Topic:Euclidean geometry

From Wikiversity

Euclid, the developer of Euclidean Geometry Welcome to the Euclidean Geometry Learning Project, part of the School of Mathematics. The purposes of this learning project are to facilitate the study and further understanding of Euclidean Geometry, and to assist students currently studying it in class. See below for more information about the learning project. From Wikipedia: Euclidean geometry is a mathematical well-known system attributed to the Greek mathematician Euclid of Alexandria. Euclid's text Elements was the first systematic discussion of geometry. It has been one of the most influential books in history, as much for its method as for its mathematical content. The method consists of assuming a small set of intuitively appealing axioms, and then proving many other propositions (theorems) from those axioms. Although many of Euclid's results had been stated by earlier Greek mathematicians, Euclid was the first to show how these propositions could be fitted together into a comprehensive deductive and logical system. More... We are looking for new members! If you're interested in joining, please put your name in the "Members" section and let MessedRocker know.

Contents 1 Scholars 2 Current tasks 3 Discussion 4 Lessons 5 Outside Sources

[edit] Scholars

In this learning project, all participants are scholars, whether they are beginners or experts. Everyone on the project will be working towards the common goals of learning from others, and teaching others.

• Messedrocker
• Freiberg

[edit] Current tasks

• Develop lessons with which to teach geometry
• Teach each other
• Improve the Geometry Wikibook
• Develop the Standard postulate and theorem naming proposal

[edit] Discussion

Discussion should, at the moment, take place at the talk page.

[edit] Lessons

And finally, to the (regrettably incomplete) textbook and lessons. During this course, we shall be using the Geometry Wikibook in conjunction with the tests and quizzes in the lessons.

Geometry Main Page

• Topic:Euclidean Geometry/Chapter 1 Definitions and Reasoning (Introduction)
• Topic:Euclidean Geometry/Chapter 2 Proofs
• Topic:Euclidean Geometry/Chapter 3 Logical Arguments
• Topic:Euclidean Geometry/Chapter 4 Congruence and Similarity
• Topic:Euclidean Geometry/Chapter 5 Triangle: Congruence and Similiarity
• Topic:Euclidean Geometry/Chapter 6 Triangle: Inequality Theorem
• Topic:Euclidean Geometry/Chapter 7 Parallel Lines, Quadrilaterals, and Circles
• Topic:Euclidean Geometry/Chapter 8 Perimeters, Areas, Volumes
• Topic:Euclidean Geometry/Chapter 9 Prisms, Pyramids, Spheres
• Topic:Euclidean Geometry/Chapter 10 Polygons
• Topic:Euclidean Geometry/Chapter 11 R, R², R³
• Topic:Euclidean Geometry/Chapter 12 Angles: Interior and Exterior
• Topic:Euclidean Geometry/Chapter 13 Angles: Complementary, Supplementary, Vertical
• Topic:Euclidean Geometry/Chapter 14 Pythagorean Theorem: Proof
• Topic:Euclidean Geometry/Chapter 15 Pythagorean Theorem: Distance and Triangles
• Topic:Euclidean Geometry/Chapter 16 Constructions
• Topic:Euclidean Geometry/Chapter 17 Coordinate Geometry
• Topic:Euclidean Geometry/Chapter 18 Trigonometry
• Topic:Euclidean Geometry/Chapter 19 Trigonometry: Solving Triangles
• Topic:Euclidean Geometry/Chapter 20 Special Right Triangles
• Topic:Euclidean Geometry/Chapter 21 Chords, Secants, Tangents, Inscribed Angles, Circumscribed Angles
• Topic:Euclidean Geometry/Chapter 22 Rigid Motion

[edit] Outside Sources

Math and the Art of MC Escher A course covering Euclidean as well as non-Euclidean geometry at Saint Louis University. Taught using an interdisciplinary approach using the art of the Dutch graphic artist M.C. Escher.