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  2. Minimum railway curve radius - Wikipedia

    en.wikipedia.org/wiki/Minimum_railway_curve_radius

    Too tight a 'crest' curve could result in the train leaving the track as it drops away beneath it; too tight a 'trough' and the train will plough downwards into the rails and damage them. More precisely, the support force R exerted by the track on a train as a function of the curve radius r , the train mass m , and the speed v , is given by

  3. Geometric design of roads - Wikipedia

    en.wikipedia.org/wiki/Geometric_design_of_roads

    Crest vertical curves are those that have a tangent slope at the end of the curve that is lower than that of the beginning of the curve. When driving on a crest curve, the road appears as a hill, with the vehicle first going uphill before reaching the top of the curve and continuing downhill. The profile also affects road drainage.

  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. Interstate Highway standards - Wikipedia

    en.wikipedia.org/wiki/Interstate_Highway_standards

    Minimum lane width: The minimum lane width is 12 feet (3.7 m), identical to most US and state highways. Shoulder width: The minimum width of the left paved shoulder is 4 feet (1.2 m), and of the right paved shoulder 10 feet (3.0 m). With three or more lanes in each direction, both shoulders are to be at least 10 feet (3.0 m) wide.

  6. Ministry of Transportation (Ontario) - Wikipedia

    en.wikipedia.org/wiki/Ministry_of_Transportation...

    The MTO is in charge of various aspects of transportation in Ontario, including the establishment and maintenance of the provincial highway system, the registration of vehicles and licensing of drivers, and the policing of provincial roads, enforced by the Ontario Provincial Police and the ministry's in-house enforcement program (Commercial vehicle enforcement).

  7. Constant-mean-curvature surface - Wikipedia

    en.wikipedia.org/wiki/Constant-mean-curvature...

    In differential geometry, constant-mean-curvature (CMC) surfaces are surfaces with constant mean curvature. [1] [2] This includes minimal surfaces as a subset, but typically they are treated as special case. Note that these surfaces are generally different from constant Gaussian curvature surfaces, with the important exception of the sphere.

  8. History of geodesy - Wikipedia

    en.wikipedia.org/wiki/History_of_geodesy

    From the top of the mountain, he sighted the dip angle which, along with the mountain's height (which he calculated beforehand), he applied to the law of sines formula to calculate the curvature of the Earth. [65] [67] [66] While this was an ingenious new method, Al-Biruni was not aware of atmospheric refraction. To get the true dip angle the ...

  9. Vehicle registration plates of Ontario - Wikipedia

    en.wikipedia.org/wiki/Vehicle_registration...

    The Canadian province of Ontario first required its residents to register their motor vehicles in 1903. Registrants provided their own licence plates for display until 1911, when the province began to issue plates. [1]