61. Thinking Fountain: Bubble Geometry Bubble geometry. Q icon(9k) Have you ever seen a square bubble? Experiment with bubbles. Create bubble wands out of found objects (straws, pipe cleaners, http://www.thinkingfountain.org/b/bubblegeometry/bubblegeometry.html

Bubble Geometry Have you ever seen a square bubble? Experiment with bubbles. Create bubble wands out of found objects (straws, pipe cleaners, strawberry baskets and coathangers) and have your own bubble festival. How can you catch a bubble? The secret is the soap solution. Try catching a bubble with a dry hand versus a wet hand. Which lasts longer? This activity is included in the Shapes cluster developed with K-2 teachers at the Ross School in San Francisco. What could you use to make lots of tiny bubbles? How could you measure a bubble? Why do bubbles fall towards the ground? Bubbles Soap bubbles are so fun! Make your own bubble prints Index of ideas Gathered by topic Connected together Try something new

62. Geometry (Java 3D API) geometry is an abstract class that specifies the geometry component information required by a Shape3D node. geometry objects describe both the geometry and http://java.sun.com/products/java-media/3D/forDevelopers/J3D_1_3_API/j3dapi/java

Overview Package Class Tree Deprecated Index Help ... METHOD DETAIL: FIELD CONSTR javax.media.j3d Class Geometry javax.media.j3d.SceneGraphObject javax.media.j3d.NodeComponent javax.media.j3d.Geometry Direct Known Subclasses: CompressedGeometry GeometryArray Raster public abstract class Geometry extends NodeComponent Geometry is an abstract class that specifies the geometry component information required by a Shape3D node. Geometry objects describe both the geometry and topology of the Shape3D nodes that reference them. Geometry objects consist of four generic geometric types: Compressed Geometry GeometryArray Raster Each of these geometric types defines a visible object or set of objects. A Geometry object is used as a component object of a Shape3D leaf node. Field Summary static int Specifies that this Geometry allows intersect operation. Constructor Summary Geometry Constructs a new Geometry object. Methods inherited from class javax.media.j3d. NodeComponent cloneNodeComponent cloneNodeComponent duplicateNodeComponent ... setDuplicateOnCloneTree Methods inherited from class javax.media.j3d. SceneGraphObject clearCapability clearCapabilityIsFrequent duplicateSceneGraphObject ... updateNodeReferences Methods inherited from class java.lang.Object

63. What Is Geometry? geometry is the study of shapes and configurations. It attempts to understand and classify spaces in various mathematical contexts. http://www.math.uwaterloo.ca/PM_Dept/What_Is/geometry.shtml

/* Changed to use separate display and positioning CSS March 28 2007 */ @import url("/coreTemplates/CSSFiles/layout/positioning3Col.css"); @import url("/coreTemplates/CSSFiles/display/fontDefaults.css"); @import url("/coreTemplates/CSSFiles/display/MathExtraFonts.css"); @import url("/coreTemplates/CSSFiles/print/MathPrint.css") print; @import url('/PM_Dept/supportFiles/includeFiles/PMath.css'); @import url("/coreTemplates/CSSFiles/mobile/MathMobile.css") handheld; Search Math uwaterloo.ca Pure Math Home Our People Undergraduate Studies Graduate Studies ... Math Faculty Home What is Pure Mathematics? Quick Links What is Algebra? What is Analysis? What is Geometry? What is Number Theory? ... What is Topology? What is Geometry? Geometry is the study of shapes and configurations. It attempts to understand and classify spaces in various mathematical contexts. For a space with lots of symmetries, the study naturally focuses on properties which are invariant (remaining the same) under the symmetries. Euclidean Geometry An example is the study of flat space, or Euclidean geometry. Between every pair of points there is a unique line segment, which is the shortest curve between those two points. These line segments can be extended to lines. Lines are infinitely long in both directions and, for every pair of points on the line, the segment of the line between them is the shortest curve that can be drawn between them. Furthermore, if you have a line and a point which isn't on the line, there is a second line running through the point, which is parallel to the first line (i.e. never hits it). All of these ideas can be described by a drawing on a flat piece of paper. From the laws of Euclidean Geometry, we get the famous theorem of Pythagoras, and all the formulas you learn in trigonometry. In Euclidean geometry, you also learned how to find the circumference and area of a circle.

64. CGAL - Computational Geometry Algorithms Library A collaborative effort to develop a robust, easy to use, and efficient C++ software library of geometric data structures and algorithms. http://www.cgal.org/

Home Software Online Manual All Manuals The CGAL Philosophy Download ... Work in Progress Support FAQ Supported Platforms Reporting Bugs Mailing Lists Project Project Members Project Rules Getting Involved Project History ... Members Area Dissemination News Events Classes Other Resources Python Bindings CGAL-Ipelets Scilab Geometry Toolbox Projects Using CGAL ... Related Links www cgal.org The goal of the CGAL Open Source Project is to provide easy access to efficient and reliable geometric algorithms in the form of a C++ library. CGAL is used in various areas needing geometric computation, such as: computer graphics, scientific visualization, computer aided design and modeling, geographic information systems, molecular biology, medical imaging, robotics and motion planning, mesh generation, numerical methods... More on the projects using CGAL web page. The Computational Geometry Algorithms Library ( CGAL ), offers data structures and algorithms like triangulations (2D constrained triangulations and Delaunay triangulations in 2D and 3D), Voronoi diagrams (for 2D and 3D points, 2D additively weighted Voronoi diagrams, and segment Voronoi diagrams)

65. Non-Euclidean Geometry Saccheri then studied the hypothesis of the acute angle and derived many theorems of nonEuclidean geometry without realising what he was doing. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Non-Euclidean_geometry.ht

Non-Euclidean geometry Geometry and topology index History Topics Index Version for printing In about 300 BC Euclid wrote The Elements, a book which was to become one of the most famous books ever written. Euclid stated five postulates on which he based all his theorems: To draw a straight line from any point to any other. To produce a finite straight line continuously in a straight line. To describe a circle with any centre and distance. That all right angles are equal to each other. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, if produced indefinitely, meet on that side on which are the angles less than the two right angles. It is clear that the fifth postulate is different from the other four. It did not satisfy Euclid and he tried to avoid its use as long as possible - in fact the first 28 propositions of The Elements are proved without using it. Another comment worth making at this point is that Euclid , and many that were to follow him, assumed that straight lines were infinite. Proclus (410-485) wrote a commentary on The Elements where he comments on attempted proofs to deduce the fifth postulate from the other four, in particular he notes that

66. Geometry Algorithm Home Resources for computational geometry algorithm software programming including monthly algorithms with C++ code and an archive, AND a short history of http://geometryalgorithms.com/

Geometry Algorithms [Home] Overview History Algorithms Books ... Gift Shop Welcome to Dan Sunday's Geometry Algorithms web site. Here you will find resources for developing geometry algorithm and computer graphics software. Whether you're just interested in learning about this class of algorithms, or have a real problem to solve, we may have what you need. Look around. Visit the Geometry Gift Shop Hot Books (Click on Cover for Info) The Road to Reality by Roger Penrose Computational Geometry in C by Joseph O'Rourke Computational Geometry by Mark de Berg et al Geometric Tools Overview Linear Algebra (PDF) Geometry History Geometers History Books History Web Sites ... Video Lessons Featured Items The Standard Deviants: Learn Geometry (Video) by Cerebellum Corp Origami Design Secrets: Mathematical Methods for an Ancient Art by Robert Lang Need Help? Contact us at: services@softsurfer.com Help SUPPORT This Site Please make purchases through this site to help support us. The cost is the same to you, but we get a small commission.

67. Geometry The word geometry is Greek for geos meaning earth and metron - meaning measure. geometry was extremely important to ancient societies and was used for http://math.about.com/library/weekly/aa031503a.htm

zGCID=" test0" zGCID=" test0 test14" zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') You are here: About Education Mathematics Math Help and Tutorials ... Geometry Geometry Mathematics Education Mathematics Essentials ... Help Geometry : An Introduction (Terms) A Free On-Line Course In Geometry - Part 1 Background Information Free Geometry Basics Course Part 1 Terms in Geometry Part 2 Types of Angles Part 3 Postulates Part 4 Measuring Angles Part 5 Bisectors, Congruencies, Theorems Part 6 Transfersal Properties Geometry Help Mathematicians Review Conic Sections Pythagorean Theorem Related Resources Measurement Formulas Recommended Resources Area Calculator T he word geometry is Greek for geos - meaning earth and metron - meaning measure. Geometry was extremely important to ancient societies and was used for surveying, astronomy, navigation, and building. Geometry, as we know it is actually known as Euclidean geometry which was written well over 2000 years ago in Ancient Greece by Euclid, Pythagoras, Thales, Plato and Aristotle just to mention a few. The most fascinating and accurate geometry text was written by Euclid, and was called Elements. Euclid's text has been used for over 2000 years! G eometry is the study of angles and triangles, perimeter, area and volume. It differs from algebra in that one develops a logical structure where mathematical relationships are proved and applied. In part 1, you will learn about the basic terms associated with Geometry.

68. Geometry - HomeworkSpot.com Explore the best geometry resources for middle school students. http://www.homeworkspot.com/middle/math/geometry.htm

Back to Home Ask an Expert Current Events Libraries ... Back to Home Page Reference Desk Almanacs Ask an Expert Atlases Biographies Calculators Calendars Citations Current Events Dictionaries Encyclopedias Government Homework Hotlines Libraries Lists Museums People Reading Room Quotations Safe search engines Statistics Thesauri Trivia Much More... Current Events HOMEWORK Education Headlines News for Kids K-12 Newspapers Current Events HEADLINESPOT Today's Top Stories Search the News News By City News By State News by Country Education News Health News Political News Sports News Weather Much More... StartSpot Network BookSpot.com CinemaSpot.com EmploymentSpot.com GenealogySpot.com GiveSpot.com GourmetSpot.com GovSpot.com HeadlineSpot.com HomeworkSpot.com LibrarySpot.com MuseumSpot.com PeopleSpot.com ShoppingSpot.com TripSpot.com Search Must-See Articles and Tips Find know? HomeworkSpot ... Math Advertisement More to Explore Departments Articles Answers Themes Field Trips ... Trivia Most Popular Science Fair Center Human Body Dinosaurs The Middle Ages Related Spots BookSpot MuseumSpot LibrarySpot Back to Home Page ... Geometry All geometry topics are covered here!

69. Arithmetic Algebraic Geometry A European network of 12 working groups from 6 countries. http://www.arithgeom-network.univ-rennes1.fr/

A Research Training Network of the European Union Overview Partners Programme Positions Activities Project overview Developing powerful methods taken from geometry to study the arithmetical properties of algebraic equations Algebraic equations and their arithmetical properties have interested mankind since antiquity. One has only to think of the works of Pythagoras and Diophantus, which were a milestone in their time. For many centuries such problems have fascinated both serious mathematicians (Fermat, Gauss, ...) and amateurs alike. However, developments in recent years have transformed the subject into one of the central areas of mathematical research, which has relations with, or applications to, virtually every mathematical field, as well as an impact to contemporary everyday life (for example, the use of prime numbers and factorisation for encoding "smart" cards). The classical treatment of equations by analysis and geometry in the realm of complex numbers in this century has found a counterpart, in the similar theories over finite and p -adic fields, which have particular significance for arithmetic questions. The study of certain functions encoding arithmetic information and generalising the Riemann zeta-function (

70. Anti-Grain Geometry - About News License Download Screenshots Demo SVG Viewer AGG@PAS CVS Documentation Tips Tricks Research Articles http://www.antigrain.com/

The latest news: July 8, 2007: New article Texts Rasterization Exposures The AGG button: News Docs Download Mailing List ... CVS High Fidelity 2D Graphics A High Quality Rendering Engine for C++ Also Visit: Maxim Shemanarev Web Design and Programming Maxim Shemanarev

71. History Of Mathematics - Table Of Contents Topics include background in Babylonian, Euclid, Al Khwarizmi, pi, and trigonometry. Also has recreations and java chat. http://members.aol.com/bbyars1/contents.html

And Insights into the History of Mathematics Table of Contents Prologue The First Mathematicians The Most Famous Teacher Pi: It Will Blow Your Mind ... Comments and Notices "If your computer is having problems, you can send it to certified nerds Check out the site by clicking this Ohio Computer repair link"

72. GANG | Geometry Analysis Numerics Graphics An interdisciplinary Differential geometry research team in the Dept of Mathematics and Statistics at UMass Amherst. http://www.gang.umass.edu/

The GANG Gallery of Constant Mean Curvature Surfaces The GANG Gallery of Willmore Surfaces The GANG Gallery of Minimal Surfaces The GANG Gallery of Pseudospherical Surfaces Summer REU program at GANG REU Main Page

73. Sacred Geometry Home Page By Bruce Rawles Sacred geometry is an ancient art and science which reveals the nature of our relationship to the cosmos. Its study unfolds the principle of oneness http://www.geometrycode.com/sg/index.shtml

The Geometry Code Symbolic Wisdom of Natural Laws Within Us Home Introduction Gallery Community ... Free Samples Books Sacred Geometry Design Sourcebook (SGDS) SGDS: Kudos SGDS: Free Samples SGDS: FAQ ... More Books Sacred Geometry Video Patterns Hexagonals Pentagonals Screensavers The Geometry Code (GC) - Screen Saver/eBooklet GC: Kudos GC: Ordering LightSOURCE and others Video/Digital Media Interviews/Presentations Animations More Video Graphics/Other Fine Art Prints Posters Greeting Cards Photography ... More Graphics Favorite Quotes "The Cosmos is an utterly malleable experience that feeds back to us what we want to perceive." - Chris Ladue Sacred Geometry Home Page by Bruce Rawles In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. It is this principle of oneness underlying all geometry that permeates the architecture of all form in its myriad diversity. This principle of interconnectedness, inseparability and union provides us with a continuous reminder of our relationship to the whole, a blueprint for the mind to the sacred foundation of all things created. The Sphere (charcoal sketch of a sphere by

74. Front: Math.AG Algebraic Geometry math.AG Algebraic geometry. Calendar Search Atom feed. Search. Author, Title/ID. Abstract+, Category. 25, 50, 100, 200. articles per page, Show http://front.math.ucdavis.edu/math.AG

Front for the arXiv Thu, 24 Jan 2008 Front math AG search register submit journals ... iFAQ math.AG Algebraic Geometry Calendar Search Atom feed Search Author Title/ID Abstract+ Category articles per page Show Search help Recent New articles (last 12) 24 Jan arXiv:0801.3600 ACM bundles on cubic surfaces. Marta Casanellas , Robin Hartshorne math.AG math.AC 24 Jan arXiv:0801.3551 Motivic and quantum invariance under stratified Mukai flops. Baohua Fu (LMJL), Chin-Lung Wang math.AG 24 Jan arXiv:0801.3534 On some smooth projective two-orbits varieties with Picard number 1. Boris Pasquier math.AG 24 Jan arXiv:0801.3512 Admissible local systems for a class of line arrangements. Shaheen Nazir , Zahid Raza math.AG 24 Jan arXiv:0801.3499 Sheaves on local Calabi-Yau varieties. Matthew Robert Ballard math.AG 22 Jan arXiv:0801.3245 Seshadri constants on surfaces of general type. Thomas Bauer , Tomasz Szemberg math.AG 22 Jan arXiv:0801.3236 Beilinson's Hodge Conjecture for K_1 revisited. Su-Jeong Kang , James D. Lewis math.AG 22 Jan arXiv:0801.3233 Lecture Notes: Twisted Deformation Quantization of Algebraic Varieties. Amnon Yekutieli math.AG

75. Electronic Geometry Models Reviewed collection of digital geometry models for research and education in mathematics. The geometry models in this archive cover a broad range of http://www.eg-models.de/

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76. Untitled Document Interactive geometry@Ambleweb. Use our selection of JAVA based online tools to explore the properties of various regular and irregular shapes as well as http://www.amblesideprimary.com/ambleweb/sketchpad/index.htm

Interactive Geometry@Ambleweb Use our selection of JAVA based online tools to explore the properties of various regular and irregular shapes as well as mirror and rotational symmetry. (The first one may take a few moments to download - following ones will load a lot quicker.) Choose one: A CIRCLE REGULAR HEXAGON A CUBOID (3D) EQUILATERAL TRIANGLE ... ROTATIONAL SYMMETRY Instructions: Once the program has loaded you can move the vertices and points marked with red using the mouse. To reset the shape, press 'r' Each page has a brief selection of teaching ideas / notes. They have been developed for use by a class teacher using a computer with a class or group, although they could be used for investigations by independent groups of children. CLICK HERE TO RETURN TO THE NUMERACY PAGE SKETCHPAD JAVA APPLET (c) Keypress, 1999

77. 51: Geometry geometry is studied from many perspectives! This large area includes classical Euclidean geometry and synthetic (nonEuclidean) geometries; http://www.math.niu.edu/~rusin/known-math/index/51-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 51: Geometry Introduction Geometry is studied from many perspectives! This large area includes classical Euclidean geometry and synthetic (non-Euclidean) geometries; analytic geometry; incidence geometries (including projective planes); metric properties (lengths and angles); and combinatorial geometries such as those arising in finite group theory. Many results in this area are basic in either the sense of simple, or useful, or both! There is separate page for constructibility questions (i.e. compass-and-straightedge constructions). There is a separate page for a triangulation problem (in the geographers' sense, not the topologists'). Included on that page is information about determining location by distances from fixed points. History A bibliography (and some related web sites) on the history of geometry is available from David Joyce. See the article on NonEuclidean geometry at St Andrews. Applications and related fields As appealing as questions on simple geometry are, they are often mathematically speaking rather trivial, so we have little material here. Some of the meatier issues in "geometry" are easily classified somewhere else. Thus you'll have to look elsewhere for topics on

78. IKnowthat.com Geometry Workshop Game - Online Multimedia Educational Games For K The geometry Workshop is an openended activity in which children can explore 2D geometry. The workshop has tools for drawing, resizing and coloring shapes. http://www.iknowthat.com/com/L3?Area=GeometryWorkbench

79. Awesome Library - Mathematics In mathematics, Euclidean geometry is the familiar kind of geometry on Includes key questions asked by middle school students about geometry problems. http://www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Geom

Search Spelling Here: Home Classroom Mathematics Middle-High School Math > Geometry Geometry Also Try Math Lessons (Awesome Library) Provides lessons, worksheets, and activities. 6-00 Games Geometry Game - Kali Geometry Game - QuasiTiler Teichmuller Space Navigator Geometry Game Lesson Plans Basic Shapes (Educator's Reference Desk) Provides five lesson plans, most related to basic shapes. 1-04 By Topic (Math.com) Provides geometry lessons and quizzes. Examples of topics include definitions, polygons, quadilaterals, Pythagorean theorem, prisms, pyramids, circles, spheres, cylinders, triangles, squares, and square roots. 5-00 Circles in Geometry (TeachNet) Provides a single lesson. Geometry (Weisstein and Wolfram Research) Provides a comprehensive set of advanced resources in geometry, including differential, non-euclidean, plane, line, coordinate, inversive, and much more. 12-99 Geometry - Measuring a Tree's Height (Vratil) Provides a lesson for a group to measure the height of a tree using geometry. 8-00 Geometry - Native American Designs (Hardaker) Provides hexagons, family square designs, landscaping, symbolic secrets, and more. 6-01

80. Quia - Geometric Terms Customize this activity Email this activity to a friend. Geometric Terms. Match the term with the correct definition. http://www.quia.com/jg/65535.html

@import url(/css/quia_button.css); Matching, flashcards, concentration, word search Geometric Terms Match the term with the correct definition. Tools See a list of terms used in these activities. Matching Flashcards Java non-Java ... Word Search Activity created by: Marty Pettigrew This activity was created by a Quia Web subscriber. To learn how to make your own, just like this, click here

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