A history of Greek mathematics - Wilbourhall.org

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THE CATTLE-PROBLEM 97
(ii) if sQ 1 Q 2 :AM\ the solid will not rest
with its base touching the surface of the fluid in one point
only, but in a position with the base entirely out of the fluid
and the axis making with the surface an angle greater
than U
;
(iiia) if s = Q X Q AM 2 2 \
,
there is stable equilibrium with one
point of the base touching the surface and AM inclined to it
at an angle equal to U;
2
(iiib) if s = P l
P :
5
AM 2 , there is stable equilibrium with one
point of the base touching the surface and with AM inclined
to it at an angle equal to T
;
(iv) iis>P 1
P 2 :AM 2 but