See: Websites on Plane Curves, Printed References On Plane Curves.
Robert Yates: Curves and Their Properties.
Wikipedia: Conic section↗.
James A Sellers. A very detailed textbook style tutorial with plenty excercises. ★ (~20 pages) http://www.krellinst.org/uces/archive/resources/conics/newconics.html.
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.
Frederic Leymarie (leymarie @ lems.brown.edu). A bit mathematical background on the “Ellipse seen as a circle” property. http://www.lems.brown.edu/vision/people/leymarie/Notes/CurvSurf/Curves.html.
June Jones. Tutorial on conics. (includes a list of applications) http://jwilson.coe.uga.edu/emt669/Student.Folders/Jones.June/conics/conics.html.
Eduard Belinsky. Brief one page intro on hyperbola and ellipse. http://www.geocities.com/CapeCanaveral/Lab/3550/hyperbol.htm. http://www.geocities.com/CapeCanaveral/Lab/3550/ellipse.htm.
“Geometry and Billiards”, Serge Tabachnikov, ~2005. ★ Department of Mathematics, Penn State University. A published book on the subject. http://www.math.psu.edu/tabachni/Books/billiardsgeometry.pdf.
“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.
“Elliptical Billiard Tables” by Herman Serras, 2001-09, http://cage.rug.ac.be/~hs/billiards/billiards.html.
Wikipedia: projective geometry↗
Philip Spencer and Justin Moore. Explains projective geometry. ★ http://www.math.toronto.edu/mathnet/questionCorner/projective.html.
Michel Guillerault. Projective geometry with Cabri II software. ★ (In French.) http://www-cabri.imag.fr/abracadabri/Coniques/ConiquesGene.html.
Wilson Stothers. Conics through both synthetic and algebraic approach, with Cabri II supplements. ★ http://www.maths.gla.ac.uk/~wilson/cabripages/cabriou.html
Mathew Frank, on Pascal's theorem. (~4 pages) 1995 http://www.geom.umn.edu/apps/conics/. (2001/02)
“Monsieur Dandelin and his 3D proof of Pascal's Theorem” by Tzu-Pei Chen, 1997. A exposition of Dandelin's 3D proof of Pascal's Theorem. http://www.cs.ubc.ca/~tzupei/Math/index.html.
A translation of the paper “Sur l'hyperboloid de revolution” (1826) by G P Dandelin. Graduate level. The paper is in Acrobat format and a brief explanation can be found at http://www.math.ubc.ca/people/faculty/cass/cass.html.
MacTutor Famous Curve Index: Ellipse↗; Hyperbola↗; Parabola↗.
Mathematician: John H. Conway. A newsgroup message on the etymology of parabola, hyperbola, and ellipse. (Local link. Copied with permission). conicsEtynomogy.txt.
“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. http://clowder.net/hop/index.html Hop David on Dandelin Spheres: http://clowder.net/hop/Dandelin/Dandelin.html★
© 1995-2008 by Xah Lee.