Projective Geometry Is All Geometry.

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.

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

And In Another Point Of View, I Think It Is Right That The Address Of A President Should Be On His Own Subject, And That Different Subjects Should Be Thus Brought In Turn Before The Meetings.

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