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possessing mass. The study of the surface of the centres of curvature 
of the surface xyz — constant leads to a great number of possible 
ways of floating, about which however we refer to the dissertation. 
Third case. 
as far as the floating edge is parallel to the level of the liquid, 
ase is solved in fig. B of the plate, 
sum up the equations of surfaces appearing in the cube as 
«>*. 
AF 
Surface OAEC 
EQNTRE 
(l + ^)3 -(1-^)3 ___{ 6 ^ (1 _ e) | 3 =0 
I® (!■—«) — 8 (1 — e)*j = 1 . 
5? rf — § (1—e) — 8 (1 — f) s 
3 A-A 8 2 
§ = (1-.6) 
’ = 8(1-6); 
where A and 
parameters. 
The position where the longest edge is parallel to the level of the 
liquid, appears in (as far as 6 > $) ; 
1. The cylindrical region, of which ENT is base, from which 
the re ? io n EQNTRE must however be excluded. 
2. The cylindrical region with AEQ as base, from which must 
excluded the part cut off from it by the surface MER. 
In the cube this position is indicated by (3/). The position, where 
| e edge being the mean in length, is parallel to the level of the 
(Uvr appears in the re S ion ^tween the surfaces OAECO and 
CO, from which we must separate the .part cut off from it by 
surface MEW belonging to MEC. 
r* the cube this position is indicated by (3a). 
stable floating with a shortest edge above the liquid proved 
^possible. F 
so ^li^ 6 ^ oPow * n 8 a parallelepipedon is supposed with square section, 
and (T W * len tPe ec ^ e of the square section is represented by 2a 
* e une< ! ua l edge by 21, the positions are perfectly determined by 
If § and 6. The third case, as far as no edges 21 , 
} the level plane and the square section is 
intersected 
a the leveh 
