algebraic geometry 15 Projective space

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space
and describes the synthetic and analytic approaches to projective geometry

[caspermadlener]

The circle of the Fano plane shouldn't be outside the triangles, it is the line containing the three midpoints of the sides of the triangle.

[dannycrytser]

I think that at 10:27 you meant to write x_1 ≠ 0.