41. 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

42. 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

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

44. 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 JUL 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. However, the fifth one sounds more like a statement of fact. Still, it can readily be paraphrased as a recipe for constructing triangles: Given any segment PQ, draw a straight line a through P and a straight line b through Q, so that a and b lie on the same plane; verify that the angles that a and b make with PQ on one of the two sides of PQ add up to less than two right angles; if this condition is satisfied, it should be granted that a and b meet at a point R on that same side of PQ, thus forming the triangle PQR. (See Figure 1.) This request is known as "Euclid's Postulate". 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

45. The Geometry Junkyard: Knot Theory A page of links on geometric questions arising from knot embeddings. http://www.ics.uci.edu/~eppstein/junkyard/knot.html

Knot Theory There is of course an enormous body of work on knot invariants, the 3-manifold topology of knot complements , connections between knot theory and statistical mechanics, etc. I am instead interested here primarily in geometric questions arising from knot embeddings. Atlas of oriented knots and links , Corinne Cerf extends previous lists of all small knots and links, to allow each component of the link to be marked by an orientation. Borromean rings don't exist . Geoff Mess relates a proof that the Borromean ring configuration (in which three loops are tangled together but no pair is linked) can not be formed out of circles. Dan Asimov discusses some related higher dimensional questions. Matthew Cook conjectures the converse Are Borromean links so rare? S. Javan relates the history of the links and describes various generalizations with more than three rings. For more history and symbolism of the Borromean rings, see Peter Cromwell's web site . See also Paul Bourke's Borromean rings page A Brunnian link . Cutting any one of five links allows the remaining four to be disconnected from each other, so this is in some sense a generalization of the Borromean rings. However since each pair of links crosses four times, it can't be drawn with circles. Colinear points on knots Greg Kuperberg shows that a non-trivial knot or link in R necessarily has four colinear points.

46. PROJECTIVE GEOMETRY Rudolf Steiner's approach.Category Science Math geometry Projective......Projective geometry is a beautiful subject which has some remarkableapplications beyond those in standard textbooks. These were http://www.anth.org.uk/NCT/

Projective geometry is a beautiful subject which has some remarkable applications beyond those in standard textbooks. These were pointed to by Rudolf Steiner who sought an exact way of working scientifically with aspects of reality which cannot be described in terms of ordinary physical measurements. His colleague George Adams worked out much of this and pointed the way to some remarkable research done by Lawrence Edwards in recent years. Steiner's spiritual research showed that there is another kind of space in which more subtle aspects of reality such as life processes take place. Adams took his descriptions of how this space is experienced and found a way of specifying it geometrically, which is dealt with in the Counter Space Page A brief introduction to the basics of the subject is given in the Basics Page The work of Lawrence Edwards is introduced in the Path Curves Page , and some explorations of his work on further aspects is described in the Pivot Transforms Page . This is mostly pictorial, with reference to documentation. YOU ARE INVITED TO EXPLORE!

47. Computational Geometry Elsevier journal edited by JörgRüdiger Sack and Kurt Mehlhorn.Category Science Math geometry Computational geometry Journals...... http://www.elsevier.nl/locate/comgeo

Home Search What's New Electronic Services ... Links Computational Geometry Journal Information Description Audience Abstracting/Indexing Bibliographic and Ordering Information ... Dispatch Dates Authors Author Gateway The fast and efficient new author service for this journal Online submission of papers Editors Information and services for Editors Contents Services ContentsDirect Full text Articles, Tables of Contents, Abstracts Free Sample Copy News/Related Websites MathematicsWeb The Mathematics Preprint Server Related Info ELSEVIER Last update: 15 Mar 2003

48. Anngeo Trento, Italy; 1115 June 2001. http://www.science.unitn.it/cirm/anngeo.html

49. Computational Geometry Similar pages More results from www.elsevier.nl Bubble geometry Science Museum of MinnesotaThinking Fountain image (17k), Bubble geometry. Have you ever seena square bubble? Experiment with bubbles. Create bubble wands out http://www.elsevier.nl/inca/publications/store/5/0/5/6/2/9/

Home Search What's New Electronic Services ... Links Computational Geometry Journal Information Description Audience Abstracting/Indexing Bibliographic and Ordering Information ... Dispatch Dates Authors Author Gateway The fast and efficient new author service for this journal Online submission of papers Editors Information and services for Editors Contents Services ContentsDirect Full text Articles, Tables of Contents, Abstracts Free Sample Copy News/Related Websites MathematicsWeb The Mathematics Preprint Server Related Info ELSEVIER Last update: 15 Mar 2003

50. Geometry Formulas And Facts An excerpt from the 30th Edition of the CRC Standard Mathematical Tables and Formulas. http://freeabel.geom.umn.edu/docs/reference/CRC-formulas/

Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives Geometry Formulas and Facts Silvio Levy This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas , published in late 1995 by CRC press This completely rewritten and updated edition of CRC's classical reference work is edited by Dan Zwillinger, and boasts the participation of dozens of distinguished contributors in all fields of mathematics. Ordering information is available here The present excerpt covers the area of Geometry (minus differential geometry). It was written by Silvio Levy and is reproduced here with permission. All the figures were made by the author using Mathematica , except those in Section , which were made using kali This online version was prepared with the help of Nikos Drakos's converter; for compatibility of text and formulas, choose a largish text font with your browser. A button in the text indicates a cross-reference. Part I: Two-Dimensional Geometry 1 Coordinate Systems in the Plane 1.1 Substitutions and Transformations 1.2 Cartesian Coordinates in the Plane ... 16 Quadrics Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives The Geometry Center Home Page Silvio Levy Wed Oct 4 16:41:25 PDT 1995 This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas CRC Press ). Unauthorized duplication is forbidden.

51. Beiträge Zur Algebra Und Geometrie Homepage Biannual journal on algebra, geometry, algebraic geometry, and related fields. Mostly in English.Category Science Math geometry Journals......Beiträge zur Algebra und Geometrie Contributions to Algebra andgeometry. ISSN 01384821 · Electronic Edition Managing Editors. http://www.emis.de/journals/BAG/

Contributions to Algebra and Geometry Managing Editors The mathematical Journal was founded in 1971 on the occasion of the 65th birthday of O.-H. Keller. It publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields , preferably in English language. For fastest access: Choose your nearest server! Editorial Contents Volume 34 (1993): No. 1 No. 2 Volume 35 (1994): No. 1 No. 2 Volume 36 (1995): No. 1 No. 2 Volume 37 (1996): No. 1 No. 2 Volume 38 (1997): No. 1 No. 2 Volume 39 (1998): No. 1 No. 2 Volume 40 (1999): No. 1 No. 2 Volume 41 (2000): No. 1 No. 2 Volume 42 (2001): No. 1 No. 2 Volume 43 (2002): No. 1 No. 2 Technical Notes ELibM and Heldermann Verlag

52. Graphics & Geometry Group Conducts research in realtime 3D model aquisition, shape-based retrieval and analysis, video mosaics, lapped textures, texture mapping for cel animation, and algorithm animation. http://www.cs.princeton.edu/gfx/

Princeton CS Dept Graphics: Search CS website:

53. Journal For Geometry And Graphics Biannual journal about graphics and graphics-related geometry, published by Heldermann Verlag. Includes Category Science Math geometry Journals......Journal for geometry and Graphics. ISSN 14338157 · Electronic EditionEditorial Board G. Bertoline (West Lafayette), Y. Charit http://www.emis.de/journals/JGG/

Journal for Geometry and Graphics Editorial Board G. Bertoline (West Lafayette), Y. Charit (Haifa), Chen Jiannan (Beijing), L. D. Goss (Evansville), J. Hoschek (Darmstadt), S. Ino (Hokkaido), R. D. Jenison (Ames), C. Leopold (Kaiserslautern), E. Molnár (Budapest), S. Nagano (Tokyo), M. Palej (Gliwice), K. Suzuki (Tokyo), J. P. Tschupik (Innsbruck), G. Weiß (Dresden), K. Yoshida (Osaka) Managing Editors R. E. Barr (Austin), M. Kato (Tokyo), H. Stachel (Vienna) The concern of this international scientific journal is to stimulate scientific research and teaching methodology in the field of graphics and graphics-related geometry by the dissemination of new results. The published papers are ordered into three groups: Theoretical Graphics (Section 1), Applications (Section 2), Graphics Education (Section 3). For fastest access: Choose your nearest server! Editorial Contents Volume 5 (2001) Number 1 Number 2 Volume 4 (2000) Number 1 Number 2 Volume 3 (1999) Number 1 Number 2 Volume 2 (1998) Number 1 Number 2 Volume 1 (1997) Number 1 Number 2 ELibM and Heldermann Verlag

54. String Theory: A Happy Marriage Of Geometry And Physics An introductory description of this theory with references to current work being done in the Netherlands. http://www.math.leidenuniv.nl/~stieltjes/archief/biennial9596/frame/node5.html

Next: Strings in physics and Up: No Title Previous: Research Highlights String Theory: A Happy Marriage of Geometry and Physics Research Programme: Algebraic and Analytic Geometry Researcher: R.H. Dijkgraaf J.H.M.Dassen Fri Mar 20 16:01:06 MET 1998

55. Computational Geometry, Algorithms And Applications Recent book with a focus on applications, by Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Category Science Math geometry Computational geometry Books...... Comments to geobook@cs.uu.nl. Last modified Oct 9, 2000. Computational geometryAlgorithms and Applications. Second Edition. Computational geometry. http://www.cs.uu.nl/geobook/

56. The Former CGAL Home Page The CGAL project is a collaborative effort to develop a robust, easy to use, and efficient C++ software Category Science Math geometry Computational geometry Software......The CGAL web pages have moved to http//www.cgal.org/. http://www.cs.uu.nl/CGAL/

57. Piguy 's Math Javascripts Page This page has dozens of math calculators, making all sorts of math, from algebra to arithmetic to geometry, easier. Also, 50,000 decimals of pi and a logarithm table. http://www.geocities.com/CapeCanaveral/Hall/1216/

Click above for more info about making money surfing... by the way, I have PROOF that you actually get paid piguy's Math Page Search this page! This search engine hasn't been working that well, so if you don't get good results, you aren't alone. It will be fixed soon (hopefully). Howdy! Thanks for coming to my web page. I am working on getting more stuff, but it is a slow process. JavaScript Things Logarithm Stuff Links Math Forum ... Webrings If you have any kind of complaint, comment, or hint, Please and let me know. Don't forget to sign my guestbook! Have a good Day! Take my poll! Click here to vote for other things. My website quality check How good is this website Totally, 100% AWESOME !!! If I liked Math, It would be pretty cool Decent, not great, but pretty good Not very good, needs work, probably in bottom 30% of websites Where in the world did you learn how to make a website?!?! Current Results FastCounter by LinkExchange people have visited this Math page since Sept. 18th, 1998 Sorry, you do not have a javascript compatible browser. You will not be able to see the beauty of this website. Find out about me and my family by clicking here

58. Geometry Of Sri Yantra Artistic and Historical Background. Historical Methods of Duplication. Modern Experiments in Construction. http://alumni.cse.ucsc.edu/~mikel/sriyantra/sriyantra.html

Artistic and Historical Background A curiosity: The mathematics of sriyantra by Joseph The geometry of Sri-yantra by Bolton and Macleod Art of Sri Yantra A connection with Indian ragas by Mookerjee Historical Methods of Duplication Construction by Order of Destruction Construction by Order of Creation Modern Experiments in Construction Construction by Checkerboard Construction by Golden Angle Complexity Measure A note on Computational Complexity of Sri Yantra by Kulaichev Bibliography Links please send me your feedback

59. Cabri Geometry The home site for Cabri geometry, a dynamic geometry package .Category Science Math geometry Software......Parlezvous français ? About Products Origins Books Webs News Contacts Cabrilog CabriJava CabriWorld 2001 Last http://www-cabri.imag.fr/index-e.html

About Products Origins News ... CabriWorld 2001 Last updated: 8 March 2003 webadmin@cabri.net

60. Notes On Differential Geometry By B. Csikós Notes by Bal¡zs Csik³s. Chapters in PostScript. http://www.cs.elte.hu/geometry/csikos/dif/dif.html

Differential Geometry Budapest Semesters in Mathematics Lecture Notes by Balázs Csikós FAQ: How to read these files? Answer: The files below are postscript files compressed with gzip . First decompress them by gunzip , then you can print them on any postscript printer, or you can use ghostview to view them and print selected (or all) pages on any printer. CONTENTS Unit 1. Basic Structures on R n , Length of Curves. Addition of vectors and multiplication by scalars, vector spaces over R, linear combinations, linear independence, basis, dimension, linear and affine linear subspaces, tangent space at a point, tangent bundle; dot product, length of vectors, the standard metric on R n ; balls, open subsets, the standard topology on R n , continuous maps and homeomorphisms; simple arcs and parameterized continuous curves, reparameterization, length of curves, integral formula for differentiable curves, parameterization by arc length. Unit 2. Curvatures of a Curve Convergence of k-planes, the osculating k-plane, curves of general type in R n , the osculating flag, vector fields, moving frames and Frenet frames along a curve, orientation of a vector space, the standard orientation of R n , the distinguished Frenet frame, Gram-Schmidt orthogonalization process, Frenet formulas, curvatures, invariance theorems, curves with prescribed curvatures.

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