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Graphical representation of the dimensions used to describe a ship. Length between perpendiculars (often abbreviated as p/p, p.p., pp, LPP, LBP or Length BPP) is the length of a ship along the summer load line from the forward surface of the stem, or main bow perpendicular member, to the after surface of the sternpost, or main stern perpendicular member.
Two perpendicular lines have slopes m 1 = Δy 1 /Δx 1 and m 2 = Δy 2 /Δx 2 satisfying the relationship m 1 m 2 = −1. In the two-dimensional plane, right angles can be formed by two intersected lines if the product of their slopes equals −1.
Length between perpendiculars – The distance between where the forward part cuts the waterline and the rudder post of the ship. Length Overall (LOA) – The maximum length of the ship between the ship's extreme points; important for berthing purposes. Length at Waterline (LWL) – The ship's length measured at the waterline.
The distance from (x 0, y 0) to this line is measured along a vertical line segment of length |y 0 - (-c/b)| = |by 0 + c| / |b| in accordance with the formula. Similarly, for vertical lines (b = 0) the distance between the same point and the line is |ax 0 + c| / |a|, as measured along a horizontal line segment.
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Graphical representation of the dimensions used to describe a ship. Dimension "b" is the beam at waterline.. The beam of a ship is its width at its widest point. The maximum beam (B MAX) is the distance between planes passing through the outer sides of the ship, beam of the hull (B H) only includes permanently fixed parts of the hull, and beam at waterline (B WL) is the maximum width where the ...
In particular, any "displacement" or non-planing boat requires much greater power to accelerate beyond its hull speed, which is determined by the length of the waterline, and can be calculated using the formula: Vmax (in knots) = square root of LWL (in feet) x 1.34. The hull speed is the speed at which the wavelength of the bow wave stretches ...
Example of the use of descriptive geometry to find the shortest connector between two skew lines. The red, yellow and green highlights show distances which are the same for projections of point P. Given the X, Y and Z coordinates of P, R, S and U, projections 1 and 2 are drawn to scale on the X-Y and X-Z planes, respectively.