480 ME. E. J. EEED ON THE EELATION OF FOEM AND DIMENSIONS TQ 
Also we have 
Therefore 
and 
I.H.P.= 143X -^ seC, = 2 - 4 ^ X /f 3 -=230-3y. 
t>16*5 516*5 
Nominal H.P. =| I.H.P. = 32*95', 
Weight of engines and coals= 65*85'. 
Equating the two values of the displacement, as in the former case, we have 
10*065' 2 =135*215' + 109*865'+65*85'+700; 
and 
... io*065' 2 -310*875'=700 
6'= 33. 
From this value of 5', substituted in former expressions, we get the following dimen- 
sions and particulars of the new ship of the 4 Bellerophon ’ type with thick armour, viz.— 
Length between the perpendiculars = 380*8 feet. 
Breadth extreme =71*16 „ 
Displacement =10958 tons. 
Indicated horse-power =7599 H.P. 
Nominal horse-power =1085^ ,, 
Weight of hull =4462 tons. 
Weight of armour and backing =3625 „ 
Weight of engines and coals =2171 „ 
The foregoing investigation requires a correction which can with advantage be made 
now. It will be observed that the length of the new ship of the ‘ Bellerophon ’ type is 
less than that of the present 4 Minotaur,’ and her displacement is not much greater than 
the actual displacement of the present 4 Minotaur ’ when on sea service. The strength 
of the present 4 Bellerophon,’ which is greater than that of the present 4 Minotaur,’ will 
therefore suffice for the new ship of the 4 Bellerophon ’ type. But the present strength, 
and therefore weight of hull, would not suffice for a ship of the dimensions and propor- 
tions of the new 4 Minotaur,’ which is to be nearly 500 feet long, of more than 14000 
tons displacement, and heavily armour-plated upon long fine lines. Consequently the 
strength and weight of hull of the new ship of the 4 Minotaur ’ type must obviously 
undergo a considerable increase, which it would be unsafe to make less than 10 per cent, 
upon the present weight of hull. 
Making this correction, (1) will become 
Weight of hull =1*1x188*75 5 
=207*6255, 
and the equation (A) being modified accordingly leads to the quadratic 
13*25 2 — 422*375=1000, 
whence 
*5=34*21, 
