Two Magnitudes Whether Commensurable Or Incommensurable, Balance

The Perimeter Of The Earth Is About 3,000,000 Stadia And Not Greater.

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.

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.

Eureka, Eureka! (i Found It, I Found It!).

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