I believe to have found a typo in Griffiths & Harris.

In the chapter on surfaces, section Rational Surfaces 1, I am trying to read the result that a holomorphic vector bundle over $\mathbb{P}^1_{\mathbb{C}}$ is a sum of invertible bundles.

What is the exact sequence that shows up at the start of his argument? Mine only has 2 terms and involves the fibres of E and H, which doesn't really make sense to me.

Any help would be appreciated.