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  2. Freeboard (nautical) - Wikipedia

    en.wikipedia.org/wiki/Freeboard_(nautical)

    In sailing and boating, a vessel's freeboard is the distance from the waterline to the upper deck level, measured at the lowest point of sheer where water can enter the boat or ship. [1] In commercial vessels, the latter criterion measured relative to the ship's load line , regardless of deck arrangements, is the mandated and regulated meaning.

  3. Signed area - Wikipedia

    en.wikipedia.org/wiki/Signed_area

    The blue area above the x-axis may be specified as positive area, while the yellow area below the x-axis is the negative area. The integral of a real function can be imagined as the signed area between the x {\displaystyle x} -axis and the curve y = f ( x ) {\displaystyle y=f(x)} over an interval [ a , b ].

  4. Area of a triangle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_triangle

    In geometry, calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is = /, where b is the length of the base of the triangle, and h is the height or altitude of the triangle. The term "base" denotes any side, and "height" denotes the length of a ...

  5. Open channel spillway - Wikipedia

    en.wikipedia.org/wiki/Open_channel_spillway

    Q mi = discharge capacity without freeboard (ft 3 /s) (In this case, freeboard is the vertical distance from the water surface to the dam crest when the water surface is at a lower elevation.) L = length of the spillway crest (ft) H = height of the sidewalls above the spillway crest (ft)

  6. Plotting algorithms for the Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Plotting_algorithms_for...

    This method will equally distribute colors to the same overall area, and, importantly, is independent of the maximum number of iterations chosen. [1] This algorithm has four passes. The first pass involves calculating the iteration counts associated with each pixel (but without any pixels being plotted).

  7. 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).

  8. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    Heron's formula is a special case of Brahmagupta's formula for the area of a cyclic quadrilateral. Heron's formula and Brahmagupta's formula are both special cases of Bretschneider's formula for the area of a quadrilateral. Heron's formula can be obtained from Brahmagupta's formula or Bretschneider's formula by setting one of the sides of the ...

  9. Surface area - Wikipedia

    en.wikipedia.org/wiki/Surface_area

    A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...