Any Solid Lighter Than A Fluid Will,

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.

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 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.

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.

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