and each diagonal has length $\sqrt{l^2 + w^2}$ .

When the length is equal to the width, the rectangle is a square.

The dual polygon of a rectangle is a rhombus.

The term oblong is occasionally used to refer to a non-square rectangle. ^[1]^[2]

A rectangle is a special case of a parallelogram, which has two pairs of parallel opposite sides. A parallelogram, and hence also a rectangle, is a special case of a trapezium (known as a trapezoid in North America), which has at least one pair of parallel opposite sides.

Two rectangles, neither of which will fit inside the other, are said to be incomparable.

Squared, perfect, and other tiled rectangles

A rectangle tiled by squares, rectangles, or triangles is said to be a "squared", "rectangled", or "triangled" (or "triangulated") rectangle respectively. The tiled rectangle is perfect^[3]^[4] if the tiles are similar and finite in number and no two tiles are the same size. If two such tiles are the same size, the tiling is imperfect. In a perfect (or imperfect) triangled rectangle the triangles must be right triangles.

A rectangle has commensurable sides if and only if it is tilable by a finite number of unequal squares.^[5]^[3] The same is true if the tiles are unequal isosceles right triangles.

The tilings of rectangles by other tiles which have attracted the most attention are those by congruent non-rectangular polyominoes, allowing all rotations and reflections. There are also tilings by congruent polyaboloes.

References

^ http://www.mathsisfun.com/definitions/oblong.html
^ http://www.icoachmath.com/SiteMap/Oblong.html
^ ^a ^b R.L. Brooks, C.A.B. Smith, A.H. Stone and W.T. Tutte (1940). "The dissection of rectangles into squares". Duke Math. J. 7 (1): 312–340. doi:10.1215/S0012-7094-40-00718-9. http://projecteuclid.org/euclid.dmj/1077492259.
^ J.D. Skinner II, C.A.B. Smith and W.T. Tutte (November 2000). "On the Dissection of Rectangles into Right-Angled Isosceles Triangles". J. Combinatorial Theory Series B 80 (2): 277–319. doi:10.1006/jctb.2000.1987.
^ R. Sprague (1940). "Ũber die Zerlegung von Rechtecken in lauter verschiedene Quadrate". J. fũr die reine und angewandte Mathematik 182: 60–64.

External links

Wikimedia Commons has media related to category:
Rectangles

Eric W. Weisstein, Rectangle at MathWorld.
Definition and properties of a rectangle With interactive animation
Area of a rectangle with interactive animation

This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see full disclaimer)

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Translations: Rectangle

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Dansk (Danish)
n. - rektangel

Nederlands (Dutch)
rechthoek

Français (French)
n. - rectangle

Deutsch (German)
n. - Rechteck

Ελληνική (Greek)
n. - ορθογώνιο παραλληλόγραμμο

Italiano (Italian)
rettangolo

Português (Portuguese)
n. - retângulo (m) (Geom.)

Русский (Russian)
прямоугольник

Español (Spanish)
n. - rectángulo

Svenska (Swedish)
n. - rektangel

中文（简体）(Chinese (Simplified))
长方形, 矩形

中文（繁體）(Chinese (Traditional))
n. - 長方形, 矩形

한국어 (Korean)
n. - 직사각형, 장방형

日本語 (Japanese)
n. - 方形, 矩形, 長方形

العربيه (Arabic)
‏(الاسم) مستطيل‏

עברית (Hebrew)
n. - ‮מלבן‬

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Best of the Web: rectangle

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Some good "rectangle" pages on the web:

American Sign Language
commtechlab.msu.edu

Math
mathworld.wolfram.com

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