The Theorem Of Napoleon Please enable Java to see an interactive version of napoleon's theoremDrag any of the large red vertices of the inner triangle http://www.cinderella.de/junk/Napoleon.html
Extractions: Please enable Java to see an interactive version of Napoleon's theorem Drag any of the large red vertices of the inner triangle to see Napoleon's theorem in action! If you erect an equilateral triangle on each side of a triangle, then the centroids of these triangles form again an equilateral triangle, no matter which triangle you started with in the beginning.
Maths Thesaurus Nanometre, Napier's bones, Napier's constant, Napoleon point, napoleon's theorem.Napoleon's triangles, Napoleon's point, Natural log, Natural logarithm, Natural number. http://thesaurus.maths.org/dictionary/map/indices/N
Maths Thesaurus: Napoleon's Theorem Home napoleon's theorem If we take any triangle and draw equilateral triangleson each of its sides, then the incentres of these three new triangles form a http://thesaurus.maths.org/dictionary/map/word/2099
Napoleon's Theorem napoleon's theorem. He also was interested in mathematics. His discovery, Napoleon'sTheorem, is a very interesting tesselation. It is basically this. http://www.geocities.com/SiliconValley/Monitor/8186/napoleon.html
Extractions: NAPOLEON'S THEOREM Napoleon Bonaparte was a dictator and emperor of France during their height and power. He took over almost all of Europe and was a tactical leader. He also was interested in mathematics. His discovery, Napoleon's Theorem, is a very interesting tesselation. It is basically this. If you take any triangle ABC and draw equilateral triangles on the sides facing outwards then the incenters of the 3 equilateral triangles connected will form a equilateral triangle. Below is a diagram of this theorem. Later M.C. Escher discovered other things shown below and the theorem expanded to be a fairly complex tesselation. THE THEOREM MC ESCHER'S DISCOVERY to home page
Extractions: MATH AND ENGINES Welcome to my page. My name is Daniel Huck and I am in 8th grade. I am in a geometry class at Littleton High School. I have a RC airplane so that is why I wrote this page. This page is about different engine air-fuel ratios on carburetors and fuel-injection that are related to math and has some animated diagrams and graphs. There is also some flexagon information and links. Finally, there is a Napoleon's Theorem which is a diagram made by the French emperor. I hope you find this page interesting and informative. I tried to make it very easy to understand with a lot of illustrations. Below is the description of my page. Napoleon's Theorem is an interesting design that involves triangles and incenter. My section has a design of one and tells more about this design. Go to Napoleon's Theorem for this section. I compare carburetors and fuel injection on cars and other vehicles. I also look into the air-fuel ratios of the 2. Included is many visuals and an animated throttle. Go to Carbs vs. Injection
June Lester - Mathematical Presentations University of Victoria, Canada, August 1993. A generalization of Napoleon'stheorem to ngons. A generalization of napoleon's theorem to n-gons. http://www.cecm.sfu.ca/~jalester/WebCV/presentations.html
Extractions: June Lester - Mathematical Presentations Invited talks Conference talks Invited talks Conformal Spaces. Geometry Seminar, Department of Mathematics, University of Toronto, Canada, February 1979 Cone Preserving Mappings. Workshop in Geometry and Algebra, Technical University of Munich, W. Germany, February 1980 Characterizations of Lorentz Transformations. Geometry Colloquium, Mathematics Institute, University of Hannover, W. Germany, June 1980 Characterizations of Spacetime Transformations. Mathematics Colloquium. York University, Toronto, Canada, February 1983 Characterization Theorems on Metric Vector Spaces. Geometry Seminar, Department of Mathematics, University of Toronto, Canada, September 1985 Some Characterizations of Euclidean Motions. Mathematics Colloquium, University of Oldenburg, W. Germany, November 1985 Transformations Preserving Null Line Sections of a Domain. Mathematics Colloquium, University of Duisburg, W. Germany, November 1985 Mappings Preserving Null Line Sections of a Domain.
June Lester- Mathematical Publications 53 (1997) 4 35. A generalization of napoleon's theorem to n-gons. CR Math. Soc.Canada 16 (1994) 253 - 257. This work has spawned several other projects. http://www.cecm.sfu.ca/~jalester/WebCV/publications.html
Extractions: June Lester - Mathematical publications Matric vector spaces Geometric characterization problems Spacetime geometry Complex triangle and polygon geometry ... Misscellaneous topics (Note: some of the papers listed below appear in more than one section. There are 39 distinct papers.) Metric vector spaces A metric vector space is a vector space which has a (usually indefinite) scalar product. I first became fascinated with these spaces as a beginning master's student. Geometrically interesting in their own right (as Euclidean n-space or Minkowski spacetime, for example), they are also invaluable as coordinate spaces: it's quite extraordinary just how many classical geometries can be coordinatized by n-tuples subject to some indefinite scalar product. And looking at these geometries through their coordinate spaces often makes obvious the isomorphisms between different models of the same geometry, or even between different geometries: the same coordinate space implies the same or related geometries. On Null-Cone Preserving Mappings.
Volume 5 Abstracts P. Pech The Harmonic Analysis of Polygons and napoleon's theorem, 5 (2001) 013022Plane closed polygons are harmonically analysed, ie, they are expressed in http://www.heldermann.de/JGG/jggabs05.htm
Extractions: Hence, fundamentally, this is a special packing problem: some bricks having fixed volume must be put into a container of given volume. From the combinatorial point of view, similar container problems were investigated by D. Jennings. The first author has found a possible universal arrangement, and someone else has found an additional one which has proved to be different under the symmetries of the cube. In the paper we introduce an algorithm for finding all the different universal arrangements. As a result we obtain 21 possibilities (listed in Section 4) by the corresponding computer program. Our method seems to be suitable for solving the analogous problem in higher dimensions.
CRC Concise Encyclopedia Of Mathematics On CD-ROM: N Inequality; Napierian Logarithm; Napkin Ring; Napoleon Points; Napoleon'sProblem; napoleon's theorem; Napoleon Triangles; Nappe; Narcissistic http://mathworld.pdox.net/math/n/n.htm
Alvy - Infinite Hexagon Theorem 2/17/03 See paper for full details, such as how this theorem is a generalizationof napoleon's theorem. An even prettier theorem. Sorry, this http://alvyray.com/Geometry/HexagonTheorm.htm
Extractions: Every triangle has an infinite sequence of regular hexagons. Move any of the three red dots to change the gray triangle to any arbitrary triangle . This first theorem says there is an infinite sequence of regular hexagons intimately associated with each triangle, and centered on it (its centroid). Some of the hexagons you might think would be in the sequence aren't. Only those that are 2 n m times as large as the two smallest hexagons are in the sequence, for nonnegative integers n m . You can also move the green point along one edge of the triangle. This changes the parameterization of the hexagons. See paper for full details, such as how this theorem is a generalization of Napoleon's Theorem. An even prettier theorem. Sorry, this page requires a Java-compatible web browser. This page uses JavaSketchpad , a World-Wide-Web component of The Geometer's Sketchpad
STACHEL / Institut Fuer Geometrie Rend. Circ. Mat. Palermo, II. Ser., 70, 335351 (2002); napoleon's theoremand Generalizations Through Linear Maps. Beitr. Algebra Geom. http://www.geometrie.tuwien.ac.at/stachel/
Extractions: Hellmuth STACHEL Remarks on A. Hirsch's Paper concerning Villarceau Sections. J. Geometry Graphics Configuration Theorems on Bipartite Frameworks. Rend. Circ. Mat. Palermo, II. Ser., Napoleon's Theorem and Generalizations Through Linear Maps. Beitr. Algebra Geom. Preprint Remarks on Bricard's Flexible Octahedra of Type 3. Proc. 10th ICGG, Kiev (Ukraine), July 28 - Aug. 3, 2002: Vol. 1, 8-12 Ivory's Theorem in the Minkowski Plane. Math. Pannonica , 11-22 (2002) [Preprint Technical Report No. 85, Oct. 2001]
Geometria Translate this page Home. First Examples. Resp. Analysis. Exercises. JavaScript.napoleon's theorem. GeoScript-File GeoStyle-File. http://www.joensuu.fi/mathematics/DidMat/Ehmke/seminar-joensuu/napoleons_theorem
SOME SELECTED PUBLICATIONS The Mathematical Gazette, 79(485), 374378, July 1995. 14. A generalized dualof napoleon's theorem and some further extensions. Int. J. Math. Ed. Sci. http://mzone.mweb.co.za/residents/profmd/publications.htm
Extractions: Science Animals Biology Botany Bouw ... Resources Mathematics Algebra Arithmetric Complex numbers Formulas ... Fractals General overview Geometry Integrals and differentials Miscellaneous Statistics ... Trigonometry General overview Aplusmath this web site is developed to help students improve their math skills interactively, algebra, addition, subtraction, multiplication, division, fractions, geometry for kids Ask Dr. Math Ask Dr. Math a question using the Dr. Math Web form, or browse the archive Calculus tutorial Karl's calculus tutorial, limits, continuity, derivatives, applications of derivatives, exponentials and logarithms, trig functions (sine, cosine, etc.), methods of integration Cut the knot! algebra, geometry, arithmetic, proofs, butterfly theorem, chaos, conic sections, Cantor function, Ceva's theorem, Fermat point, cycloids, Collage Theorem, Carnot's theorem, bounded distance, barycentric coordinates, Pythagorean theorem, Napoleon's theorem, Ford's touching circles, Euclid's Fifth postulate, Non-Euclidean Geometry, Projective Geometry, Moebius Strip, Ptolemy's theorem, Sierpinski gasket, space filling curves, iterated function systems, Heron's formula, Euler's formula, Hausdorff distance, isoperimetric theorem, isoperimetric inequality, Shoemaker's Knife, Van Obel theorem, Apollonius problem, Pythagoras, arbelos, fractals, fractal dimension, chaos, Morley, Napoleon, barycentric, nine point circle, 9-point, 8-point, Miquel's point, shapes of constant width, curves of constant width, Kiepert's, Barbier's
CMB - Vol. 44, N3 Min Ho Lee and Hyo Chul Myung Hecke Operators on Jacobilike Forms, 282. AngelaMcKay An Analogue of napoleon's theorem in the Hyperbolic Plane, 292. http://journals.cms.math.ca/CMB/v44n3/index.en.html
Der Satz Des Napoleon Translate this page Lester, JA, A generalization of napoleon's theorem to n-gons, CR Math. Rep. Acad. 8(1981), 458459 Wetzel, JE, Converses of napoleon's theorem, Amer. Math. http://www.wv.inf.tu-dresden.de/~pascal/verein/ikm97/napoleon.html
Extractions: Search ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. ENC#: ENC-017728 Sample activities, which cover art, explorations, demonstrations, and constructions, are included. For example, the activity in art discusses vanishing points and gives step-by-step directions for drawing a box with two-point perspective. One investigation explores exterior angles in a polygon. The investigation starts with summing the exterior angles of a pentagon. Parts of the pentagon are moved to see if the sum changes. The students are expected to make a conjecture concerning the sum of the exterior angles of any polygon and investigate the conjecture by constructing and manipulating other polygons. Blackline masters and teaching notes are provided for these activities. (Author/JAR). Reviews and Awards: Satterfield, Melanie. (2001). Review of
Glossary Music (and transformations). N. Click on the letter to obtain informationon napoleon's theorem; Network; Why there is no Nobel Prize in Mathematics; http://westview.tdsb.on.ca/Mathematics/glossary.html
