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Full Idea
In descriptive geometry the first 26 propositions of Euclid hold. In projective geometry the 1st, 7th, 16th and 17th require modification (as a straight line is not a closed series). Those after 26 depend on the postulate of parallels, so aren't assumed.
Gist of Idea
Modern geometries only accept various parts of the Euclid propositions
Source
comment on Euclid (Elements of Geometry [c.290 BCE]) by Bertrand Russell - The Principles of Mathematics §388
Book Ref
Russell,Bertrand: 'Principles of Mathematics' [Routledge 1992], p.404
Related Idea
Idea 14155 Two points have a line joining them (descriptive), a distance (metrical), and a whole line (projective) [Russell, by PG]