21. Advanced Geometry ITS To build such an ITS requires a geometry theorem prover that can do auxiliary lineconstruction. Modeling Hinting Strategies for geometry theorem Proving. http://www.pitt.edu/~mazda/AdvGeo/

Advanced Geometry Intelligent Tutoring System Back to CIRCLE Overview: This project is building a tutoring system for use in advanced geometry and enrichment classes. In particular, it will tutor theorem proving with construction of auxiliary lines and points, which is one of the most challenging and creative parts of geometry. To build such an ITS requires a geometry theorem prover that can do auxiliary line construction. GRAMY : a theorem prover for auxiliary line construction. GRAMY-gui : a GUI to reify a search strategy (i.e., to make it visible and manipulable). This project is affiliated with CIRCLE: an NSF center for the study of tutoring People: Kurt VanLehn , University of Pittsburgh, Computer Science Professor, Principal Investigator. Noboru Matsuda , University of Pittsburgh, Graduate Student. Publications: Noboru Matsuda and Kurt VanLehn. (2002). GRAMY: A theorem prover for geometry theorems with construction. (submitted to a journal) Noboru Matsuda and Kurt VanLehn. (2002). Modeling Hinting Strategies for Geometry Theorem Proving. (Submitted to a peer-reviewed international conference) Noboru Matsuda and Kurt VanLehn. (2000).

22. Hyperbolic Geometry Theorem 6 First Previous Next Last Index Text. Slide 6 of 7. http://www.cbu.edu/~baumeyer/WebSpring2001/M301/PowerPointNotes/ch6/sld006.htm

23. Hyperbolic Geometry Theorem 5 First Previous Next Last Index Text. Slide 5 of 7. http://www.cbu.edu/~baumeyer/WebSpring2001/M301/PowerPointNotes/ch6/sld005.htm

24. ICAI '99 -- Automatted Geometry Theorem Proving Automatted geometry theorem Proving. Judit Robu. Abstract. Mechanical geometrytheorem proving is a classic artificial intelligence subject. http://sztech.ektf.hu/icai01/abstracts/robujudit.html

Automatted Geometry Theorem Proving Judit Robu Abstract Mechanical geometry theorem proving is a classic artificial intelligence subject. Several methods were developed, with very different mathematical background, some of them being quite efficient in proving constructive geometry theorems. I present some of these methods, as the characteristic set method and the area method.

25. Adobe PDF Document - Geometry Theorem Proving In Vector Spaces By Means Of Grobn Document Title geometry theorem Proving in Vector Spaces by Means of GrobnerBases. Author Date Pages 199707-09 114857, 10. Download* 1 min, 49 sec. http://searchpdf.adobe.com/proxies/2/25/46/91.html

Read more about this service. http://www.acm.org/pubs/articles/proceedings/issac/164081/p301-stifter/p301-stifter.pdf Document Title: Geometry Theorem Proving in Vector Spaces by Means of Grobner Bases Author: Date: Pages: Download*: 1 min, 49 sec Size: 784623 bytes * Download time assuming 56 kbps modem. To view Adobe PDF files: Try our Adobe PDF services: Summary: Keywords: coordinates, bound, auto, hypotheses, h4, V1, basis, al, am, algorithm, automated geometry theorem, Grobner basis depends, Various Euclidean Rings, hypotheses polynomials hl, Vn denote points, Vector Spaces Geometry, various geometric theorems, scalar var Categories: More like this document!

26. DBLP: Shang-Ching Chou 2000. 33, ShangChing Chou, Xiao-Shan Gao, Jing-Zhong Zhang A DeductiveDatabase Approach to Automated geometry theorem Proving and Discovering. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/c/Chou:Shang=Ching.htm

Shang-Ching Chou List of publications from the DBLP Bibliography Server FAQ Ask others: ACM CiteSeer CSB Google ... Home Page (Link generated by HomePageSearch Shang-Ching Chou, Xiao-Shan Gao : Automated Reasoning in Geometry. Handbook of Automated Reasoning 2001 Shang-Ching Chou, Xiao-Shan Gao Jing-Zhong Zhang : A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering. Journal of Automated Reasoning 25 Lu Yang Xiao-Shan Gao , Shang-Ching Chou, Jing-Zhong Zhang : Automated Production of Readable Proofs for Theorems in Non-Euclidian Geometries. Automated Deduction in Geometry 1996 Shang-Ching Chou, Xiao-Shan Gao Jing-Zhong Zhang : An Introduction to Geometry Expert. CADE 1996 Shang-Ching Chou, Xiao-Shan Gao : Automated Generation of Readable Proofs with Geometric Invariants I. Multiple and Shortest Proof Generation. Journal of Automated Reasoning 17 Shang-Ching Chou, Xiao-Shan Gao Jing-Zhong Zhang : Automated Generation of Readable Proofs with Geometric Invariants. Journal of Automated Reasoning 17 Jing-Zhong Zhang , Shang-Ching Chou, Xiao-Shan Gao : Automated Production of Traditional Proofs for Theorems in Euclidean Geometry.

27. Librairie Eyrolles, A Combination Of Geometry Theorem Proving And Translate this page principia mathematica' principia contains prose style mixture geometric limit reasoningviewed logically vague combination geometry theorem proving no. Accueil, http://www.calindex.com/livre-sciences-techniques-mathematiques-mathematiques-pa

28. Êýѧ»úе»¯ÖÐÐĽéÉÜ (2) Automated Reasoning?Research topics include automated geometry theoremproving. The Clifford method of automated geometry theorem proving. http://www.mmrc.iss.ac.cn/eintro.html

Mathematics Mechanization Research Center Institute of Systems Science The Chinese Academy of Sciences Beijing 100080, P.R. China Tel Fax email: xgao@mmrc.iss.ac.cn Research Directions Theories of Mathematics Mechanization (1) Polynomial and Differential Equation Solving Equation solving is one of the most fundamental mathematical problem and has applications in many science and engineering fields. Wu¡¯s elimination theory provides a complete method of solving polynomial equations. Current research topics include: symbolic and numerical hybrid methods, solution of polynomial equations over the field of real numbers, solution of differential equations with the symmetric methods, solution of differential equations with the transformation methods. (2) Automated Reasoning Research topics include: automated geometry theorem proving. Here geometry includes Euclidean geometry, non-Euclidean geometry, differential geometry, finite geometry. The Clifford method of automated geometry theorem proving. The deductive database method of automated theorem proving. Resolution. (3) Constructive Algebraic Geometry Research topics include: effective and parallel Wu-Ritt zero decomposition algorithm study of Chern classes for singular algebraic varieties; computation of the genus of algebraic curves and surfaces; decision methods for isomorphism of algebraic varieties; and constructive Galois theory.

29. Juno-2 Figure: Theorem Of Projective Geometry Theorem of Projective Geometry. All rights reserved. Lyle Ramshaw used Juno2to draw this figure, which illustrates a theorem of projective geometry. http://research.compaq.com/SRC/juno-2/quad.html

Theorem of Projective Geometry Lyle Ramshaw used Juno-2 to draw this figure, which illustrates a theorem of projective geometry. A complete quadrilateral (the four black lines in the lower half of the figure) has three pairs of opposite vertices. If lines are drawn from these six vertices through a point on a conic section (in this case an ellipse), each line intersects the conic section a second time. The three cords determined by the three pairs of second intersections (the thick blue, red, and green lines at the top of the figure) are concurrent. Once this figure is clicked in and all the constraints have been applied, it is possible to drag the ellipse or the vertices of the complete quadrilateral, and all the relationships required by the theorem's antecedent are maintained! This makes it easy to choose an arrangement of the shapes that results in an aesthetically pleasing presentation of the theorem. Previous: Spirograph Next: Block Letter A Up: Juno-2 Home Page Last modified on Wed Feb 19 16:41:02 PST 1997 by heydon Legal Statement Privacy Statement

30. Mathematics Mechanization: Mechanical Geometry Theorem-Proving,... By Wen-Tsun W Buy Mathematics Mechanization Mechanical geometry theoremProving, MathematicsMechanization Mechanical geometry theorem-Proving, http://www.rbookshop.com/mathematics/p/Polynomials/Mathematics_Mechanization_Mec

AMAZON.COM Search All Products Electronics Books Classical Music DVD Kitchen Popular Music Software Toys VHS Video Video Games Enter keywords: Related Stores Math Videos Math Software Computers and Accessories Toys and Games More Stores Ray Ban Store Sporting Goods Store Electronics Store Electronics Store ... Toy Store NOTICE : All prices, availability, and specifications are subject to verification by their respective retailers. Privacy Policy info@rbookshop.com Last Modified : 3-16-2003 Mathematics Mechanization: Mechanical Geometry Theorem-Proving,... Home Mathematics Books Polynomials Mathematics Mechanization: Mechanical Geometry Theorem-Proving,... by Wen-Tsun Wu (Hardcover - January 2001) List Price: $186.00 At Amazon on 3-16-2003. Book Info A collection of essays centered around mathematical mechanization, dealing with mathematics in an algorithmic and constructive manner, with the aim of developing mechanical, automated reasoning. Discusses historical developments, underlying principles, and features applications and examples. Mathematics Mechanization: Mechanical Geometry Theorem-Proving,...

31. Www.math.niu.edu/~rusin/known-math/99/minsky geometry proof methods to Nathaniel Rochester at IBM research, and he set a youngmathematician, Herbert Gelernter, to work on geometry theorem Proving. http://www.math.niu.edu/~rusin/known-math/99/minsky

From: minsky@media.mit.edu Subject: Re: Mathematics trivia questions Date: Fri, 24 Dec 1999 18:25:35 GMT Newsgroups: sci.math Keywords: automated proof of Pons Asinorum In article , Mike Christie < ABC = < ACB." djr]

32. GRAMY A Theorem Prover For Geometry Theorems With Construction Noboru Matsuda, February 14. This study investigates a computationalmodel for Euclidean geometry theorem proving with construction. http://www.isp.pitt.edu/upcoming_events/abstracts/matsuda.html

GRAMY: A Theorem Prover for Geometry Theorems with Construction Noboru Matsuda, February 14

33. VL Geometrie Mit Dem Computer Dr. HG Gräbe geometry theorem Proving on the Computer. Participants Examples.Literature SC Chou Mechanical geometry theorem proving. Kluwer Acad. http://www.informatik.uni-leipzig.de/~graebe/vorlesungen/englisch/geometrie.html

Geometry Theorem Proving on the Computer Participants: Students of computer science and mathematics that will learn more about applications of symbolic computations. Credits as special course of applied or theoretical computer science. Overview: In the course the audience will learn more about different symbolic methods, that proved useful in applications to geometric problem solving. Structure: Introduction to geometric problems Symbolic representation of geometric constructions Geometry theorems of constructive type Geometry theorems of equational type Different higher algebra approaches Examples Literature: S.-C. Chou: Mechanical geometry theorem proving. Kluwer Acad. Publishers, Dordrecht 2002. S.-C. Chou u.a.: Machine Proofs in Geometry - Automated Production of Readable Proofs for Geometry Theorems. World Scientific, Singapore 1994 . D. Cox, J. Little, D. O'Shea : Ideals, varieties, and algorithms. Springer, New York 1992. H.S.M. Coxeter and S.L. Greitzer : Geometry revisted. Toronto - New York, 1967. W. Wu: Mechanical theorem proving in geometries. Springer, Wien 1994.

34. Untitled A Refutational Approach to geometry theorem Proving Journal of ArtificialIntelligence, Vol. 37, Dec. 1988, 6193. Deepak Kapur http://www.cs.unm.edu/~kapur/myabstracts/ai.88.html

A Refutational Approach to Geometry Theorem Proving Journal of Artificial Intelligence , Vol. 37, Dec. 1988, 61-93. Deepak Kapur For a copy of this paper, email request to kapur@cs.unm.edu

35. Core Library Proving Theorems For technical details, see our paper Randomized Zero Testing of Radical Expressionsand Elementary geometry theorem Proving, by D. Tulone, C. Yap and C. Li, in http://www.cs.nyu.edu/exact/core/prover/

Proving Geometric Theorems about Ruler-and-Compass Constructions We introduce a new approach to proving classical theorems about ruler-and-compass constructions. Our approach is a randomized one by testing the conjecture on randomly generating instances of a ruler-and-compass construction. Our prover is based on a generalization of the Schwartz-Zippel Lemma about the randomized zero testing for polynomials. Basically, we generalize the lemma for radical expressions (which also has division and square roots). This result has independent interest. A version of this prover is in the Core Library distribution (version 1.2 onwards). But we hope to distribute a more full-scale version (with GUI interface, etc) at this website in the future. For technical details, see our paper Randomized Zero Testing of Radical Expressions and Elementary Geometry Theorem Proving , by D. Tulone, C. Yap and C. Li, in Proc. Int'l Workshop on Automated Deduction in Geometry (ADG'00), Zurich, Sep 25-27, 2000. The full version can also be found in LNCS/LNAI 2061. Evaluation of our Prover Download the prover (April 2001).

36. Theorem Solutions' AP209 - CATIA V4 Translator Supports Geometry, Finite Element Theorem Solutions' AP209 CATIA V4 translator supports geometry, finite elementmesh, loads, constraints and results for a variety of element types. http://pdesinc.aticorp.org/whatsnew/Theorem_Solutions.html

Theorem Solutions' AP209 - CATIA V4 translator supports geometry, finite element mesh, loads, constraints and results for a variety of element types. Contact mailto:marketing@theorem.co.uk for further information.

37. Theorem Statement From Geometry Theorem Statement from Geometry. After you look at the figure below,you can go on to review my comparison of the Formal vs. the http://www.ajnpx.com/html/Memorization/TheoremStatement1.html

Math Publications CliffordAlgebra Wedge Math Flow Charts Math Home Page ... Home Page for Patrick Reany Theorem Statement from Geometry After you look at the figure below, you can go on to review my comparison of the Formal vs. the Motivated presentation in this real problem taken from a high school geometry book. Next page of Theorem-Proof

38. The Geometry Of The Gauss-Markov Theorem The geometry of the Paul A. Ruud University of California, Berkeley Tue Aug 1 113032 PDT 1995 The ELSA logo and other images used in this document were created using the POVRAY program. http://emlab.berkeley.edu/GMTheorem

Next: Introduction The Geometry of the Gauss-Markov Theorem Paul A. Ruud Econometrics Laboratory University of California, Berkeley Tue Aug 1 11:30:32 PDT 1995 Introduction Ordinary Least Squares Geometry Summary of Ordinary Least Squares Geometry ... Variance Ellipsoids The ELSA logo and other images used in this document were created using the POVRAY program. ruud@econ.Berkeley.EDU

39. Menelaus' And Ceva's Theorems And Their Many Applications theorems involving Menelaus' theorem and some applications of Menelaus' theorem to geometry problems. http://hamiltonious.virtualave.net/essays/othe/finalpaper4.htm

Let American Consumer Counseling Help you Get Out of Debt! Introduction Proof of Menelaus Theorem Diagram 1 In this instance, triangle ABC is cut by transversal LN, and the three segments having no common end are NC, MA, and BL. The three other segments are AN, BM, and FL. Since their products are equal, it is easy to conclude that if the product of one of the two groups of three segments becomes the numerator in a fraction with the other product as the denominator, the fraction would be equal to 1, hence the equation in the above figure. There is more than one proof of Menelaus, but the more elegant proof is the one that will be discussed in this paper. To start with, have any triangle ABC cut by transversal LN. (Refer to diagram 1) Extend BC such that it intersects with L and label the other two points of intersection M (on segment BA) and N (on segment CA.) After that, construct perpendicular segments p (A to MN), q (C to LN), and r (B to LM.) (Diagram 2) Diagram 2 It can be concluded: Therefore: 1) Triangle XMB := Triangle YMA. (AA Theorem)

40. Dave's Math Tables Features common formulas for arithmetic, algebra, geometry, calculus, and statistics. theorem, Also, has forum board to ask questions. Available in both English and Spanish. http://www.math2.org/index.xml

Cocoon 1.8.2 Error found handling the request. Warning : this page has been dynamically generated. The Apache XML Project

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