This will be a rather short narration, as the chapter is really short
Galileo is home with his family when he meets Ricci, who tells him that there are some people whose fathers would pay a lot to have Galileo teach them mathematics. Soon, Galileo applies for a professorship at a lot of schools, all rejecting him because he does not conform to believing everything Aristotle says without question (he calls them Aristotle Worshippers). His friend Rica, who is very rich but does not want to follow in the footsteps of his father, a politician. He wants adventure and invites Galileo to Persia, to see if he could get a job there. He sends in application to Pisa to teach there one last time, and it gets accepted. He is very sad, but also very happy.
Galileo says goodbye to Rica, and goes home to celebrate with his family, his father is getting very old. His family is very proud of him and he goes off to Pisa.