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  2. Parabolic arch - Wikipedia

    en.wikipedia.org/wiki/Parabolic_arch

    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.

  3. Parabola - Wikipedia

    en.wikipedia.org/wiki/Parabola

    The curve of the chains of a suspension bridge is always an intermediate curve between a parabola and a catenary, but in practice the curve is generally nearer to a parabola due to the weight of the load (i.e. the road) being much larger than the cables themselves, and in calculations the second-degree polynomial formula of a parabola is used.

  4. Projectile motion - Wikipedia

    en.wikipedia.org/wiki/Projectile_motion

    A ballistic trajectory is a parabola with homogeneous acceleration, such as in a space ship with constant acceleration in absence of other forces. On Earth the acceleration changes magnitude with altitude as g ( y ) = g 0 / ( 1 + y / R ) 2 {\textstyle g(y)=g_{0}/(1+y/R)^{2}} and direction (faraway targets) with latitude/longitude along the ...

  5. Orthogonal trajectory - Wikipedia

    en.wikipedia.org/wiki/Orthogonal_trajectory

    Concentric circles with orthogonal trajectories (1. example) Parabolas with orthogonal trajectories (2. example) In mathematics, an orthogonal trajectory is a curve which intersects any curve of a given pencil of (planar) curves orthogonally.

  6. List of hyperboloid structures - Wikipedia

    en.wikipedia.org/wiki/List_of_hyperboloid_structures

    Canton Tower, Guangzhou, China Kobe Port Tower, Kobe, Japan Cooling tower, Puertollano, Spain. This page is a list of hyperboloid structures.These were first applied in architecture by Russian engineer Vladimir Shukhov (1853–1939).

  7. Parabolic trajectory - Wikipedia

    en.wikipedia.org/wiki/Parabolic_trajectory

    The green path in this image is an example of a parabolic trajectory. A parabolic trajectory is depicted in the bottom-left quadrant of this diagram, where the gravitational potential well of the central mass shows potential energy, and the kinetic energy of the parabolic trajectory is shown in red. The height of the kinetic energy decreases ...

  8. Conic section - Wikipedia

    en.wikipedia.org/wiki/Conic_section

    A conic is the curve obtained as the intersection of a plane, called the cutting plane, with the surface of a double cone (a cone with two nappes).It is usually assumed that the cone is a right circular cone for the purpose of easy description, but this is not required; any double cone with some circular cross-section will suffice.

  9. Parable - Wikipedia

    en.wikipedia.org/wiki/Parable

    Examples of Jesus' parables include the Good Samaritan and the Prodigal Son. Mashalim from the Old Testament include the parable of the ewe-lamb (told by Nathan in 2 Samuel 12:1-9 [8]) and the parable of the woman of Tekoah (in 2 Samuel 14:1-13 [9]). Parables also appear in Islam. In Sufi tradition, parables are used for imparting lessons and ...