Eureka! (i Have Found It!).

The Perimeter Of The Earth Is About 3,000,000 Stadia And Not Greater.

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.

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.

The Centre Of Gravity Of Any Cylinder Is The Point Of Bisection Of The Axis.

Eureka! [i Have Found It!] On Discovery Of A Method To Test The Purity Of Gold.