Linked from

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

• 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.

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

• 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.

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

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

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

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

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

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

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

• 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.

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