Geometry Links for Math 445

Affine Geometry

Math 445 syllabus page from W01

• http://www.math.washington.edu/~king/coursedir/m445w01/syl/class/

links from there to Affine ratio from parallel line page

• http://www.math.washington.edu/~king/coursedir/m445w01/syl/class/parallel-affine/affine-line-ratio.html

and Barycentric links

• Berkeley Math Circle
• Geometric Modeling at UC Davis

Dandelin Spheres

Dandelin Spheres in a cylinder

A student project from Brown

• http://www.stg.brown.edu/projects/projects.old/classes/ma8/Dandelin/Dand.html

This page has the figure for the intersection of a plane and cylinder and not just the cone

• http://s13a.math.aca.mmu.ac.uk/Geometry/Conics_and_Inversion/Conics/IntPlaneCylCone.html

Dandelin Spheres in a cone

Animation(!) and circular graph conics

• http://www.komal.hu/cikkek/dandelin/dandelin.e.shtml

From Mathworld --

• The figure at http://mathworld.wolfram.com/DandelinSpheres.html
• Dandelin bio at http://scienceworld.wolfram.com/biography/Dandelin.html

Java applet (requires Jave plugin) with explanation of proof

• http://www.lostlecture.host.sk/JDandelinEn.htm

This student site at UBC has graphics showing another proof by Dandelin, a proof of Pascal's theorem about hexagons inscribed in conics

• http://www.cs.ubc.ca/~tzupei/Math/#intro

Xah Lee's pages on Dandelin spheres

• http://xahlee.org/SpecialPlaneCurves_dir/ConicSections_dir/conicSections.html#Properties

James Tayor's slide show preview shows the Dandelin figure also

• http://www.dovepresent.com/pages/conics.html

Other Conic Section Pages

Xah Lee's general pages on conics

• http://xahlee.org/SpecialPlaneCurves_dir/ConicSections_dir/conicSections.html

Animated interference conics

• http://www.clowder.net/hop/Eccentric.html

General Geometry Sites

Cut-the-Knot

• http://www.cut-the-knot.org/index.shtml

Dave Wilson at the Centre for Mathematics Education at Manchester Metropolitan University, Institute of Education, Didsbury.

• The geometry page with many links is http://s13a.math.aca.mmu.ac.uk/Geometry/
• An article is about the experience of learning geometry: http://s13a.math.aca.mmu.ac.uk/Daves_Articles/PI/Contents.html