Give Me A Place To Stand, And

There Are Things Which Seem Incredible To Most Men Who Have Not Studied Mathematics.

It Follows At Once From The Last Proposition That The Centre Of Gravity Of Any Triangle Is At The Intersection Of The Lines Drawn From Any Two Angles To The Middle Points Of The Opposite Sides Respectively.

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.

Give Me A Place To Stand, And A Lever Long Enough, And I Will Move The World.

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