Archimedes Quotes

• Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty.

  Archimedes

  Secret, Mathematics, Pure Love

  316 Copy quote

• Give me a place to stand, and a lever long enough, and I will move the world.

  Archimedes

  Moving, Science, Long

  170 Copy quote

• Man has always learned from the past. After all, you can't learn history in reverse!

  Archimedes

  Past, Men, Reverse

  174 Copy quote

• Rise above oneself and grasp the world.

  Archimedes

  World, Rise Above, Oneself

  130 Copy quote

• Those who claim to discover everything but produce no proofs of the same may be confuted as having actually pretended to discover the impossible.

  Archimedes

  May, Impossible, Produce

  Archimedes (2007). “The Works of Archimedes”, p.151, Cosimo, Inc.

  142 Copy quote

• Give me but a firm spot on which to stand, and I shall move the earth.

  Archimedes

  Graduation, Determination, Moving

  Quoted in Pappus, Synagoge

  163 Copy quote

• There are things which seem incredible to most men who have not studied Mathematics.

  Archimedes

  Math, Men, Incredibles

  124 Copy quote

• 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.

  Archimedes

  Running, Jumping, Discovery

  122 Copy quote

• Many people believe that the grains of sand are infinite in multitude ... Others think that although their number is not without limit, no number can ever be named which will be greater than the number of grains of sand. But I shall try to prove to you that among the numbers which I have named there are those which exceed the number of grains in a heap of sand the size not only of the earth, but even of the universe

  Archimedes

  Believe, Thinking, Numbers

  97 Copy quote

• 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.

  Archimedes

  Distance, Weight, Equilibrium

  Archimedes (2007). “The Works of Archimedes”, p.189, Cosimo, Inc.

  79 Copy quote

• Eureka! (I have found it!).

  Archimedes

  Discovery, Found

  "An Introduction to Mathematics". Book by Alfred North Whitehead (pp. 38-40), 1911.

  75 Copy quote

• The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides.

  Archimedes

  Lying, Opposites, Joining

  Archimedes, Sir Thomas Little Heath (2002). “The Works of Archimedes”, p.194, Courier Corporation

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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.

  Archimedes

  Opposites, Two, Triangles

  Archimedes (2007). “The Works of Archimedes”, p.201, Cosimo, Inc.

  66 Copy quote

• 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.

  Archimedes

  Moon, Earth, Sun

  Archimedes (2007). “The Works of Archimedes”, p.223, Cosimo, Inc.

  38 Copy quote

• 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.

  Archimedes

  Education, Math, Littles

  40 Copy quote

• How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!

  Archimedes

  Firsts, Geometry, Theorems

  Archimedes (2007). “The Works of Archimedes”, p.151, Cosimo, Inc.

  31 Copy quote

• The centre of gravity of any cylinder is the point of bisection of the axis.

  Archimedes

  Axes, Cylinders, Gravity

  Archimedes (1912). “The Method of Archimedes, recently discovered by Heiberg: a supplement to the Works of Archimedes, 1897”

  32 Copy quote

• Any solid lighter than a fluid will, if placed in the fluid, be so far immersed that the weight of the solid will be equal to the weight of the fluid displaced.
  On floating bodies I, prop 5.

  Archimedes

  Weight, Body, Floating

  Archimedes, Sir Thomas Little Heath (2002). “The Works of Archimedes”, p.257, Courier Corporation

  58 Copy quote

• The perimeter of the earth is about 3,000,000 stadia and not greater.

  Archimedes

  Earth, Perimeter, Greater

  Archimedes (2007). “The Works of Archimedes”, p.222, Cosimo, Inc.

  38 Copy quote

• Two magnitudes whether commensurable or incommensurable, balance at distances reciprocally proportional to the magnitudes.

  Archimedes

  Distance, Two, Balance

  "On the Equilibrium of Planes". Treatise by Archimedes, Book 1, Propositions 6 & 7, The Law of the Lever,

  37 Copy quote

• Eureka! [I have found it!] On discovery of a method to test the purity of gold.

  Archimedes

  Discovery, Gold, Tests

  39 Copy quote

• Spoken of the young Archimedes: . . . [he] was as much enchanted by the rudiments of algebra as he would have been if I had given him an engine worked by steam, with a methylated spirit lamp to heat the boiler; more enchanted, perhaps for the engine would have got broken, and, remaining always itself, would in any case have lost its charm, while the rudiments of algebra continued to grow and blossom in his mind with an unfailing luxuriance. Every day he made the discovery of something which seemed to him exquisitely beautiful; the new toy was inexhaustible in its potentialities.

  Archimedes

  Beautiful, Discovery, Broken

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• Having been the discoverer of many splendid things, he is said to have asked his friends and relations that, after his death, they should place on his tomb a cylinder enclosing a sphere, writing on it the proportion of the containing solid to that which is contained.

  Archimedes

  Writing, Science, Spheres

  29 Copy quote

• Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge.

  Archimedes

  Firsts, Easier, Investigation

  36 Copy quote

• Eureka, Eureka! (I found it, I found it!).

  Archimedes

  Found

  24 Copy quote

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