- § 405. Non-quantitative geometry has no metrical presuppositions
- § 406. Historical development of non-quantitative geometry
- § 407. Non-quantitative theory of distance
- § 408. In descriptive geometry
- § 409. And in projective geometry
- § 410. Geometrical theory of imaginary point-pairs
- § 411. New projective theory of distance

The Principles of Mathematics was written by Bertrand Russell, and published in in 1903. It is now available in the Public Domain.