There Are Things Which Seem Incredible To

Give Me But A Firm Spot On Which To Stand, And I Shall Move The Earth.

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.

Spoken Of The Young Archimedes: . . . [he] Was As Much Enchanted By The Rudiments Of Algebra As He Would Have Been If I Had Given Him An Engine Worked By Steam, With A Methylated Spirit Lamp To Heat The Boiler; More Enchanted, Perhaps For The Engine Would Have Got Broken, And, Remaining Always Itself, Would In Any Case Have Lost Its Charm, While The Rudiments Of Algebra Continued To Grow And Blossom In His Mind With An Unfailing Luxuriance. Every Day He Made The Discovery Of Something Which Seemed To Him Exquisitely Beautiful; The New Toy Was Inexhaustible In Its Potentialities.

Those Who Claim To Discover Everything But Produce No Proofs Of The Same May Be Confuted As Having Actually Pretended To Discover The Impossible.

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