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  2. Minimum railway curve radius - Wikipedia

    en.wikipedia.org/wiki/Minimum_railway_curve_radius

    The minimum railway curve radius is the shortest allowable design radius for the centerline of railway tracks under a particular set of conditions. It has an important bearing on construction costs and operating costs and, in combination with superelevation (difference in elevation of the two rails) in the case of train tracks , determines the ...

  3. Track transition curve - Wikipedia

    en.wikipedia.org/wiki/Track_transition_curve

    The actual equation given in Rankine is that of a cubic curve, which is a polynomial curve of degree 3, at the time also known as a cubic parabola. In the UK, only from 1845, when legislation and land costs began to constrain the laying out of rail routes and tighter curves were necessary, were the principles beginning to be applied in practice.

  4. Degree of curvature - Wikipedia

    en.wikipedia.org/wiki/Degree_of_curvature

    Where degree of curvature is based on 100 units of arc length, the conversion between degree of curvature and radius is Dr = 18000/π ≈ 5729.57795, where D is degree and r is radius. Since rail routes have very large radii, they are laid out in chords, as the difference to the arc is inconsequential; this made work easier before electronic ...

  5. Method of exhaustion - Wikipedia

    en.wikipedia.org/wiki/Method_of_exhaustion

    The quotients formed by the area of these polygons divided by the square of the circle radius can be made arbitrarily close to π as the number of polygon sides becomes large, proving that the area inside the circle of radius r is πr 2, π being defined as the ratio of the circumference to the diameter (C/d).

  6. Sen. Lindsey Graham (R-S.C.) ripped the media coverage of the attack on New Year’s Eve revelers in New Orleans early Wednesday morning, arguing the alleged crime should be treated as an act of war.

  7. PayPal fixes outage that affected thousands worldwide - AOL

    www.aol.com/news/paypal-outage-affects-thousands...

    The company experienced a system issue that affected multiple products including account withdrawals, peer-to-peer payment service Venmo, online checkout and crypto. PayPal said the issue, which ...

  8. Radius of curvature - Wikipedia

    en.wikipedia.org/wiki/Radius_of_curvature

    In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof. [1] [2] [3]

  9. Juan Soto contract details: How much are the Mets paying ...

    www.aol.com/juan-soto-contract-details-much...

    Juan Soto watches his solo home run in Game 2 of the 2024 World Series at Dodger Stadium. He hit .327 this past postseason for the Yankees with four homers, nine RBI and a 1.102 OPS in 14 games.