Geometry.Net - Pure_And_Applied

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

Extractions: Japanese 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. 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. 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 Release Note
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/

Extractions: 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: Here are some more activities for your enjoyment:
Geometry Website
http://pittsford.monroe.edu/jefferson/calfieri/geometry/geoframe.html
Nineteenth Century Geometry
By Roberto Torretti, Universidad de Chile.
http://plato.stanford.edu/entries/geometry-19th/

Extractions: 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
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

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

Extractions: 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!
Computational Geometry
Elsevier journal edited by JörgRüdiger Sack and Kurt Mehlhorn.Category Science Math geometry Computational geometry Journals
http://www.elsevier.nl/locate/comgeo
Anngeo
Trento, Italy; 1115 June 2001.
http://www.science.unitn.it/cirm/anngeo.html
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/
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/

Extractions: Up: Geometry Reference Archives 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. Next: Part I: Two-Dimensional Geometry
Beiträge Zur Algebra Und Geometrie Homepage
Biannual journal on algebra, geometry, algebraic geometry, and related fields. Mostly in English.Category Science Math geometry JournalsBeiträge zur Algebra und Geometrie Contributions to Algebra andgeometry. ISSN 01384821 · Electronic Edition Managing Editors.
http://www.emis.de/journals/BAG/

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

Extractions: 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 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).
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
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/
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 SoftwareThe CGAL web pages have moved to http//www.cgal.org/.
http://www.cs.uu.nl/CGAL/
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/
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
Cabri Geometry
The home site for Cabri geometry, a dynamic geometry package .Category Science Math geometry SoftwareParlezvous français ? About Products Origins Books Webs News Contacts Cabrilog CabriJava CabriWorld 2001 Last
http://www-cabri.imag.fr/index-e.html
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

Extractions: 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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