90 Mr. Atwood's Propositions determining the Positions 
responding to the specific gravity .25 = and o, correspond- 
ing to the specific gravity p. 
When the specific gravity is increased beyond (fig. 1 7, 
18.) the solid floats permanently with a diagonal line vertical, 
till the specific gravity becomes = p. 
If the specific gravity is of any magnitude between p and p 
the solid floats with the diagonal line inclined to the vertical at 
sundry angles depending on the specific gravity, (fig. 18, 19, 
20. ) the limits of which angles are o, corresponding to the spe- 
cific gravity and 18° 2 6' corresponding to the specific gra- 
vity three angles of the solid being immersed under the 
fluid's surface. 
If the specific gravity is between the limits p and .789, 
(fig. 20, 21, 22.) the solid floats with a flat surface upward, 
and inclined to the horizon at sundry angles depending on the 
specific gravity, the limits of which angles are 26° 34/ cor- 
responding to the specific gravity p or .75, and o correspond- 
ing to the specific gravity .789. 
When the specific gravity is of any magnitude between 
.789 and 1, the solid floats permanently with a flat surface 
parallel to the horizon. 
From these determinations we also collect that while the solid 
in question, floating on the fluid’s surface, revolves round its 
longer axis through 360°, it passes through either 16 or 8 po- 
sitions of equilibrium. If the specific gravity should be be- 
tween the limits .211 and .281, or between the limits .719 and 
