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Topic: Equilateral parallelogram

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Parallelogram

Parallelogram law

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	Search ScienceWorld
		An equilateral parallelogram whose acute angles are 45 degrees.
		A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
		A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
	scienceworld.wolfram.com /search/index.cgi?as_q=lozenge (432 words)

	[No title] (Site not responding. Last check: 2007-10-14)
		If an equilateral triangle is dissected into a finite number of smaller equilateral triangles, then two of the smaller triangles are congruent.
		If an equilateral triangle is dissected into equilateral triangles, then we can obtain a dissection of a parallelogram into equilateral triangles by attaching another (undivided) equilateral triangle along one of the sides of the original triangle.
		Suppose we have are given a dissection of a parallelogram into equilateral triangles.
	www.math.niu.edu /~rusin/known-math/99/equilateral (419 words)

	Quadrilateral: A quadrilateral is a four sided polygon
		parallelogram is a quadrilateral with two pair of congruent opposite sides.
		parallelogram is a quadrilateral whose diagonals cross one another at the midpoint of each diagonal.
		parallelogram is a quadrilateral with one pair of congruent parallel opposite sides.
	garnet.acns.fsu.edu /~egn8598/Quadrilateral.htm (224 words)

	83.01.07: Geometric Shapes in Architecture
		The opposite angles of a parallelogram are ___.
		Although any side of a parallelogram may be called a base, the altitude of a parallelogram is not always a side of the figure.
		Find the area of a parallelogram whose base is 8 1/2 inches and whose altitude is 15 1/4 inches in length.
	www.yale.edu /ynhti/curriculum/units/1983/1/83.01.07.x.html (3540 words)

	Parallelogram - Wikipedia, the free encyclopedia
		A parallelogram is a four-sided plane figure that has two sets of opposite parallel sides.
		The three-dimensional counterpart of a parallelogram is a parallelepiped.
		The area of a parallelogram can be seen as twice the area of a triangle created by one of its diagonals.
	en.wikipedia.org /wiki/Parallelogram (288 words)

	Parallelograms, Trapezoids, Medians, and Midpoints
		The opposite angles of a parallelogram are congruent.
		The consecutive angels of a parallelogram are supplementary.
		If a parallelogram has a right angle and two congruent adjacent sides, then it is a square.
	www.mathematicshelpcentral.com /lecture_notes/college_geometry_folder/parallelograms_trapezoids_medians_and_midpoints.htm (447 words)

	'+' (via CobWeb/3.1 planetlab2.netlab.uky.edu) (Site not responding. Last check: 2007-10-14)
		Equilateral triangle A triangle in which all three sides are equal.
		The real numbers are all numbers that may be represented by decimal numbers with a finite or an infinite number of places and may be either repeating or non-repeating.
		A rectangle is a parallelogram with four right angles.
	members.lycos.co.uk.cob-web.org:8888 /millers_math/Definitions/Definitions.html (2163 words)

	Group III nitride compound semiconductor element and method for producing the same - Patent 6716655
		The three sides of the equilateral triangle are composed of three edges; each edge defined by the (111) plane and another crystal plane that is cleavable.
		A method for producing a Group III nitride compound semiconductor element according to claim 1, wherein a single element of the semiconductor element is formed on a single region of the crystal growth region.
		Particularly, when equilateral triangle arrangement or parallelogram arrangement of crystal growth regions is employed, planes of semiconductor elements can be arranged in a semiconductor wafer at high packing density without loss.
	www.freepatentsonline.com /6716655.html (3780 words)

	[No title]
		Assignment 2: Investigation of area equations (quadproof.gsp) Trapezoid 0.5(b1+b2)h Parallelogram bh Rhombus 0.5(d1+d2) [diagonals] Kite 0.5(d1+d2) Using knowledge obtained in Assignment 1 encourage students to derive the formula for the remaining quadrilaterals given the formula for a trapezoid.
		Using your new knowledge of how quadrilaterals are related, demonstrate how the area formula for a trapezoid, 0.5(b1+b2)h, can be used to find the area formula for a kite, rhombus, parallelogram, rectangle and square.
		Try to place the remaining quadrilaterals (trapezoid, rhombus, parallelogram, and rectangle) in the proper place on the flowchart.
	www.mste.uiuc.edu /courses/ci336sp04/folders/meiland/ci336_final.doc (590 words)

	Equilateral Triangles On Sides of a Parallelogram
		On the sides of a parallelogram ABCD, construct similarly oriented equilateral triangles ABX, BCY, CDZ, and DAW.
		Not accidentally, the quadrilateral XYZW happens to be a parallelogram.
		On its sides, in turn, construct equilateral triangles XYP, YZQ, ZWR, WXS with the orientation opposite to that of ABX, BCY, CDZ, and DAW.
	www.cut-the-knot.org /Curriculum/Geometry/EquiTriOnPara.shtml (308 words)

	Cabinet of Geometrical Plane Figures
		parallelogram, the rhombus, the trapezoid, and the right-angled trapezoid.
		Parallelogram - opposite sides are equal and parallel (the square, rectangle, and rhombus are all parallelograms).
		Rhombus - all four sides are equal (equilateral parallelogram) but the angles are not right angles.
	www.montessoriworld.org /sensory/sgeocab.html (1104 words)

	Equilateral Zonohedron -- from Wolfram MathWorld
		An equilateral zonohedron is a zonohedron in which the line segments of the star on which it is based are of equal length (Coxeter 1973, p.
		rhombic triacontahedron) are equilateral zonohedra (Ball and Coxeter 1987, Towle 1996).
		Regular zonohedra have bands of parallelograms which form equators and are called "zones."
	mathworld.wolfram.com /EquilateralZonohedron.html (240 words)

	Triangle - Wikipedia, the free encyclopedia
		In an equilateral triangle all sides are of equal length.
		The triangle is first transformed into a parallelogram with twice the area of the triangle, then into a rectangle.
		The area of a parallelogram can also be calculated by the use of vectors.
	en.wikipedia.org /wiki/Equilateral_triangle (2231 words)

	Math Forum Project of the Month - Oct. 1995
		An equilateral triangle is certainly acute, and both isosceles and acute triangles are surely subsets of triangles, but an acute triangle doesn't have to be isosceles, and an isosceles triangle isn't always acute.
		And a square is both a parallelogram and a rectangle and also a rhombus.
		A square is always a rhombus, a rectangle, a parallelogram, a trapezoid, or a quadrilateral.
	mathforum.org /pom/project10.95.html (1856 words)

	Mrs. Catherine Uhren TeacherWeb Update Algebra Notes 1 (Site not responding. Last check: 2007-10-14)
		• Equilateral triangle has all the sides the same and all the angles the same (60º).
		Areas of Circles • Area of a Circle = PI* r * r • When given a strange figure to find the area, break it into rectangles, triangles and half a circle, then add those areas.
		Areas of Parallelograms and Trapezoids • The areas for a parallelogram and a trapezoid are difficult to remember.
	teacherweb.com /OK/CasciaHall/Uhren/uh1.stm (4781 words)

	Untitled Document
		The case of the equilateral triangle requires a reflection and a translation (or a rotation and translation).
		A strategy often used in classrooms when studying tessellation is to start with one of the above regular polygons and then perform a modification according to certain rules that preserve the ability of the resulting tile to fill the plane.
		The third is a rectangular grid having two colors, with the second colored line made to move in the negative x-direction as the cursor is moved.
	www.sas.org /E-Bulletin/2004-03-26/features2/body.html (1390 words)

	Previous Questions
		Parallelogram - A four-sided plane figure with opposite sides parallel.
		In other words, a parallelogram in which all four sides are the same length.
		Take a look at this cool web page that has shapes you can actually move...
	www.gomath.com /Questions/question.php?question=23901 (450 words)

	Applied Geometry
		A parallelogram is named by naming its four vertices in any order.
		Opposite side of a parallelogram are congruent.
		Opposite angles of a parallelogram are congruent.
	www.geocities.com /smvin11/2_5_notes.html (212 words)

	eMedicine - Rhombic Flaps : Article by Anthony P Sclafani, MD (Site not responding. Last check: 2007-10-14)
		First, a parallelogram with angles of 60° and 120° is drawn around the lesion to be excised (Image 1).
		Next, a line (equal in length to the short diagonal of the parallelogram) is extended from the parallelogram as a continuation of the short diagonal (Image 2).
		Beginning with such a parallelogram, extend imaginary lines from the short diagonal and from one adjacent defect side.
	www.emedicine.com /ent/topic653.htm (2048 words)

	Figures and polygons
		The angles of an equilateral triangle all measure 60 degrees.
		The sum of the angles of a parallelogram is 360 degrees.
		A four-sided polygon having all four sides of equal length.
	www.mathleague.com /help/geometry/polygons.htm (620 words)

	Rhomb,dictionary definition of Rhomb,Meaning of Rhomb,An equilateral parallelogram, or quadrilateral figure whose sides ... (Site not responding. Last check: 2007-10-14)
		Rhomb,dictionary definition of Rhomb,Meaning of Rhomb,An equilateral parallelogram, or quadrilateral figure whose sides are equal and the opposite sides parallel.
		The angles may be unequal, two being obtuse and two acute, as in the cut, or the angles may be equal, in which case it is usually called a square.,A rhombohedron., with Rhomb images links,Rhomb thesaurus links,Rhomb news links,Rhomb encyclopedia links and Rhomb quotation links (via CobWeb/3.1 planetlab2.netlab.uky.edu)
		An equilateral parallelogram, or quadrilateral figure whose sides are equal and the opposite sides parallel.
	www.dictionary-search.com.cob-web.org:8888 /R/Rhomb.htm (113 words)

	online mathematics. rectangle, triangle, circle, trapezium, square area calculation
		Here you can calculate the area of square, circle, triangle, equilateral triangle, Parallelogram, Trapezium and Sector.
		You can dynamically calculate the areas of square, circle, equilateral trianlge, triangle, parallelogram, trapezium and sector.
		FREE Online tools (convertor or calculater) are intended to make the calculation and conversion of math or logical or arithmetic problems and give simple solutions.
	www.easycalculation.com /area/maths.php (128 words)

	patterns (via CobWeb/3.1 planetlab2.netlab.uky.edu) (Site not responding. Last check: 2007-10-14)
		The rhombus (an equilateral parallelogram) is the modular unit used in creating this unique vest.
		Description: Equilateral Triangle Scarf: The triangles are knit individually and joined as you knit.
		Description: Equilateral Triangle Patchwork Vest: The triangles are knit individually and joined as you knit.
	www.knittingbasket.com.cob-web.org:8888 /patterns/patterns.html (1396 words)

	The Frank Lloyd Wright House in Ebsworth Park: Kirkwood, Missouri \| News (via CobWeb/3.1 planetlab2.netlab.uky.edu) (Site not responding. Last check: 2007-10-14)
		Storrer and John Sergeant, who wrote the first detailed analysis of the Usonian houses, saw them as simply variants of the Usonian concept, but Edgar Kaufmann, an apprentice at Taliesin at the time of their conception, saw these geometrical exercises springing from a different source, the Hanna House, a contemporary of the first Jacobs House.
		The equilateral parallelogram, the module used in the Kraus House, was a third variation using 60-degree and 120-degree angles.
		It sometimes is called a diamond module, and seen from the outside, the houses built using it easily could be mistake for those using the triangle or the hexagon.
	www.ebsworthpark.org.cob-web.org:8888 /news.html (4098 words)

	parallelogram - OneLook Dictionary Search
		Parallelogram : Online Plain Text English Dictionary [home, info]
		Parallelogram : Encarta® Online Encyclopedia, North American Edition [home, info]
		Phrases that include parallelogram: parallelogram law, alternate proof of parallelogram law, area of a parallelogram, complement of a parallelogram, equilateral parallelogram, more...
	www.onelook.com /?w=parallelogram (239 words)

	Quadrilaterals (Site not responding. Last check: 2007-10-14)
		A trapezoid is a quadrilateral with two opposite sides parallel but not equal.
		A parallelogram is a quadrilateral that has two pairs of opposite sides that are parallel and equal to one another.
		A rhombus is an equilateral parallelogram, with all sides euqal.
	www.mcwdn.org /Geometry/Quadrilaterals.html (118 words)

	Indonesian Batik and Ikat (Site not responding. Last check: 2007-10-14)
		On woven fabric, which is made everywhere from Sumatra through the eastern islands, the most characteristic element is the key-shaped figure combined with other geometric figures.
		The rhombus (an equilateral parallelogram usually having oblique angles) frequently occurs together with straight lines, equilateral triangles, squares, or circles, which permits an enormous number of variations, including stylized representations of human beings and animals.
		Each island or region has its characteristic patterns, which serve to identify the area in which the cloth is made.
	asiarecipe.com /indobatik.html (442 words)

	ArtLex's P-Par page (via CobWeb/3.1 planetlab2.netlab.uky.edu) (Site not responding. Last check: 2007-10-14)
		figure to a desired scale, consisting of styluses for tracing and copying mounted on four jointed arms in the form of a parallelogram with extended sides.
		Pantographs are based on the simple principle of the parallelogram in Euclidean geometry understood 2300 years ago.
		A regular hexahedron is a type of parallelipiped.
	www.artlex.com.cob-web.org:8888 /ArtLex/P.html (4677 words)

	#4 RHOMBUS Fun Theme Fashion Tights
		To relate the Rhombus style tights with our Fun Theme Fashion Hosiery, one needs to examine the pattern more meticulously.
		Rhombus is a pair that displays an equilateral parallelogram pattern, a pattern of conservatism which ultimately leads to the embracement of 'Open & Free Communication'.
		The majority of our Fashion Anaylists believe that Rhombus can be worn anywhere and at anytime.
	www.ezhosiery.com /rhombus.html (147 words)

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