...axis is horizontal, the centre of gravity of the section made through its middle parallel to its base, be in the same vertical line with the centre of gravity of that part of the solid which falls below the plane of floatation : — The body will remain in equilibrio...

...'quilibrium of floatation is generally meant the position of a floating bodv, when its centre of gravity is in the same vertical line with the centre of gravity of the displaced fluid. When the lower surface of the floating body is spherical or cylindrical, the centre...

...homogeneous. .This force is in equilibrio with the weight, and the centre of the hollow must therefore lie in the same vertical line with the centre of gravity of the vessel. Both these points are situated in the plane of the keel, and a plane passed through them perpendicular...

...EQUILIBRIUM of Floating Bodies— (Playfair, Bland.) 1, V\Tien the centre of gravity of a floating body is in the same vertical line with the centre of gravity of the flnid displaced, the body remains in e0nilihrinm. 2. If in a floating body, of which the transverse...

...EQUILIBRIUM of Floating Bodies— ( Play fair, Bland.) 1. When the centre of gravity of a floating: body is in the same vertical line with the centre of gravity of the fluid displaced, the body remains in equilibrium. 2. If in a floating body, of which the transverse...

...surface in one point only, the preceding reasoning shews that this point of suspension or contact, as A, must be in the same vertical line with the centre of gravity of the body G. This suggests a method for practically finding the centre of gravity of a body in many cases....

...the square of the speed in knots. (As to Waves, see page xv.) 654. stability of Floating Bodies.— In Article 120 it has been shown, that in order that...angular displacement of the body from the position of equiliorium must cause a deviation of the centre of buoyancy, relatively to a vertical line traversing...

...weight of the air and water it displaces, and the centre of gravity of the air and water displaced must be in the same vertical line with the centre of gravity of the body. In a similar manner, if a body float in air alone, its weight must be equal to the weight of...

...centre of buoyancy of the body. It follows, therefore, that these two points, the centre of gravity and the centre of buoyancy, must be in the same vertical line for the body to be in a state of equilibrium ; for otherwise the two forces, one acting downward and...

...she must displace a weight of water equal to her own weight ; second, her centre of gravity must lie in the same vertical line with the centre of gravity of the volume of displacement, or " centre of buoyancy." In the opening chapter the truth of the first condition...