Triangle Triangles are uniquely determined by specifying three sides (SSS theorem), two anglesand a side (AAS theorem), or two sides with an adjacent angle (SAS theorem http://mathworld.pdox.net/math/t/t285.htm
Extractions: A triangle is a 3-sided Polygon sometimes (but not very commonly) called the Trigon . All triangles are convex. An Acute Triangle is a triangle whose three angles are all Acute . A triangle with all sides equal is called Equilateral . A triangle with two sides equal is called Isosceles . A triangle having an Obtuse Angle is called an Obtuse Triangle . A triangle with a Right Angle is called Right . A triangle with all sides a different length is called Scalene Let stand for a triangle side and for an angle, and let a set of s and s be concatenated such that adjacent letters correspond to adjacent sides and angles in a triangle. Triangles are uniquely determined by specifying three sides ( SSS Theorem ), two angles and a side ( AAS Theorem ), or two sides with an adjacent angle ( SAS Theorem ). In each of these cases, the unknown three quantities (there are three sides and three angles total) can be uniquely determined. Other combinations of sides and angles do not uniquely determine a triangle: three angles specify a triangle only modulo a scale size ( AAA Theorem ), and one angle and two sides not containing it may specify one, two, or no triangles (
Introduction To Geometry: Course Schedule Assignment Read 5.6. Do Exercises 5.6 4,6,8. Fri. 10/12, Fagnano's theorem; Napoleon'stheorem; Fermat's Point. Assignment Read 5.7. Do Exercises 5.7 2,3,4. Mon. http://campus.northpark.edu/math/courses/Math_3010/schedule.html
Extractions: Introduction to Geometry: Course Schedule The assignments from each week are due on the Wednesday of the following week. It is preferred that each day's assignment be stapled and labeled separately. Date Content Mon. 8/27 Assignment: Read 2.3. Do Exercises Wed. 8/29 Assignment: Read 2.4. Do Exercises Fri. 8/31 Assignment: Read 2.5. Do Exercises Wed. 9/5 Assignment: Read 3.1. Do Exercises Fri. 9/7 Assignment: Read 3.3. Do Exercises Mon. 9/10 Assignment: Read 3.4. Do Exercises Wed. 9/12 Corollaries of the Exterior Angle Theorem Assignment: Read 3.5. Do Exercises
Site Map These pages contain several examples of a quincunx, and simple explanationsof these concepts. Central Limit theorem Applet R. Todd Ogden; Dept. http://www.mccallie.org/myates/5lessonplansonline.htm
Extractions: Lessons linked to specific occupations encourage students to see where applied courses can take them in the real, working world. Over a thousand years ago, artisans in the Islamic world began to develop a system for constructing intricate geometric art based on radially symmetric starlike figures. This site has an applet that lets you create your own, plus descriptions of the various patterns. Visual Geometry Pages are an online geometry book. It is a book illustrating problems from differential geometry and mathematical visualization using applets, images, animations, and Java software. For some really really terrific eye candy on the most complex shapes imaginable: i-Math Investigations are ready-to-use, online, interactive, multimedia math investigations. Complete i-Maths include student investigations, teacher notes, answers, and related professional development activities. (Not every i-Math is currently complete, but they are all ready to be used. To get an idea of what a complete i-Math looks like, see Shedding Light on the Subject: Function Models of Light Decay Interactive Tools for Mathematics Investigations
NRICH | December 1998 | 15+ Problems | Napoleon's Theorem (Dec 98) The Nrich Maths Project Cambridge, England. Mathematics resources for children, parents and teachers to enrich learning. Published on the 1st of each month. Problems, children's solutions, interactivities, games, articles, news http://nrich.maths.org/mathsf/journalf/dec98/just_mcprob5.html
Extractions: Bernard's Bag(P) - solutions(P) Penta Probs(P) - solutions(P) Let Me Try(P) - solutions(P) Kid's Mag(P) Play Games(P) Staff Room(P) 6 Problems - solutions 15+Challenges - solutions Articles Games LOGOland Editorial News Napoleon's Theorem (Dec 98) Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR? Click here for an interactive version of this problem. This week's interactive Java problem uses JavaSketchpad . Users may find that they need to update their browser. This applet works with or Microsoft Internet Explorer 4
Preprints 1998 Schwerkraftwirkung MSC 76B10. 9820 Martini, H.; Weißbach, B. Napoleon'sTheorem with Weights in n-Space MSC 51N10, 51N20. 98-19 http://www.math.uni-magdeburg.de/preprints/98.html
´X¦ó§@¹Ï¥Ø¿ý The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://140.114.32.3/summer99/18/page2.html
Www.math.temple.edu/~zeilberg/mamarim/mamarimTeX/Gtext Don't worry, none of the definitions are circular. Example Look up Napoleon'sTheorem. It involves two definitions ItIsEqui and CET. Look up ItIsEqui. http://www.math.temple.edu/~zeilberg/mamarim/mamarimTeX/Gtext
Circle Centres Using SketchPad Notes (1). All of these filenames in this page are LONG! Therefore,if you want to preserve these (Because Version 3.* of SketchPad http://www.mfdabbs.pwp.blueyonder.co.uk/Maths_Pages/SketchPad_Files/Triangles/In
Extractions: (1). All of these filenames in this page are LONG! - Therefore, if you want to preserve these (Because Version 3.* of SketchPad does not use long filenames) you must either RIGHT-CLICK on the file links within the above directories and then choose "Save Target As...". This allows you to save the file directly to a disk/drive or after using a LEFT-CLICK select the "Save this file to disk" Option Box rather than selecting the "Open this file from its current location". If you choose this last option then Geometer's SketchPad will automatically open - if you have it! - but then after viewing the file if you then try to save it you will not be able to use a long filename. Sketches D - Centroid Sketch.gsp
Geometries A Survey on Geometries. Euclidean Geometry, Spherical Geometry, Hyperbolic Geometry,Projective Geometry, Transformation, Symmetry. Instructor Dr. Z. Shen. http://www.math.iupui.edu/~zshen/teaching/m463spring2002/
