Metrical Geometry Is Thus A

But Be That As It May, I Think It Is More Respectful To You That I Should Speak To You Upon And Do My Best To Interest You In The Subject Which Has Occupied Me, And In Which I Am Myself Most Interested.

As For Everything Else, So For A Mathematical Theory: Beauty Can Be Perceived But Not Explained.

Projective Geometry Is All Geometry.

Not That The Propositions Of Geometry Are Only Approximately True, But That They Remain Absolutely True In Regard To That Euclidean Space Which Has Been So Long Regarded As Being The Physical Space Of Our Experience.

Euclid Avoids It [the Treatment Of The Infinite]; In Modern Mathematics It Is Systematically Introduced, For Only Then Is Generality Obtained.