Page:Carroll - Euclid and His Modern Rivals.djvu/233



§ 2..

Nie. I lay before you 'Elementary Geometry, following the Syllabus prepared by the Geometrical Association,' by J. M., M.A., 1878.'

Min. In what respects is this book a 'Rival' of Euclid?

Nie. Well, it separates Problems from Theorems

Min. Already discussed (see p. 18).

Nie. It adopts Playfair's Axiom

Min. Discussed (see p. 40).

Nie. It abandons diagonals in Book II

Min. Discussed (see p. 50).

Nie. And it adopts a new sequence and numeration.

Min. That, of course, prevents us from taking it as merely a new edition of Euclid. It will need very strong evidence indeed to justify its claim to set aside the