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Archimedes -
Triangle
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First then I will set out the very first theorem which became known to me by means of mechanics, namely that
Any segment of a section of a right angled cone (i. e., a parabola) is four-thirds of the triangle which has the same base and equal height,
and after this I will give each of the other theorems investigated by the same method. Then at the end of the book I will give the geometrical [proofs of the propositions]...
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It follows at once from the last proposition that the centre of gravity of any triangle is at the intersection of the lines drawn from any two angles to the middle points of the opposite sides respectively.
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In any triangle the centre of gravity lies on the straight line joining any angle to the middle point of the opposite side.
Archimedes
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Education in our times must try to find whatever there is in students that might yearn for completion, and to reconstruct the learning that would enable them autonomously to seek that completion.
Allan Bloom
Archimedes
Creative Commons
Born:
287 BC
Died:
212 BC
(aged 75)
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