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How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
Archimedes
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Archimedes
Astronomer
Engineer
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Military Engineer
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Physicist
Archimedes of Syracuse
Time
Theorems
Successfully
Geometry
Seemed
Worked
Firsts
First
Many
Impracticable
More quotes by Archimedes
Eureka! Eureka! Supposed to have been his cry, jumping naked from his bath and running in the streets, excited by a discovery about water displacement to solve a problem about the purity of a gold crown.
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Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.
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The centre of gravity of any cylinder is the point of bisection of the axis.
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Eureka! [I have found it!] On discovery of a method to test the purity of gold.
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Give me but a firm spot on which to stand, and I shall move the earth.
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There are things which seem incredible to most men who have not studied Mathematics.
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Give me a place to stand, and a lever long enough, and I will move the world.
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Man has always learned from the past. After all, you can't learn history in reverse!
Archimedes
Eureka, Eureka! (I found it, I found it!).
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The perimeter of the earth is about 3,000,000 stadia and not greater.
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Rise above oneself and grasp the world.
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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.
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Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.
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The diameter of the earth is greater than the diameter of the moon and the diameter of the sun is greater than the diameter of the earth.
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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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I am persuaded that this method [for calculating the volume of a sphere] will be of no little service to mathematics. For I foresee that once it is understood and established, it will be used to discover other theorems which have not yet occurred to me, by other mathematicians, now living or yet unborn.
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Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.
Archimedes
