Linked from

The 44 pages that link to Conic section, each with the reason it gives.

• CircleNarrower topic: A circle is the conic produced by a plane perpendicular to the cone’s axis.

• Projective geometryRelated: Conics were central objects in the subject's early development.

• Orbital eccentricityRelated: Orbital eccentricity distinguishes the shapes available to an ideal gravitational trajectory.

• Coordinate geometryBroader topic: Quadratic equations in coordinates describe these fundamental plane curves.

• Quadratic equationNarrower topic: Quadratic equations in two variables describe conic sections, extending the one-variable case.

• Quadratic formBroader topic: Equations of conics are built from quadratic terms in two variables.

• Two-body problemRelated: These are the possible shapes of Newtonian inverse-square orbits.

• Analytic geometryBroader topic: Quadratic equations classify these central coordinate-plane curves.

• EllipseNarrower topic: The conic family includes ellipses alongside circles, parabolas, and hyperbolas.

• Philosophiæ Naturalis Principia MathematicaRelated: These curves describe the possible paths of bodies under inverse-square gravity.

• Omar KhayyamRelated: Intersections of conic sections supplied geometric solutions for cubic equations.

• Greek mathematicsBroader topic: Greek geometers treated these curves as objects of systematic theorem and construction.

• ParabolaNarrower topic: A parabola is one of the four principal conic sections.

• Apollonius of PergaNarrower topic: Conic sections are the subject that Conics classified and analyzed.

• Pascal's theoremNarrower topic: Pascal's theorem applies to points on any nondegenerate conic.

• Polar coordinate systemRelated: Conics with a focus at the origin have compact polar equations.

• Hyperbolic trajectoryNarrower topic: Ideal two-body orbital paths are conic sections, classified by eccentricity.

• Specific orbital energyRelated: These are the possible ideal orbit shapes associated with different energy signs.

• Completing the squareNarrower topic: Completing squares in conic equations helps identify and classify their standard forms.

• Doubling the cubeRelated: Intersections of conics provide non-classical exact constructions for the required proportion.

• Focus (geometry)Narrower topic: Foci are defining features of several familiar conic sections.

• Jakob SteinerRelated: Conics were central objects in the projective geometry Steiner developed.

• HyperbolaNarrower topic: A hyperbola is one of the four principal conic sections.

• Brianchon's theoremNarrower topic: The theorem applies to hexagons whose six sides are tangent to one such curve.

• Jean-Victor PonceletNarrower topic: Conics provide the figures for several theorems associated with Poncelet.

• Pappus of AlexandriaRelated: Pappus discusses conic geometry within the Greek mathematical work he transmits.

• True anomalyNarrower topic: Ideal two-body trajectories follow conic sections with the primary at a focus.

• ConeNarrower topic: The cone’s surface produces the family of curves named for this construction.

• Girard DesarguesNarrower topic: His projective methods unified the study of these curves.

• MenaechmusNarrower topic: Menaechmus’s key discovery was that these curves could solve cubic construction problems.

• Kepler orbitNarrower topic: Every Kepler orbit belongs to one of these conic families.

• Kepler's first lawNarrower topic: Ellipses are one of the orbital shapes within this broader family.

• Ritchey–Chrétien telescopeNarrower topic: Its mirror profiles are specified by conic sections, especially the hyperbola.

• Anthemius of TrallesRelated: Anthemius wrote mathematical work on conic sections.

• Ibn SahlRelated: Conic geometry supplied shapes for mirrors and lenses that focus light.

• Poncelet–Steiner theoremNarrower topic: The given circle is a special conic whose center supplies additional structure.

• Apollonius's theoremRelated: Apollonius is especially associated with conics, the work that made his name enduring.

• Butterfly theoremRelated: Replacing the circle with another conic raises questions about which midpoint relations survive.

• Harnack's curve theoremBroader topic: A nonsingular real conic has one real component, matching the degree-two bound.

• LemniscateCompared with: Unlike conic sections, the lemniscate requires a degree-four equation.

• Newton's theorem of revolving orbitsRelated: Many classical central-force orbits are conic sections whose shape the theorem preserves.

• PandrosionNarrower topic: Intersections of conics provide classical solutions to the cube-duplication problem.

• Poncelet's closure theoremNarrower topic: The theorem concerns pairs of conics and the polygons formed between them.

• Steiner conicNarrower topic: The locus generated by the paired rays is a conic.