Eureka, Eureka! (I found it, I found it!). by Archimedes

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

Archimedes

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Mathematics reveals its secrets only to those who approach it wit... by Archimedes

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

pure-love mathematics secret

Man has always learned from the past. After all, you can't learn... by Archimedes

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

reverse men past

Give me a place to stand, and a lever long enough, and I will mov... by Archimedes

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

science long moving

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

produce impossible may

Give me but a firm spot on which to stand, and I shall move the e... by Archimedes

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

determination graduation moving

Rise above oneself and grasp the world. by Archimedes

Rise above oneself and grasp the world.

oneself rise-above world

There are things which seem incredible to most men who have not s... by Archimedes

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

incredibles math men

Eureka! Eureka! by Archimedes

Eureka! Eureka!

jumping running discovery

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

numbers believe thinking

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.

equilibrium distance weight

Eureka! (I have found it!). by Archimedes

Eureka! (I have found it!).

found discovery

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

triangles opposites two

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

joining opposites lying

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.

floating body weight

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.

broken discovery beautiful

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.

education math littles

Eureka! [I have found it!] On discovery of a method to test the p... by Archimedes

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

tests gold discovery

The perimeter of the earth is about 3,000,000 stadia and not grea... by Archimedes

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

perimeter greater earth

The centre of gravity of any cylinder is the point of bisection o... by Archimedes

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

cylinders axes gravity

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.

moon earth sun