How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
Greek mathematician and physicist (c. 287 – c. 212 BC)
He derived the volume of a sphere, approximated pi, and laid groundwork for calculus — two millennia before Newton. His tomb bore the shapes he loved most: a sphere inside a cylinder.
Archimedes lived in Syracuse, Sicily, around 287–212 BC, and turned geometry into a weapon of precision. He applied infinitesimals and the method of exhaustion to prove theorems on areas and volumes — circle, sphere, ellipse, parabola, paraboloid, hyperboloid, spiral — and devised a system for expressing numbers too large for Greek notation. He was among the first to press mathematics into the physical world: the law of the lever, the principle of buoyancy, the concept of center of gravity. He built a screw pump, compound pulleys, war machines to defend his city, and possibly a planetarium pre…
Sourced, dated quotes from Archimedes
How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.
Equal weights at equal distances are in equilibrium and equal weights at unequal distances are not in equilibrium but incline towards the weight which is at the greater distance.
If two equal weights have not the same centre of gravity, the centre of gravity of both taken together is at the middle point of the line joining their centres of gravity.
Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.
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