Geometry Is The Art Of Correct Reasoning

It Is By Logic We Prove. It Is By Intuition We Discover.

For A Long Time The Objects That Mathematicians Dealt With Were Mostly Ill-defined; One Believed One Knew Them, But One Represented Them With The Senses And Imagination; But One Had But A Rough Picture And Not A Precise Idea On Which Reasoning Could Take Hold.

The Subliminal Self Is In No Way Inferior To The Conscious Self. It Knows How To Choose And To Divine.

Ideas Rose In Clouds; I Felt Them Collide Until Pairs Interlocked, So To Speak, Making A Stable Combination.

It Is The Harmony Of The Diverse Parts, Their Symmetry, Their Happy Balance; In A Word It Is All That Introduces Order, All That Gives Unity, That Permits Us To See Clearly And To Comprehend At Once Both The Ensemble And The Details.