Hyperbola
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In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connect
A lampshade with a circular rim casts a hyperbola-shaped shadow on a vertical wall.
Hyperbolas as declination lines on a sundial
Parabola
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In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to def
Hyperbola
…The hyperbola is one of the three kinds of conic section, formed by the intersection of a plane and a double cone. (The other conic sections are the parabola and the ellipse, with the circle being a special type of ellipse.) If the plane intersects both halves of the double cone but does not pass through the…
Parabolic compass designed by Leonardo da Vinci
A bouncing ball captured with a stroboscopic flash at 25 images per second. The ball becomes significantly non-spherical after each bounce, especially after the first. That, along with spin and air resistance, causes the curve swept out to deviate slightly from the expected perfect parabola.
Parabolic trajectories of water in a fountain.
The supporting cables of suspension bridges follow a curve that is intermediate between a parabola and a catenary.