SHIP-BUILDING. 



Operation for the Plane of the Fourth Horizontal Water-Line. 



Area 



794 



Divide by the fum of the ordinates - 288 1 1 ) 5495 7| 



Centre of gravity . . . . - 



Diftance of the ordinate 37 from the aft-fide 1 



of the rudder - - - - - 3 



Centre of gravity from aft-fide of the rudder 



Diftance of the centre of gravity of the^ 

 feftion of the rudder and Itern-poft from > 

 the aft-fide of the rudder is - - - J 



19 

 6 



25 



9i 



3 5 



To find the centre of gravity of the plane between 26 

 and O, from 26, its firlt ordinate. 



Diftant 

 Ft. 111. from 26. 



20 2 



ProduiSs. 

 Ft. In. 



Half of 26 ordinate is 

 Whole of 22 



18 - - 



14 - - 



JO - - 



6 - . 



2 - - 



(I) - - 



B - - 



F - - 



K - - 



Half of O - - 



Sum 

 Multiply by 



43 

 44 

 45 

 46 

 46 

 46 

 46 

 46 

 46 



45 

 21 



3 Mult, by 1 = 



8^ 

 9l 

 8 



10 

 6 



I 



2 



3 

 4 

 5 

 6 



7 

 8 



9 

 10 

 II 



43 

 89 



137 

 186 



233 

 280 

 326 



373 

 420 

 458 

 236 



3 



5 



4^ 

 8 



4 

 o 

 8 



4 

 o 



4 

 6 



501 3 Sum 2784 loi 



II o dift. between ord. 11 o 



Area 



5513 9 



Divide by the fum of the ordinates - 501 3)30633 



Centre of gravity ----- 61 



Diftance of the ordinate 26 from the aft-fide \ 

 of the rudder - - - - - 3 



Centre of gravity from aft-fide of the rudder 



Ih 



37 



98 



Divide by the fum of the ordinates - 265 5 ) 2577 



4f 



Centre of gravity . - - - - 



Diftance of the ordinate O from the aft-fide \ 



of the rudder - - - - - 3 



9 



158 



H 



Centre of gravity from aft-fide of the rudder 167 



H 



Centre of gravity of the feAion of the ftem \ 

 and knee before Y is - - - - 3 



Diftance of the centre of gravity of the^ 

 feftion of the knee, before the aft-fide of > 

 the rudder, is - - - - -J 



184 I 



Areas of the feveral planes, and their momenta. 



Ft. In. 



Ft. 



Areaofthemid<hip-plane55l3 9 

 5513 9 Mult, by 98 1 1 its momentum = 54iao3 

 Area of the after-plane 794 G\ 

 794 6\ Mult, by 25 9^ its momentum = 20475 



Area of the fore-plane 729 io| 

 729 lof Mult, by 167 8| its momentum = 122409 10 

 Area of rudder and poll 10 i^ 

 10 1 5 Mult, by 3 5 its momentum =j: 34 



Area of the ftem and knee 4 o 

 4 o Mult, by 184 I its momentnm = 736 



Si 



1\ 



7052 3i Whole areas. Sum of momenta 684659 95 



Now 684659 ft. 9a in. divided by 7052 ft. 3^ in. gives 

 97 ft. I in., the diftance of the centre of gravity of the 

 whole feftion of the fourth horizontal water-line from the 

 aft-fide of the rudder. 



Operation 



