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Figure 4.3

It would be convenient to be able to express the area of the figure as a simple sum of the ordinates each multiplied by some factor to be determined. Assuming that A can be represented by:

A = (F + G + H)a0 - (F - H)a1h + (F + H)a2h2 - (F - H)a3h3 = 2a0oh + 2a2h3/3 These equations give:

This is Simpson's First Rule or 3 Ordinate Rule.

This rule can be generalized to any figure defined by an odd number of evenly spaced ordinates, by applying the First Rule to ordinates 0 to 2, 2 to 4, 4 to 6 and so on, and then summing the resulting answers. This provides the rule for n + 1 ordinates:

A = 3(yo + 4yi + 2y2 + 4y3 + 2y4 + 4y5 + ^ + 4yn-i + yn)

For many ship forms it is adequate to divide the length into ten equal parts using eleven ordinates. When the ends have significant curvature greater accuracy can be obtained by introducing intermediate ordinates

Figure 4.4

How To Have A Perfect Boating Experience

How To Have A Perfect Boating Experience

Lets start by identifying what exactly certain boats are. Sometimes the terminology can get lost on beginners, so well look at some of the most common boats and what theyre called. These boats are exactly what the name implies. They are meant to be used for fishing. Most fishing boats are powered by outboard motors, and many also have a trolling motor mounted on the bow. Bass boats can be made of aluminium or fibreglass.

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