op oe ee 
z 
a8 
- 
+ 
y 
DERIVATION AND ANALYSIS OF METHODS. 285 
surface at the intermediate station. Now the augmented girth of the intermediate 
station may be obtained by multiplying the girth, as measured on the body plan, 
by the secant of this angle. (Fig. 2.) 
Fla. 2 
Referring to Fig. 2, the obliquity 6 on station 3, for instance, is found from: 
area A24 
ae as (gicth 3) 
where s is the longitudinal spacing of the stations. 
I do not think that this method of finding the obliquity is known or applied 
outside my classes in naval construction; it was suggested to me some years ago by 
Naval Constructor McEntee, when he was a student of the Massachusetts Insti- 
tute of Technology, and gives, I believe, as good an approximation as any other 
method. 
Navat Constructor ROBERTS (Communicated) :—With reference to Pro- 
fessor Hovgaard’s remarks, I yield, of course, to the point of further accuracy 
if one wishes to carry it to that degree of refinement, and am very glad he has seen 
fit to make the additions contained in his discussion. It is evident from my lan- 
guage that the analysis I offered was made particularly to fit only the usual cal- 
culations of the position of the center of gravity of the bottom plating, which permits 
of the utmost facility as well as what has usually been considered a sufficient degree 
of accuracy to all intents and purposes. 
‘THE PRESIDENT:—The next paper is entitled ‘‘Some Applications of the 
Principles of Naval Architecture to Aeronautics,” by Naval Constructor William 
McEntee. 
