$6 Mr. Atwood's Propositions determining the Positions 
tical, may be now transferred to the position SL, which is in- 
clined to the vertical line KC at the angle KGS : moreover 
the line AB, which was before horizontal, is transferred so as 
to coincide with the line IN, being inclined to its former po- 
sition in the angle NXP, which is equal to KGS : and con- 
sequently the whole space A D H B, becomes transferred so as 
to coincide with the space IRMN, and the volume immersed 
under the fluid's surface is W RMN P. If in the line S L, 
« GE is taken equal to GO; it is evident that in consequence 
of the inclination, the point O, which is the centre of gravity 
of the space ADHB, will be transferred to the point E, which 
is the centre of gravity of the equal space IRMN; and the 
pressure of the fluid would act on the solid in the direction of 
a vertical line passing through the point E, if the space IRMN 
was the volume immersed under the fluid's surface ; but in 
consequence of the inclination of the solid through the angle 
KGS, the volume NXP, which was before above the fluid's 
surface, will now become immersed under it ; and the volume 
IWX, which was before under the surface, will become ele- 
vated above it. It is evident, that on both these accounts, 
that is, both by the addition of the volume NXP, and the 
abstraction of the volume IWX, the centre of gravity E of 
the space IRMN will be transferred towards those parts of the 
solid which have become more immersed under the fluid in 
consequence of the inclination. 
Suppose the centre of gravity of the volume immersed, 
WRMP, to be situated at the point Q: through Q draw 
is here inserted in preference to adapting the construction so as to express the altera- 
tion in the position of the axis, which would only have the effect of embarrassing the 
construction with useless lines. 
