The Diameter Of The Earth Is Greater

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

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

Two Magnitudes Whether Commensurable Or Incommensurable, Balance At Distances Reciprocally Proportional To The Magnitudes.

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

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.