projective line in a sentence

Examples

1. Fixing one such point as a midpoint actually defines an affine structure on the projective line containing that range.
2. First, one can replace the projective line by an " n "-dimensional projective space.
3. One of the Italian mathematicians was Giovanni Vailati who studied the circular order property of the real projective line.
4. The Riemann sphere is one example of a complex algebraic manifold, since it is the complex projective line.
5. The converse of this observation ( except for the projective line ) is the fundamental theorem of projective geometry.
6. I don't understand how the cross ratio answers when 4 points in projective line are projectivly equivalent.
7. Nevanlinna theory addresses the question of the distribution of values of a holomorphic curve in the complex projective line.
8. Many curves, for example hyperelliptic curves, may be presented abstractly, as ramified covers of the projective line.
9. Abstractly we can say that this is a projective line in the space of all conics, on which we take
10. A homography of a projective line may also be properly defined by insisting that the mapping preserves cross-ratios.