The Centre Of Gravity Of Any Cylinder

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 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.

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 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.

How Many Theorems In Geometry Which Have Seemed At First Impracticable Are In Time Successfully Worked Out!