412 Mr. Major oh [J u N i;, 



since they are both sustained by the same force of stability. 

 Let P represent one power, and p the other ; and let a and b be 

 respectively their distances of action from the centre of gravity 

 of displacement, or any other fixed point ; also let A be the angle 

 of inclination of the ship irom the upright, and put x for the 

 distance of the centre of gravity of the ship from 



this known point. We shall then have the fol- | -/p 



lowing equations of their forces, the radius 

 being always 1. 



V . a — X . cos. A = p b — X . cos. A 

 Ta — Vx = pb— px 



V a - pb 



X = 



From the above investigation, we obtain the following 



Rule. — Divide the difference of the moments of the two powers 

 from the fixed point, by the difference of the powers : the quo- 

 tient will be the distance of the centre of gravity of the ship 

 from the fixed point. 



The centre of gravity of the displacement had always better 

 be taken lor the fixed point, as it will make the signs in the 

 expression more clear. 



As I hum.bly hope some little advantage to naval science may 

 accrue from these remarks, I shall offer more for insertion on the 

 same work. They are in close connexion with the suggestion 

 for a Digest of the Navy, which you did me the favour to insert 

 in the Aniia/s, and the use of which, I conceive, 1 shall be able 

 to make yet more apparent. 



In the course of my observations, 1 have confined myself to 

 truth, as far as I know, which is sacred in science. If any of my 

 ideas clash with those of others, I am sorry for it ; but as prin- 

 ciples must be discussed, it is impossible to avoid it, and the 

 inconvenience must be borne with : I have subjected myself to 

 the same. Our country can only be maintained in its high poli- 

 tical station by tlie same means it has attained it, among which 

 tltat of general superiority in the arts and manufactures is most 

 prominent. — Shipbuilding ought not to remain without investi- 

 gation, and endeavours after improvement, being free from 

 restriction, like the other arts. 



The fourth article of the Papers on Naval Architecture is a 

 most excellent and comprehensive disquisition, for a short one, 

 on the stowage of ships ; and will be particularly noticed in some 

 future remarks. 



It has been stated, that we must not proceed far in our dis- 

 cussion on Naval Architecture, without having recourse to facts 

 and practical observations of ships : for this reason. Chapman's 

 celebrated Table of Ships of the Line will be gladly received, 

 which was before spoken of; it is the most valuable document 

 on shipbuilding. 



