Give Me But A Firm Spot On

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.

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

The Centre Of Gravity Of Any Parallelogram Lies On The Straight Line Joining The Middle Points Of Opposite Sides.

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

Man Has Always Learned From The Past. After All, You Can't Learn History In Reverse!