41. Southwestern Center Home Based at the University of Arizona, in collaboration with the Universities of New Mexico, Southern California, and Texas. Annual conference. http://swc.math.arizona.edu/~swcenter/

Southwestern Center for Arithmetical Algebraic Geometry The Upcoming Arizona Winter School Previous Arizona Winter Schools Our Distinguished Lecture Series Notes and Other Documents ... A Slide Show (Requires Javascript) About the Southwestern Center Local and Travel Information Site Map and Search E-mail us News The schedule and notes for AWS 2003 are now available. Newcomers to the AWS may want to check our new Guide to the Arizona Winter School The Southwestern Center The Southwestern Center for Arithmetical Algebraic Geometry was founded in 1997 by seven mathematicians working in the southwest, namely Alex Buium, Minhyong Kim, Bill McCallum, Wayne Raskind, Dinesh Thakur, Doug Ulmer (PI), and Felipe Voloch. They were joined in 2002 by Michael Nakamaye, Bjorn Poonen, and Fernando Rodriguez-Villegas. The Center is funded by the National Science Foundation, and its activities include the annual Arizona Winter School and a distinguished lecture series. Follow the links at left to learn more about the Southwestern Center. Updates To receive occasional messages with news about the Southwestern Center, join our mailing list by filling out this

42. History Of Mathematics: History Of Geometry History of geometry. See also history of Greek mathematics. On the Web. Alist of articles on the history of geometry that have appeard in Math. http://aleph0.clarku.edu/~djoyce/mathhist/geometry.html

History of Geometry See also history of Greek mathematics. On the Web Xah Lee's A Visual Dictionary of Special Plane Curves A list of articles on the history of geometry that have appeard in Math. Teacher , part of Hubert Ludwig's bibliography of geometry articles from Mathematics Teacher stored at The Math Forum at Swarthmore. Although this Math Forum began as "The Geometry Forum", it has expanded its scope over the years. Pages on geometry at the Mathematical MacTutor History of Mathematics archive The Famous Curves index Pi through the ages ... Topology enters mathematics Tom Gettys' Polyhedra Hyperpages has beautiful images and full explanations of the Platonic solids, Archimedian solids, Kepler-Poinsot polyhedra, compound solids, and stellated polyhedra. Bibliography L. Boi, D. Flament, and J.-M. Salanskis, editors. 1830-1930: a century of geometry: epistemology, history, and mathematics. Springer-Verlag, Berlin-New York, 1992. Bold, Benjamin. Famous problems of mathematics; a history of constructions with straight edge and compasses. Van Nostrand Reinhold, New York, 1969.

43. Magma Computational Algebra System Home Page Comprehensive system for algebra, number theory and geometry. Can work with polynomials, matrices, groups, rings, fields, modules, lattices, algebras, graphs, codes, and curves. http://www.maths.usyd.edu.au:8000/u/magma/

The Magma Computational Algebra System for Algebra, Number Theory and Geometry Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric and geometric objects. Recent Notices: May 2002: Magma version 2.9 is ready for export. See Release Notes 2.9 for the release notes. About Magma What's New Magma on-line help FAQ ... Change Password (Registered Users Only) Magma is produced and distributed by the Computational Algebra Group within the School of Mathematics and Statistics of the University of Sydney.

44. GANG | Geometry Analysis Numerics Graphics An interdisciplinary Differential geometry research team in the Dept of Mathematics and Statistics Category Science Math geometry Differential geometry......The GANG Gallery of Constant Mean Curvature Surfaces. The GANG Galleryof Willmore Surfaces. The GANG Gallery of Minimal Surfaces. 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

45. EDGE A TMR network. Structure, activities, news and resources. http://edge.imada.sdu.dk/

EDGE EDGE information Welcome Structure Activities Positions available ... About this homepage EUROPEAN DIFFERENTIAL GEOMETRY ENDEAVOUR EDGE aims to encourage and facilitate research and training in major areas of differential geometry, which is a vibrant and central topic in pure mathematics today. A significant theme which unites the areas that are the subject of this endeavour is the interface with other disciplines, both pure (topology, algebraic geometry) and applied (mathematical physics, especially gauge theory and string theory). The members of EDGE are geometers in mathematical centres spreading among most European countries. These centres are grouped into nine geographical nodes which are responsible for the management of joint research projects and for the training of young researchers through exchange between the EDGE groups. The following are some of the common mathematical themes that underlie and unify the tasks to be addressed by EDGE. Another unifying theme is the use of analytical and differential-geometric methods in attacking problems whose origin is not in differential geometry per se. These methods will be used by researchers throughout the network to investigate a wide variety of problems in related areas of mathematics including topology, algebraic geometry, and mathematical physics. In algebraic geometry, for example, there are a number of problems that are best attacked with `transcendental methods'. In some cases, the research concerns correspondences between differential-geometric and algebraic-geometric objects (as in the Hitchin-Kobayashi correspondence and its generalizations).

46. Interactive Mathematics Miscellany And Puzzles, Geometry geometry page. A growing number of topics from geometry many of which areaccompanied by interactive illustrations and simulations. geometry Page. http://www.cut-the-knot.com/geometry.shtml

CTK Exchange Front Page Movie shortcuts Personal info ... Recommend this site Interactive Mathematics Miscellany and Puzzles Geometry Page 3 Utilities Puzzle 4 Travelers problem 9-point Circle as a Locus of Concurrency [Java] A Case of Similarity [Java] A Geometric Limit A problem with equilateral triangles [Java] About a Line and a Triangle [Java] Altitudes [Java] Altitudes and the Euler Line [Java] Angle Bisectors [Java] Angle Bisectors in a Quadrilateral [Java] Angle Preservation Property [Java] Angle Trisection [Java] Angle Trisectors on Circumcircle [Java] An Old Japanese Theorem Apollonian Gasket [Java] Apollonius Problem [Java] Archimedes' Method Area of Parallelogram [Java] Arithmetic-Geometric Mean Inequality Assimilation Illusion [Java] Asymmetric Propeller [Java] Barbier, The Theorem of [Java] Barycentric coordinates Barycentric coordinates and Geometric Probability Bender: A Visual Illusion [Java] Bisecting arcs Bisecting a shape Bounded Distance Brahmagupta's Theorem [Java] Brianchon's theorem [Java] Bulging lines illusion [Java] Butterfly Theorem Two Butterflies Theorem [Java] Cantor Set and Function Cantor sets [Java] C - C Carnot's Theorem Carnot's Theorem (Generalization of Wallace's theorem) [Java] Centroids in a Polygon [Java] Ceva's Theorem Ceva's Theorem and Fibonacci Bamboozlement [Java] Chain of Inscribed Circles [Java] Chaos, Emergence of

47. Math.com - World Of Math Online Offers free math lessons and homework help, with an emphasis on geometry, algebra, statistics, and calculus. http://www.math.com/

Home Teacher Parents Glossary ... Email this page to a friend Select Subject Basic Math Everyday Math Pre-Algebra Algebra ... Others Search New Game FREE! Math Super Fighters Play Now! ... Square Roots You only pay shipping and handling. Math.com is giving away FREE* Software to our members. It's FREE to become a member, so sign up and get your FREE software today. Kaplan® Emergency Test Prep Popular Science™ 100 Greatest Inventions Free Email @ Math.com Email Login Password New users sign up Membership Benefits Contact us Partnership Link to us Legal Notices . Please read our Privacy Policy

48. Geometry geometry. http://www.mathleague.com/help/geometry/geometry.htm

Geometry Basic terms Angles and angle terms Figures and polygons Area and perimeter ... Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League This page may not be mirrored or reproduced on any other internet site. Last updated March 2001 by Mark Motyka.

49. Index Symposium at the University of Durham, UK; 1626 July 2001. http://www.ma.ic.ac.uk/~ivanov/index.htl

Groups, Geometry and Combinatorics University of Durham, Durham, UK July 16-26, 2001 Sponsored by: London Mathematical Society (LMS) The Engineering and Physical Sciences Research Council (EPSRC) Organizers: Sasha Ivanov (Imperial College, London, UK) Martin Liebeck (Imperial College, London, UK) ... Map ABSTRACTS (final) dabstrac.tex dabstrac.dvi This page was created by Denis Ivanov

50. Mathematics Archives - Topics In Mathematics - Geometry geometry. KEYWORDS Examples, Animations, 3D geometry, Loci, Conics, Hyperbolic geometrySOURCE Cabrigéomètre TECHNOLOGY Java applets; La Cabri-Thèque ADD. http://archives.math.utk.edu/topics/geometry.html

Topics in Mathematics Geometry Alice Meets the 4th Dimension ADD. KEYWORDS: Four Dimensional Cube AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases AskERIC Lesson Plans - Geometry Border Pattern Gallery ADD. KEYWORDS: Symmetry Cabri Java Project ADD. KEYWORDS: Examples, Animations, 3D geometry, Loci, Conics, Hyperbolic Geometry SOURCE: TECHNOLOGY: Java applets ADD. KEYWORDS: Cabri Geometry resources Cercle d'Euler ADD. KEYWORDS: Euler Circles, Malfatti Circles, Poncelet Triangles, Morley Triangles, Podaires Triangles, Fermat Points, Feuerbach Points, Nagel Points, Gergonne Points Combinatorial Tiling Theory: Theorems - Algorithms - Visualization ADD. KEYWORDS: Two Dimensional Tilings, Three Dimensional Tilings, Face-Transitive Tilings, Periodic Delone Tilings, Orbifold Graphs, Classification of 3-Dimensional Tilings, Tiling Space by Platonic Solids, Enumeration of Polyhedral Crystal Structures The Computation of Certain Numbers Using a Ruler and Compass ADD. KEYWORDS:

51. Zenith Sacred Geometry Healing system clears blockages within a persons energy fields. Tonua G. Brown provides information and practitioners list. http://www.tonuabrown.com/zenith/

Fight Spam! Click Here. Welcome! Your interest in Zenith has brought you one step closer to accessing your true power, knowing your True Self, attaining a new level of self-understanding, balance, and healing, and connecting to a Higher Consciousness. I invite you to learn more about the Zenith system by reading What is Zenith? If you find that you would like to experience Zenith and learn what it can do for you, I hope that you will contact me or a practitioner in your area. I wish you infinite love, peace and joy on your journey to Self. Tonua G. Brown

52. Connected Geometry Home Page Connected geometry. Project Information. Connected topics Habits of MindAn Introduction to geometry; A Perfect Match Congruence and Proof; http://www.edc.org/LTT/ConnGeo/

Connected Geometry Project Information Connected Geometry is a curriculum development project, funded by the National Science Foundation, designed to help teachers and students engage in meaningful mathematical activity by offering students a chance to understand and appreciate the connections and unifying themes within mathematics, and to build on the connections between students' backgrounds and mathematics. Project Description Information on Availability Book Descriptions The Connected Geometry student book contains six chapters, allowing students to explore one idea in depth, seeing how it connects to many different mathematical topics: Habits of Mind: An Introduction to Geometry A Perfect Match: Congruence and Proof The Cutting Edge: Investigations in Dissection and Area A Matter of Scale: Pathways to Similarity and Trigonometry ... Optimization: A Geometric Approach Teacher materials include a complete Teacher's Guide (with suggested assessments), an extensive Solution and Problem Solving Resource guide (containing a complete solution to every problem), a book of Assessment Resources, and a book of Teaching Resources (masters). Along with these materials, teachers will receive a CD-ROM containing six modules (corresponding to the chapters above) with additional student lessons, solutions, and teaching notes. Sketchpad Sketches A paper by Daniel Scher in the Mathematics Teacher referred to sketches available here to explore rectangles with constant perimeters and areas with the Geometer's Sketchpad

53. Dpmms: Baker University of Cambridge. Number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry, Diophantine analysis. Fields medal, FRS. http://www.dpmms.cam.ac.uk/site2000/Staff/baker01.html

STAFF LIST: PURE MATHEMATICS Alan Baker, FRS Title: Professor of Pure Mathematics Email a.baker@dpmms.cam.ac.uk Telephone (direct line): (+44) (0)1223.337974 Secretary: Mrs. M.Bailey (+44) (0) 1223.337994 Fax: (+44) (0)1223.337920 College: Trinity College Personal Home Page Courses Given, 2000-01 Graduate Students Research Interests: Keywords : Number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry, Diophantine analysis. Long Description "Baker's Theorem'' on the linear independence of logarithms of algebraic numbers has been the key to a vast range of developments in number theory over the past thirty years. Amongst the most significant are applications to the effective solution of Diophantine equations, to the resolution of class-number problems, to the theory of p -adic L Return to Departmental Staff List Email: office@dpmms.cam.ac.uk Email: office@dpmms.cam.ac.uk

54. Journal Of Differential Geometry Home Page International Press. presents Journal of Differential geometry online.About the Journal of Differential geometry. How do I subscribe? http://www.intlpress.com/JDG/

©Lehigh University ISSN 0022-040X Presented by International Press International Press presents Journal of Differential Geometry on-line About the Journal of Differential Geometry How do I subscribe? Who is involved in the JDG? ... License

55. International Biometric Group - Independent Biometrics Expertise Biometrics information including reports on hand geometry, iris, retina, finger scan, face geometry. IBGs BiometricStore, Comdex and Bio1.com. http://www.biometricgroup.com/

Independent Biometrics Expertise Home About Us Contact IBG IBG is the biometric industry's leading consulting and technology services firm. IBG has provided technology-neutral and vendor-independent biometric services and solutions to financial institutions, government agencies, systems integrators, and high-tech firms since 1996 IBG leverages real-world, hands-on experience with all biometrics - including fingerprint, face, and iris systems - to successfully evaluate, design, and deploy access control, IT security, transportation, smart card, and identification systems solutions. "...IBG's role in the biometric industry is critical, helping customers make the right technology decision..." Glen Pittaway Microsoft Client Testimonials IBG Case Studies Recent News IBG Delivers Report on Biometrics and Border Security to the White House ... Biometric Services and Solutions IBG designs reliable, standards-based solutions for citizen, employee, and customer authentication, and provides cost-effective strategies for biometric product development and deployment.

56. ThinkQuest Library Of Entries geometry The Basic Building Blocks of geometry. Prisms Pyramids Cylinder and ConesSphere and Similar Solids Coordinate geometry. Transformation (mapping basics). http://library.advanced.org/10030/geocon.htm

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Seeing is Believing , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Seeing is Believing click here Back to the Previous Page The Site you have Requested ... Seeing is Believing click here to view this site A ThinkQuest Internet Challenge 1997 Entry Click image for the Site Languages : Site Desciption Need a primer on math, science, technology, education, or art, or just looking for a new Internet search engine? This catch-all site covers them all. Maybe you're doing your homework and need to quickly look up a basic term? Here you'll find a brief yet concise reference source for all these topics. And if you're still not sure what's here, use the search feature to scan the entire site for your topic. Students Peter Oakhill College, Castle Hill Australia Suranthe H Oakhill College Australia Coaches Tina Oakhill College, Castle Hill

57. What Is GHL? A library for 2D and 3-D geometric calculation in C, with functions for shape generation, geometric evaluation, intersection, and offsetting and filleting. http://www.pml.co.jp/ghl/index.html

Geometry Handling Library Japanese Contents What is GHL? Release Notes More Details Demo Version ... GHL Users What is GHL? This is a complete C functions library of 2-D and 3-D geometric calculation. The library includes functions which calculate the following items for analytical and free-formed shapes, including NURBS, with high reliability and precision. Shape generation Evaluation of generated geometric elements Intersection of any combination of analytical and free-formed shapes Offsetting and filleting (2-D and 3-D) More than 2,000 external routines are included in this library. This library is written in standard C language, and thus portable to most of the workstations and personal computers working under various operating sysytems as follows. SGI IRIX Sun Solaris HP HP-UX Various PC Unixes Apple Mac OS X This product is used by various application systems which require precise geometric operations from 1992. GHL will be revised continuously to incorporate newly developed theory and algorithms. GHL 3.4.5 : latest version (shipped on Sep. '02 GHL 3.4.5 Release Note

58. Geometry In Motion by Daniel Scher. Sorry, this page requires a Javacompatible web browser.This site provides direct interaction with geometric diagrams http://www15.addr.com/~dscher/

by Daniel Scher Sorry, this page requires a Java-compatible web browser. This site provides direct interaction with geometric diagrams, courtesy of Java Sketchpad . In fact, if you're patient, you should see a Java sketch appear directly above. From time to time, I will update this site to include a range of mathematical applications. For starters, here are a variety of curve-drawing devices: Intersecting Circles The Falling Ladder The Sliding Triangle The Bent Straw ... Pantograph of Sylvester Here are some more activities for your enjoyment: The Birthday Problem The Pirate Problem Revisiting the Law of Cosines Counting Creases ... The Pinwheel And here are copies of my articles, all of which can be read with the free viewer Acrobat Reader: What to Expect When Geometry Becomes Interactive Dynamic Visualization and Proof: A New Approach to a Classic Problem Students' Conceptions of Geometry in a Dynamic Geometry Software Environment ... Dynamic Geometry Visualizations in Linear Algebra and its accompanying illustrations Problem Solving and Proof in the Age of Dynamic Geometry A Triangle Divided: Investigating Equal Areas The Building on Strengths Colloquium ... Research in Undergraduate Mathematics Education: A Map of the Territory For more information about the conic constructions, you can order my new, completely updated textbook Exploring Conic Sections with The Geometer's Sketchpad available from Key Curriculum Press Send questions and comments to JavaScript is required to view this email address WebCounter says that you are visitor number

59. Geometry Website http://pittsford.monroe.edu/jefferson/calfieri/geometry/geoframe.html

60. Nineteenth Century Geometry By Roberto Torretti, Universidad de Chile. http://plato.stanford.edu/entries/geometry-19th/

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z content revised MAR Nineteenth Century Geometry 1. Lobachevskian geometry 2. Projective geometry 3. Klein's Erlangen program 4. Axiomatics perfected ... Related Entries 1. Lobachevskian geometry Euclid (fl. 300 b.c.) placed at the head of his Elements aitemata 1. To draw a straight line from any point to any point. 3. To draw a circle with any center and any radius. Figure 1 In the darker ages that followed, Euclid's sense of mathematical freedom was lost and philosophers and mathematicians expected geometry to rest on self-evident grounds. Now, if a is perpendicular and b is almost perpendicular to PQ, a and b approach each other very slowly on one side of PQ and it is not self-evident that they must eventually meet somewhere on that side. After all, the hyperbole indefinitely approaches its asymptotes and yet, demonstrably, never meets them. Through the centuries, several authors demanded-and attempted-a proof of Euclid's Postulate. John Wallis (b. 1616, d. 1703) derived it from the assumption that there are polygons of different sizes that have the same shape. But then this assumption needs proof in turn. Girolamo Saccheri (b. 1667, d. 1733) tried reductio . He inferred a long series of propositions from the negation of Euclid's Postulate, until he reached one which he pronounced "repugnant to the nature of the straight line". But Saccheri's understanding of this "nature" was nourished by Euclidean geometry and his conclusion begged the question.

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