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Text-book of theoretical naval architecture (1889)

Attwood, Edward L. (Edward Lewis), 1871- · London, New York [etc.] Longmans, Green, and Co. · leaf 19

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oddordinates. The sum thus obtained, multiplied by one-thiid thecommon distance apart of the ordinates, will give the area. Approximate Proof of Simpsons First Rule.—Thetruth of Simpsons first rule may be vmderstood by the followingapproximate proof: — Let DFC, Fig. 9, be a curved line on the base… … Now divide AB into three equalparts by the points G and H.Draw perpendiculars GJ andHK to the base AB. At Fdraw a tangent to the curve,meeting GJ and HK in J andK. Join DJ and KC. Now,it is evident that the area wewant is very nearly equal tothe area ADJKCB. Thiswill be found by adding to-gether…

Naval architecture

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