The Perimeter Of The Earth Is About

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

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.

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.

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

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.