The Centre Of Gravity Of Any Cylinder

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.

Those Who Claim To Discover Everything But Produce No Proofs Of The Same May Be Confuted As Having Actually Pretended To Discover The Impossible.

Mathematics Reveals Its Secrets Only To Those Who Approach It With Pure Love, For Its Own Beauty.

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.

Give Me But A Firm Spot On Which To Stand, And I Shall Move The Earth.