Gourt > Science > Math > Geometry (38)
Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers. In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See areas of mathematics and algebraic geometry.)
Early geometry
The earliest recorded beginnings of geometry can be traced to ancient Egypt (see geometry in Egypt), the ancient Indus Valley (see Harappan Mathematics), and ancient Babylonia (see Babylonian mathematics) from around 3000 BC. Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts. Among these were some surprisingly sophisticated principles, and a modern mathematician might be hard put to derive some of them without the use of calculus. For example, both the Egyptians and the Babylonians were aware of versions of the Pythagorean theorem about 1500 years before Pythagoras; the Egyptians had a correct formula for the volume of a frustum of a square pyramid; the Babylonians had a trigonometry table. More on [ Geometry ]
Trigonometry :: Math
Geometric Algebra :: Algebra
Specific Numbers :: Recreations
@edible_beautyx_ oh shyt I 4 got bout dat......I might do lik half the geometry if its hard......nd I got chemistry
JonDaDon94 (Jonathan Gaby) Sun, 20 Dec 2009 18:21:25 -0000
@edible_beautyx_ oh shyt I 4 got bout dat......I might do lik half the geometry if its hard......nd I got chemistry
@JonDaDon94 Lolss - I'm Doinq The Enqlish . Prolly Gonna Take Like 20 Mins The Most . Not Even . Then We Got Geometry .
edible_beautyx_ (ashley mccallum) Sun, 20 Dec 2009 18:19:59 -0000
@JonDaDon94 Lolss - I'm Doinq The Enqlish . Prolly Gonna Take Like 20 Mins The Most . Not Even . Then We Got Geometry .
played FIFA 06: Road to FIFA World Cup (5ach, +950gs), Geometry Wars: Retro Evolved, and another game yesterday http://gamerdna.com/r/3OL3
ishmaelj1 (Justin Ishmael) Sun, 20 Dec 2009 18:12:20 -0000
played FIFA 06: Road to FIFA World Cup (5ach, +950gs), Geometry Wars: Retro Evolved, and another game yesterday http://gamerdna.com/r/3OL3
ok so i finished geometry next?
HeartBreakDolla (JaY BReAK wAlLS) Sun, 20 Dec 2009 18:10:12 -0000
ok so i finished geometry next?
Oh well, i have three weeks of doing NOTHING. Buahaha... uh oh. Realized the dad wants to watch dreaded GEOMETRY VIDEOS avec moi! *hides*
mayaah (Maya A. Hernandez) Sun, 20 Dec 2009 18:06:36 -0000
Oh well, i have three weeks of doing NOTHING. Buahaha... uh oh. Realized the dad wants to watch dreaded GEOMETRY VIDEOS avec moi! *hides*
@threefourteen Here's another book I like. http://www.amazon.com/Architectural-Geometry-Helmut-Pottmann/dp/193449304X
kcflatlander (Shawn Foster) Sun, 20 Dec 2009 18:01:11 -0000
@threefourteen Here's another book I like. http://www.amazon.com/Architectural-Geometry-Helmut-Pottmann/dp/193449304X
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A - Volunteer tutors help you work through your geometry problems for free.
Meta Description: [ About AllExperts: expert guidance from real people helping to answer your questions ]
A Gallery of Interactive On-Line Geometry - At the Geometry Center.
A New Way to Calculate a Triangle's Area - Using the length of the three sides. The proof is better understood than the old one.
Archimedes' Book of Lemmas - A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.
Area and volume formulas - Provides area and volume formulas of common geometrical figures
Meta Description: [ Area and volume formulas of common geometrical figures ]
Bette Veteto's Homepage - History of Mathematics, very strong on geometry.
Bob's Pages - A collection of interactive geometry applets. Topics include polyhedra, Poncelet's porism, Soddy's hexlet, Mandelbrot set, Steiner porism, Pappus's chain, Repulsion polyhedra and stereo pictures.
Conjectures Produced by the Program Graffiti - Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.
Cuboid and Cube Surface Distances - A java applet with substantial analysis related to distances on a rectangular box.
Encyclopedia of Triangle Centers - By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.
Erich's Packing Center - Graphics and links for various packing, tiling and covering problems.
Fundamentals of Geometry - Free online book on geometry in pdf format. Contains material not easily found elsewhere from detailed exposition of elementary absolute geometry based on Hilbert's axioms to more advanced topics.
Geometric Group Theory - Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.
Geometry Activities - By Ephraim Fithian.
Geometry and the Imagination in Minneapolis - Geometry exercises for a two-week summer workshop led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 1991.
Geometry Center - Web site for the (now closed) Center for the Computation and Visualization of Geometric Structures at the University of Minnesota. Graphics, multimedia, software, teaching resources.
Geometry Formulas and Facts - Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry.
Geometry from the Land of the Incas - Presents problems involving circles and triangles, with proofs, SAT practice quizzes and famous quotes. Also, has examples of geometry in Peruvian culture.
Meta Description: [ Geometry from the Land of the Incas, problems involving circles and triangles. On line Math tutoring Antonio Gutierrez. Inca City on Mars Nasa. Also Cuzco, Lost City of the Incas, Machu Picchu, Inca Trail, Incan Quipu, Nazca Lines, Lord of Sipan, Peru. Travel. ]
Geometry in Action - Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.
Geometry Page from Interactive Mathematics Miscellany - Includes articles on topics in elementary and not so elementary geometry, many with interactive Java illustrations and multiple proofs.
GLaD Comments - A new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples.
Math 3210 - Higher Geometry I - Course notes by Bill Cherowitzo.
Math Forum: Geometry POW/POM Search - Search the Geometry Problem of the Week's archive of creative, non-routine challenges, as well as submissions and commentary, dating back to 1993.
Math Forum: geometry-research - Discussion board for geometry professors and instructors to keep informed of the latest research.
Math Forum: Search geometry-forum - Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.
Mathematical Curves and Surfaces - Graphical representations of computer generated forms. (French/English).
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Mathematical Surfaces - A collection of parametric and implicit equations.
Morley's Miracle - A discussion of Morley's famous theorem and the research of which it was a tiny part. 5 proofs are given including J. Conway's, D. Newman's, and A. Connes'.
New Mathematical Findings by Secondary Students - High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.
NPR : Mathematicians Get Crafty with Geometry - A husband and wife from Cornell University have come up with a crafty way to illustrate high-level geometry concepts -- by manipulating yarn into models that help explain the curvature of spaces. The mathemeticians talk with NPR's Jacki Lyden about hyperbolic crocheting. [4:47 streaming audio broadcast]
Meta Description: [ A husband and wife from Cornell University have come up with a crafty way to illustrate high-level geometry concepts -- by manipulating yarn into models that help explain the curvature of spaces. The mathemeticians talk with NPR's Jacki Lyden about hyperbolic crocheting. ]
Packomania - Includes packings of equal objects in containers together with source codes to obtain them numerically.
Meta Description: [ Packing of equal objects in containers,52C17 ]
Paul Bourke's Geometry Page - Includes formulas, definitions and three dimensional image illustrations.
Problem of the Minimum Rotation Surface - Java applet demonstrating the catenary.
Steiner Surfaces - Mathematical descriptions and ray-traced images of various types of Steiner surfaces
The Complete Quadrilateral - Several properties of the complete quadrilateral illustrated with Java applets
The Entropy Reduction Laboratory by Karl-Dietrich Neubert - Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.
Meta Description: [ PSE: Double Shell Periodic System
of Elements; FlashSort: O(n) sorting by in situ permutation;
Platonic, Geodesic, Spheres; 3D Crystal Structures;
3D Molecular Structures; ]
The Geometry Junkyard - Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry.
The Kepler Conjecture - Information on the recent proof of Kepler conjecture on sphere packings.
The Lepidoptera of the Circles - The Butterfly theorem and its generalizations illustrated by Java applets.
Tim Lister's Hyperbolic Geometry - Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.
Meta Description: [ Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model. ]
Wilson Stothers' Inversive Geometry and CabriJava Pages - Includes Steiner's Porism and the arbelos.
Meta Description: [ a page on inversive geometry with CabriJava ]
Xah's Personal Page - Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages.
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