“In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side.”
Book 1, Proposition 13.
On the Equilibrium of Planes
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Archimedes 20
Greek mathematician, physicist, engineer, inventor, and ast… -287–-212 BCRelated quotes

“The centre of gravity of any cylinder is the point of bisection of the axis.”
Proposition presumed from previous work.
The Method of Mechanical Theorems

p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)

this implies the use of similar triangles in the way that the Egyptians had used them in the construction of pyramids
Achimedes (1920)

“The centre of gravity of a parallelogram is the point of intersection of its diagonals.”
Book 1, Proposition 10.
On the Equilibrium of Planes