[Trotoleterm]

I am translating an article about halal slaughtering but I am confused about something. Here is the text I can't understand:

There are basically three conditions for a valid slaughter according to the Shariah:

a) Most of the four veins (including the Jugular vein, according to some) must cut with a tool that is sharp and has a cutting edge; The Fuqaha differ as to which of the veins must be cut. According to Imam Shafi’i, both the wind pipe and the gullet must be slit in order for the animal to be lawful. According to our (Hanafi) school, three from the four must be cut. However, all the fuqaha agree that the place to slaughter is the throat and the upper part of the chest. What is it meant here by the word 'veins'?

Which are the 4 veins of the throat?

So will it be permissible to cut 3 of the 4 veins /without the wind pipe and the gullet/ according to the Hanafis?

In my understanding by 'veins' it is meant: the 2 Jugular veins, the wind pipe and the gullet. But the later two are not veins /blood vessels/...