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The parabola is a member of the family of conic sections. 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 define exactly the same curves.
While a parabolic arch may resemble a catenary arch, a parabola is a quadratic function while a catenary is the hyperbolic cosine, cosh(x), a sum of two exponential functions. One parabola is f(x) = x 2 + 3x − 1, and hyperbolic cosine is cosh(x) = e x + e −x / 2 . The curves are unrelated.
A parabola may also be defined in terms of its focus and latus rectum line (parallel to the directrix and passing through the focus): it is the locus of points whose distance to the focus plus or minus the distance to the line is equal to 2a; plus if the point is between the directrix and the latus rectum, minus otherwise.
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Geology: parabola-shaped lava flow illustrates Galileo's law of falling bodies, as well as blackbody radiation. The temperature can be discerned from the color of the blackbody . Meteorological phenomena
Image credits: Nature Photographer of the Year (NPOTY) 2024 #3 Category Mammals: Highly Commended, "Gone Fishing" By Hannes Lochner "A small-spotted genet visits a water pond for a sip and ...
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People have been found to perceive images with spiritual or religious themes or import, sometimes called iconoplasms or simulacra, in the shapes of natural phenomena. The images perceived, whether iconic or aniconic , may be the faces of religious notables or the manifestation of spiritual symbols in the natural, organic media or phenomena of ...