background e7dcc3 colspan 2 Rectangle colspan 2 Image Rectangle example.svg 250px style background ... Euclidean plane geometry , a rectangle is any quadrilateral with four right angle s. The term wikt oblong oblong is occasionally used to refer to a non square rectangle. ref http www.mathsisfun.com definitions oblong.html ref ref http www.icoachmath.com SiteMap Oblong.html ref A rectangle with Vertex geometry vertices ABCD would be denoted as rectanglenotation ABCD . A so called crossed rectangle is a crossed self intersecting quadrilateral which consists of two opposite sides of a rectangle along ... Rectangle Tessellations tiling problems, such as tiling the plane by rectangles or tiling a rectangle by polygon s. Classification Traditional hierarchy A rectangle is a special case of a parallelogram ... are perpendicular to each other. A parallelogram, and hence also a rectangle, is a special case ... sides. A trapezium, and hence also a rectangle, is Convex polygon convex . Any line drawn through ... also a rectangle, is Star shaped polygon Star shaped The whole interior is visible from a single ... hierarchy De Villiers defines a rectangle more generally as any quadrilateral with Reflection ... of those sides, but, in the case of the crossed rectangle, the first axis is not an axis of symmetry ... . Properties Symmetry A rectangle is Cyclic polygon cyclic all corners lie on a single circle ... two lines of reflectional symmetry and rotational symmetry of order 2 through 180 . Rectangle rhombus duality The dual polygon of a rectangle is a rhombus , as shown in the table below. class wikitable style text align center Rectangle Rhombus All angles are congruent. All sides are congruent. Its centre ... and Bisection bisect each other. Every quadrilateral with both these properties is a rectangle. A rectangle is rectilinear polygon rectilinear its sides meet at right angles. A non square rectangle has ... incomparable . With vertices denoted A , B , C , and D , for any point P in the interior of a rectangle ... more details
is another golden rectangle that is, with the same proportionality mathematics proportion s as the first ... rectangle is considered aesthetically pleasing. The proportions of the golden rectangle ... Quarterly , Vol. 46, 1998 a Golden Rectangle has a ratio of the length of its sides equal to 1 1.61803 . The Parthenon is of these dimensions. ref Construction Image Golden Rectangle Construction.svg thumb A method to construct a golden rectangle. The square is outlined in red. The resulting dimensions are in the golden ratio. A golden rectangle can be Compass and straightedge constructions constructed ... that defines the height of the rectangle Complete the golden rectangle Applications Le Corbusier ... The flag of Togo was designed to approximate a golden rectangle closely. ref cite web url http www.fotw.us ... ref See also Fibonacci numbers Golden rhombus Kepler triangle Leonardo of Pisa Rabatment of the rectangle Silver ratio References reflist External links commons Category Golden rectangle Golden rectangle http mathworld.wolfram.com GoldenRatio.html Golden Ratio at MathWorld http uk.arxiv.org abs ... Golden rectangle demonstration With interactive animation Category Elementary geometry Category ... more details
In combinatorics combinatorial mathematics , a Latin rectangle is an r × n matrix mathematics matrix that has the numbers 1, 2, 3, ..., n as its entries with no number occurring more than once in any row or column where r n . An n × n Latin rectangle is called a Latin square . If r n , then it is possible to append n &minus r rows to an r × n Latin rectangle to form a Latin square. In statistics , Latin rectangles have applications in the design of experiments . References Mirsky, L. transversal theory Transversal Theory , New York, Academic Press, 1971. Experimental design Category Latin squares Category Statistical terminology Category Design of experiments Category Nonassociative algebra ... more details
multiple issues notability July 2010 refimprove July 2010 advert July 2010 DJ Rectangle is an United States American Hip hop music hip hop DJ turntablist and hip hop R&B record producer . He is best known for his battle records and party friendly mixtapes. Previously based out of Los Angeles, CA, he now resides in Las Vegas, Nevada. His mix tapes generally feature West Coast artists. He competed in the U.S. DMC DJ Championships in the early nineties. In 1991 he made it to the DMC US finals but was bested by DJ Q Bert . In 1993 he became the DJ for West Coast rapper Warren G . Discography Solo Releases 2008 Wax Assassin 2 Training Day 2008 Bad Table Manners 2007 Ultimate Ultimate 4 2007 Ultimate Ultimate 3 2006 Ultimate Ultimate 2 2006 Casino Royale Vol. 2 For The Gangsters 2006 Casino Royale Vol. 1 For the Hustlers 2006 Kill Steelz Vol. 2 2006 Kill Steelz Vol. 1 2005 Fear and Loathing 2005 Dope Trax 2005 Rectangle s Big Adventure 2005 Pyro Technics 2004 Who Framed DJ Rectangle? 2004 Resident Evil Turn Table Apocalypse 2004 Six Million Dollar Hand 2004 Wax on Wax off 2003 1200 s Never Die 2002 Faders of Fury 2002 Vinyl Combat 2 Attack of the Clones 2002 Turntable Torture 2002 Deadly Needles 2001 The Best of DJ Rectangle 2001 Ultimate Battle Weapon, Vol. 5 2001 Ultimate Battle Weapon, Vol. 1 4 2001 Ultimate, Vol. 4 2000 Scratch Masters Revenge, Vol. 1 2000 Enter the Diamond Needle Dynasty 2000 Mixes Beats & More, Vol. 1 2000 Mixes Beats & More, Vol. 2 1999 Ultimate Ultimate Battle Weapon, Vol. 3 1999 The Tables Have Turned 1999 Behind Bars 1999 The Vinyl Avengers, Vol. 1 1999 ..., Gisborne DJ frickin rectangle ow 2005 Bring It Back, by Simply Jeff 2004 Rookie of the Year, by Dirtyrat ... id p291953 pure url yes DJ Rectangle on allmusic http www.discogs.com artist DJ Rectangle DJ Rectangle on Discogs Persondata Metadata see Wikipedia Persondata . NAME Rectangle, Dj ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Rectangle ... more details
A dynamic rectangle is a right angled, four sided figure a rectangle with dynamic symmetry , which in this case ... and cross points to form the desired figure, which can be the golden rectangle 1 1.618... , the 2 3 rectangle, the double square 1 2 , or a root rectangle 1 radic , 1 radic 2 , 1 radic 3 , 1 radic 5 ... A root rectangle is a rectangle in which the ratio of the longer side to the shorter is the square ..., Whitefish, MT, ISBN 0 7661 7679 7 ref The root 2 rectangle ACDK in Fig. 10 is constructed by extending ... 3 rectangle is constructed by extending the two longer sides of a root 2 rectangle to the length of the root 2 rectangle s diagonal. Each successive root rectangle is produced by extending a root rectangle s longer sides to equal the length of that rectangle s diagonal. ref name jay2 Jay Hambidge ... 10. ref Properties When a root N rectangle is divided into N congruent rectangles by dividing the longer ... brr 3&ei N2wySKOPL4uKtAOk2NnvAg&sig 98V Ww1L3EgAKmPofmkscnvxMsk ref The root 3 rectangle is also ... KC iSe J4HqkwSx6OCNAg PPA33,M1 ref Since 2 is the square root of 4, the root 4 rectangle has ... 5 rectangle is related to the golden ratio . The longer side is equal to one plus two times 1 0.618... . ref name elam Root rectangle Image Root phi rectangle.svg right thumb A root phi rectangle ... . The root rectangle is a dynamic rectangle but not a root rectangle. Its diagonal equals times the length of the shorter side. If a root rectangle is divided by a diagonal, the result ... and combinations, and this by the very simple process ... of drawing inside the chosen rectangle a diagonal ... into a reciprocal rectangle and its gnomon and the drawing any network of parallels and perpendiculars ... of the initial rectangle and also avoids automatically again the mixing of antagonistic themes ... Caskey 1922.png center frame Caskey s 1922 illustration of the property that a root N rectangle ... a right angled figure , which, as a consequence, is rectangle rectangular and tetragon al ref CURTIS ... more details
Unreferenced date December 2009 In mathematics , specifically in integral calculus , the rectangle method also called the midpoint or mid ordinate rule computes an approximation to a definite integral , made by finding the area of a collection of rectangle s whose heights are determined by the values of the function. Specifically, the interval math a,b math over which the function is to be integrated is divided into math N math equal subintervals of length math h b a N math . The rectangles are then drawn so that either their left or right corners, or the middle of their top line lies on the graph of a function graph of the function, with bases running along the math x math axis. The approximation to the integral is then calculated by adding up the areas base multiplied by height of the math N math rectangles, giving the formula math int a b f x ,dx approx h sum n 0 N 1 f x n math where math h b a N math and math x n a nh math . As N gets larger, this approximation gets more accurate. In fact, this computation is the spirit of the definition of the Riemann integral and the Limit of a sequence limit of this approximation as math n to infty math is defined and equal to the integral of math f math on math a,b math if this Riemann integral is defined. Note that this is true regardless ... math n math . Gallery title The different rectangle approximations Image leftRiemann.png Top left ... error in each section math a,a Delta math of the midpoint rule decays as the cube of the width of the rectangle ... lang matlab function F rectangle a, b, n This function computes an approximation to a definite integral using rectangle method. Input variables are a initial value, b end value, n number of iterations ... program source lang c include stdio.h include math.h double f double x return sin x double rectangle ... return result int main void double integral integral rectangle integrate 0,2,100,f printf The value ... s Trapezoidal rule Simpson s rule DEFAULTSORT Rectangle Method Category Integral calculus Category ... more details
File Rabatment rectangle.png thumb The dotted line represents one of two possible rabatments of the rectangle Rabatment of the rectangle is a compositional technique used as an aid for the placement of objects or the division of space within a rectangular frame, or as an aid for the study of art. Every rectangle contains two implied squares, each consisting of a short side of the rectangle, an equal length along each longer side, and an imaginary fourth line parallel to the short side. The process of mentally rotating the short sides onto the long ones is called rabatment , and often the imaginary fourth line is called the rabatment . Also known as rebatement and rabattement , rabatment means the rotation of a plane into another plane about their line of intersection, as in closing an open hinge. ref Cite book title Oxford English Dictionary year 2003 edition 2 publisher Oxford University Press ref In two dimensions, it means to rotate a line about a point until the line coincides with another sharing the same point. The term is used in geometry, art and architecture. ref Cite book last Paynter first J.E. title Practical geometry for builders and architects year 1921 location London ... animation.gif thumb Animation of a rabatment line within a rectangle Renaissance artists used ... composition techniques, rabatment of the rectangle can be used to inform the positioning of elements within the rectangle. There is no hard and fast rule regarding such positioning a composition can ... from rabatment or from the rule of thirds, or from nodal points such as the eyes of a rectangle ... first Scott year 2009 accessdate 27 February 2011 ref In a horizontally aligned rectangle, there is one implied square for the left side and one for the right for a vertically aligned rectangle, there are upper ... work Empty Easel date 27 January 2009 accessdate 26 February 2011 ref If the long sides of the rectangle ... with one side of a golden rectangle , and then iteratively applied to the left over rectangle ... more details
In computational geometry , the largest empty rectangle problem, ref http scholar.google.com scholar?hl en&lr &q 22largest empty rectangle 22&btnG Search largest empty rectangle term usage ref maximal empty rectangle problem ref http scholar.google.com scholar?hl en&lr &q 22maximal empty rectangle 22&btnG Search maximal empty rectangle term usage ref or maximum empty rectangle problem ref http scholar.google.com scholar?hl en&lr &q 22maximum empty rectangle 22&btnG Search maximum empty rectangle term usage ref problem is the problem of finding a rectangle of maximal size to be placed among obstacles ... , and the orientation of the rectangle. The problems of this kind arise e.g., in electronic ... empty rectangle MER is a rectangle which is not contained in another empty rectangle. Each side of a MER ..., since it is easily proven that, e.g., a maximum area empty rectangle is a maximal empty rectangle. Classification In terms of size measure, the two most common cases are the largest area empty rectangle and largest perimeter empty rectangle. ref Alok Aggearwal , Subhash Suri , Fast algorithms for computing the largest empty rectangle , Proc. 3rd Annu. Symposium on Computational Geometry , 1987, 278 290, doi 10.1145 41958.41988 ref Another major classification is whether the rectangle is sought ... when the sought rectangle is an axis oriented square may be treated using Voronoi diagram s in math ..., for the Domain rectangle containing points case of points within rectangle an optimal ... , R. L. Drysdale III and D. T. Lee , Computing the largest empty rectangle , STACS 1984, Lecture Notes in Computer Science , vol. 166, 1984, pp. 43 54, doi 10.1007 3 540 12920 0 4 ref Domain rectangle ... and W. L. Hsu On the Maximum Empty Rectangle Problem , Discrete Applied Mathematics 1984, pp. 267 277 ref is stated as follows given a rectangle A containing n points, find a largest area rectangle with sides ... ref name noniso Location of Largest Empty Rectangle among Arbitrary Obstacles http books.google.com ... more details
Summary Revised construction of golden rectangle drawing, combining the best features of several others used in golden ratio , per talk suggestions. Licensing PD self date October 2006 ... more details
Information Description Saddle rectangle image Source I User Tomruen Tom Ruen User talk Tomruen talk created this work entirely by myself. Date 01 52, 9 May 2010 UTC Author User Tomruen Tom Ruen User talk Tomruen talk other versions PD self date May 2010 ... more details
. Image The Red Rectangle around the star HD 44179.jpg thumb right Hubble Space Telescope Advanced ... the constellation Monoceros, the Red Rectangle Nebula should be transformed into a planetary nebula ... Space Telescope has revealed a wealth of new features in the Red Rectangle that cannot be seen by ground ... PIA04533.jpg thumb 200px left The Red Rectangle is a proto planetary nebula In 1981 Vincent Icke and collaborators ... SEMHBNGHZTD FeatureWeek 0.html The remarkable Red Rectangle A Stairway to Heaven? http hubblesite.org ... emission , 2007. Astronomy Picture of the Day http apod.nasa.gov apod ap100614.html The Red Rectangle ... The red rectangle journal Astrophysical Journal year 1975 date February 15, 1975 volume 196 issue 1 ... news news.jsp?id ns99994552 Citation surname1 SIMBAD title Results for Red Rectangle ... de Strasbourg url http simbad.u strasbg.fr simbad sim id?protocol html&Ident Red Rectangle Citation ... torus of the Red Rectangle journal Astronomy and Astrophysics year 2002 volume 393 pages ... Protoplanetary nebulae Category Monoceros constellation de Roter Rechtecknebel fr N buleuse du rectangle ... more details
Summary Detail from The Rectangle , copyright Frank King, Chicago Tribune , published April 8, 1917, 2 days after U.S. declaration of War Source Barnacle Press, http www.barnaclepress.com comics archives various artists frank king index.html Fair use rationale It is believed that this image, King rectangle detail 8Apr1917.jpg, is subject to fair use in the article Frank King cartoonist because The image is used for identification and critical commentary of the article subject The image is being used in an informative way and should not detract from the original work. The image is used to provide a sample of the comic book artist s work This particular image is considered significant because it represents a notable period in history WWI The image is a web resolution image, significantly lower resolution than the original copies made from it will be of very inferior quality . The image reproduced is a single panel from a larger complete comic strip that does not harm the ability of the copyright holder to profit from its reproduction It does not limit the copyright owner s rights to market or sell the work in any way. No free or public domain images may be located for this item. Licensing Non free comic ... more details
The minimum bounding rectangle MBR , also known as bounding box or envelope , is an expression of the maximum extents of a 2 dimensional object e.g. point, line, polygon within its 2 D x, y coordinate system , in other words min x , max x , min y , max y . The MBR is a 2 dimensional case of the minimum bounding box . MBRs are frequently used as an indication of the general position of a geography geographic feature or dataset, for either display, first approximation spatial query, or spatial indexing purposes. The degree to which an overlapping rectangle s query based on MBRs will be satisfactory in other words, produce a low number of false positive hits will depend on the extent to which individual spatial objects occupy fill their associated MBR. If the MBR is full or nearly so for example, a mapsheet aligned with axes of latitude and longitude will normally entirely fill its associated MBR in the same coordinate space , then the overlapping rectangles test will be entirely reliable for that and similar spatial objects. On the other hand, if the MBR describes a dataset consisting of a diagonal line, or a small number of disjunct points patchy data , then most of the MBR will be empty and an overlapping rectangles test will produce a high number of false positives. One system that attempts to deal with this problem, particularly for patchy data, is c squares . MBRs are also an essential prerequisite for the R tree method of spatial index ing. MBRs as spatial metadata Owing to their simplicity of expression and ease of use for searching, MBRs frequently as bounding box or bounding coordinates are also commonly included in relevant standards for geospatial metadata , i.e. metadata that describes spatial geographic objects examples include http dublincore.org documents dcmi box index.shtml DCMI Box as an extension to the Dublin Core metadata scheme, Bounding Coordinates in the http www.fgdc.gov standards projects FGDC standards projects metadata base metadata v2 0698.pdf ... more details
Summary Vector drawing of a rectangle for the Rectangle entry. It s dark green because it s a stand out colour. Public domain on grounds that I did it myself and don t want to copyright it, and also because it s just a rectangle. Createdwith Inkscape Licensing PD ineligible ... more details
Diagram of a tangram in a rectangle Original raster version Image Tangram rectangle.png GFDL with disclaimers migration relicense Category Tangrams ... more details
Summary Information Description Purple rectangle and a black rectangle with a no symbol Source I created this work entirely by myself. Date April 2009 Author User IsraelXKV8R IsraelXKV8R User talk IsraelXKV8R talk other versions Licensing self cc by sa 3.0 GFDL ... more details
A tiling with rectangles is a tessellation tiling which uses rectangle s as its parts. Tilings with non congruent rectangles The smallest square that can be cut into m x n rectangles, such that all m and n are different integers, is the 11 x 11 square, and the tiling uses five rectangles sup 1 sup . br The smallest rectangle that can be cut into m x n rectangles, such that all m and n are different integers, is the 9 x 13 rectangle, and the tiling uses five rectangles sup 1 sup . See also tessellation , tiling puzzle References Journal of Recreational Mathematics , 28 1, p.64. Category Tiling geometry stub eo Kahelaro el ortanguloj ... more details
Auron can refer to Auron comics , two fictional DC Comics superheroes Auron ski resort Auron River in central France, a tributary of the Y vre Auron, a List of Blake s 7 planets A planet in the TV series Blake s 7 Characters of Final Fantasy X and X 2 Auron Auron , a playable character in the Squaresoft role playing game Final Fantasy X One of the 12 archetypal Root rectangle Orthogon s, also known as a Golden rectangle Golden Rectangle . Auron, the main character in Dragon Champion, the first book in E. E. Knight s Age of Fire series See also Aurone , a class of chemical compounds disambig fr Auron homonymie it Auron ... more details
Summary This diagram made by Ozone shows how a golden rectangle can be made from a clock set to 10 08 Licensing GFDL self with disclaimers migration relicense ... more details
SVG move to commons It s only text and there s a generic filled rectangle, so there s no reason why it should be moved to Commons and put there as public domain. Summary Site logo from .dj registry Djibouti Licensing trademark PD textlogo ... more details
Summary Nisei Week s kanji logo, from nihongo Nikkei . The inner symbol , combined with the outer rectangle, forms . Licensing Non free logo ... more details
Summary This is the logo of The Open University of Hong Kong. I created this file. The proportion of Circle and Rectangle is not 100 percent exactly the same as official one. Licensing Non free logo Category Open University of Hong Kong ... more details
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