101. NonEuclid - Hyperbolic Geometry Article + Software Applet NonEuclid is a Software Simulation offering Straightedge and Compass Constructions in Hyperbolic geometry (a geometry of Einstein s General Relativity Theory http://riceinfo.rice.edu/projects/NonEuclid/NonEuclid.html

NonEuclid NonEuclid is a Software Simulation offering Straightedge and Compass Constructions in Hyperbolic Geometry (a geometry of Einstein's General Relativity Theory and Curved Hyperspace) for use in High School and Undergraduate Education. This web site provides the platform independent, NonEuclid software (written in 100% pure Java) together with a 25 page, illustrated, hypertext introductory explanation of Hyperbolic Geometry. NonEuclid has moved. The new site is: http://math.rice.edu/~joel/NonEuclid/

102. Euclid's Elements Euclid's elements This World Wide Web (WWW) site, for teachers, students and others interested in geometry, was created by David E. Joyce of Clark University to rekindle interest in Euclid's http://rdre1.inktomi.com/click?u=http://aleph0.clarku.edu/~djoyce/java/elements/

103. NonEuclid Interactive Constructions In Hyperbolic Geometry NonEuclid Interactive Constructions in Hyperbolic geometry Joel Castellanos, a graduate student at the University of New Mexico, in cooperation with a professor and another graduate student, is http://rdre1.inktomi.com/click?u=http://cs.unm.edu/~joel/NonEuclid/&y=029119

104. NonEuclid - Hyperbolic Geometry Article + Software Applet Software for Interactively Creating Ruler and Compass Constructions in both the Poincaré Disk and the Upper HalfPlane Models of Hyperbolic geometry for use http://math.rice.edu/~joel/NonEuclid/

NonEuclid NonEuclid is Java Software for Interactively Creating Ruler and Compass Constructions in both the for use in High School and Undergraduate Education. Hyperbolic Geometry is a geometry of Einstein's General Theory of Relativity and Curved Hyperspace. NonEuclid has moved. The new location is: http://cs.unm.edu/~joel/NonEuclid/

105. Geometry From The Land Of The Incas. Problems, Theorems, Proofs, Quizzes, With A Presents geometry problems, with proofs, animation and sound Poncelet, Napoleon, Eyeball, Steiner, Carnot, Sangaku, Morley, Langley and the Butterfly Theorem. http://agutie.homestead.com/files/

Presents geometry problems, with proofs, animation and sound: Poncelet, Napoleon, Eyeball, Steiner, Carnot, Sangaku, Morley, Langley and the Butterfly Theorem. Also, Inca Geometry (Cuzco, Machu Picchu, Incan Quipu, Nazca Lines, Lord of Sipan); quotes from Descartes, Galileo, Newton, Pappus, Plato, Poincare, Voltaire; and quizzes.

106. Géométries Non Euclidiennes Translate this page Géométries planes non euclidiennes. Les géométries non euclidiennes (GNE), outre leur attraits propres, ont cet avantage, en http://www-cabri.imag.fr/abracadabri/GeoNonE/GeoNonE.htm

Voir le dossier des GNE dans abraJava (juin 2000) Nouveau (mars 2001) "Les fondements" de D. Hilbert articulation des axiomes Construction du corps de base et Axiomatique des plans Version CabriJava Cercles Angles ... Exercices Klein - Beltrami Intro : les aspects Cercles et horocycles Angles Coniques ... abraCAdaBRI

107. Geometria Euclidea E Non Translate this page GEOMETRIA EUCLIDEA E NON. Abbiamo detto che Euclide fu il primo a costruire un sistema assiomatico (vedi logica) coerente per la http://utenti.lycos.it/mate_fisica/matematica/geometria/geo_euc_no.htm

GEOMETRIA EUCLIDEA E NON Abbiamo detto che Euclide fu il primo a costruire un sistema assiomatico (vedi logica ) coerente per la geometria, un po' come avrebbe fatto Peano molto tempo dopo per l' aritmetica , tralasciamo qui tutti gli assiomi di Euclide tranne l'ultimo, che sicuramente fu il più importante e il più contestato. Tutti gli altri assiomi enunciavano cose intuitive, che erano chiaramente vere senza ombra di dubbio, per esempio è chiaro che per due punti passa una e una sola retta, il quinto e ultimo assioma invece era molto più elaborato: in termini moderni esso suonerebbe così considerato un punto P esterno a una retta data r, esiste una e una sola retta s tale che r//s (r//s significa r parallela a s), si vede subito che non è intuitivo come gli altri assiomi , anche se a pensarci bene troviamo che esso è in accordo con il nostro intuito. Ricordo che tutta la geometria di Euclide , da un certo punto in poi, fa un uso sistematico di questo assioma , quindi se esso fosse confutato tutta questa geometria cadrebbe, per esempio la dimostrazione che la somma degli angoli interni di un triangolo è un angolo piatto fa uso di questo assioma , quindi se esso fosse sbagliato non ci sarebbe più alcuna garanzia dell'esattezza di questo teorema. Il quinto

108. Euclid's Elements, Book II, Definitions Select topic. http://aleph0.clarku.edu/~djoyce/java/elements/bookII/defII.html

Definitions Def. 1. Any rectangular parallelogram is said to be contained by the two straight lines containing the right angle. Def. 2. And in any parallelogrammic area let any one whatever of the parallelograms about its diameter with the two complements be called a gnomon. Guide According to the first definition, the rectangle ABCD illustrated on the left is contained by the lines AB and BC, and this rectangle can be called the rectangle AB by BC. Of course, it could also be called the rectangle BC by CD, or two other names. On the right, in the parallelogram EFGH, there is a diameter EG with a parallelogram LNGO about it and the two complements KLOF and MHNL, and these three parallelograms together make up the gnomon. In other words a gnomon is an L-shaped figure made by removing a parallelogram from a larger similar parallelogram. (The "g" in "gnomon" is silent.) Euclid illustrated gnomons by arcs of circles around the inner vertex. In this example, the gnomon is called the gnomon PQR. First proposition: II.1

109. PHC | Distance Learning Welcome to Patrick Henry College Online. Take the next step with us! Thank you for your interest in Patrick Henry College Online. http://www.phc.edu/distancelearning/default.asp

About Student Life Support Library ... Visit PHC Welcome to Patrick Henry College Online Take the next step with us! Thank you for your interest in Patrick Henry College Online. These courses are designed to assist you in your academic preparation to influence the world For Christ and For Liberty These courses will provide the student with a classical liberal arts foundation rooted in a biblical world view. Moreover, the academic excellence and the quality of the faculty can be found at few other colleges. Courses Offered Rolling Enrollment Latin I Latin II Attic Greek I Spring 2004 Biology College Algebra and Trigonometry Constitutional Law Freedom's Foundations I ... Western Literature II Summer 2004 Freedom's Foundations I Research and Writing Principles of Biblical Reasoning Fall 2004 Constitutional Law Freedom's Foundations I History of the United States I History of the Western World I ... Logic Other courses may be added to future semesters. Future Course Offerings The PHC faculty have designed these courses as online versions of the courses taught on our campus. Patrick Henry College Online is for you if you are...

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