Greenhill, G. (George), Sir, 1847-1927 · London and New York, Macmillan and Co. · leaf 207
f equi-librium is stable if OM > OG, or x sec^a > h;or x> h cos^a, s > cos^a. The equilibrium is neutral whentana=(s-*-lAx = h cos^a, h — x = h sin^a;and now oc(h — x) = x^ tan^a = y^, 196 EQUILIBRIUM OF THE CONE or the radius of the water line circle is the geometricmean of the… … Fig. 46. When a = ^x, then s = cos^a = \ ; so that a right-angled cone cannot float in water withits vertex downwards and axis permanently vertical,unless its s.G. s is greater than \. We infer, as in § 124, that the same conditions hold forthe equilibrium and stability of the cone, floating…
Hydrostatics
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