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The centre of gravity of any hemisphere [is on the straight line which] is its axis, and divides the said straight line in such a way that the portion of it adjacent to the surface of the hemisphere has to the remaining portion the ratio which 5 has to 3.
The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides.
In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side.
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Philip James Bailey
Letitia Elizabeth Landon