Websites on Conic Sections

By Xah Lee. Date:

See: Websites on Plane Curves, Plane Curves Books .

Robert Yates: Curves and Their Properties .

Math Related Links

Analytic treatment of conics

Silvio Levy/CRC Reference, about 5 pages on conics. http://www.geom.umn.edu/docs/reference/CRC-formulas/node26.html

Alexander Bogomolny. A proof of ellipses being a conic section. http://www.cut-the-knot.com/proofs/conics.html

June Jones. Tutorial on conics. (includes a list of applications) http://jwilson.coe.uga.edu/emt669/Student.Folders/Jones.June/conics/conics.html

Optical Properties

“Geometry and Billiards”, Serge Tabachnikov, ~2005. ★ Department of Mathematics, Penn State University. A published book on the subject. Source www.math.psu.edu

“Billiards in the Round”, Ivars Peterson, 1997-03-03. One HTML page. Mathematical Association Of America's MathLand article. Discuss a billiard game played on a elliptical table, with illustrations. http://www.maa.org/mathland/mathland_3_3.html

Projective Geometry and other approach

Philip Spencer and Justin Moore. Explains projective geometry. ★ Source www.math.toronto.edu

Michel Guillerault. Projective geometry with Cabri II software. ★ (In French.) Source www-cabri.imag.fr

Wilson Stothers. Conics through both synthetic and algebraic approach, with Cabri II supplements. ★ http://www.maths.gla.ac.uk/~wilson/cabripages/cabriou.html

Pascal's Theorem

Mathew Frank, on Pascal's theorem. (~4 pages) 1995 Source www.geom.umn.edu (2001-02)

History Related Links

MacTutor Famous Curve Index: • EllipseHyperbolaParabola

Mathematician: John H. Conway. A newsgroup message on the etymology of parabola, hyperbola, and ellipse. (Local link. Copied with permission). conicsEtynomogy.txt .

Misc Links

Occurrence Of The Conics by By Jill Britton 2008-02. A page that give examples of conic sections in everyday life, with many illustrations. ★ http://britton.disted.camosun.bc.ca/jbconics.htm

Hollister David. Images of moiré; patterns of circles and lines simulating conics. Including a nice small animation that simulate conics with changing eccentricity. The site includes some other very nice mathematical arts. Source clowder.net Hop David on Dandelin Spheres ★: Source clowder.net