A dialogue between two philosophers I studied

This paper needs to be a  dialogue between two of the philosophers Descartes and Nietzsche.  The dialogue should depict the two philosophers discussing their key philosophical themes.  It should explain one or more philosophical topic(s) they addressed, their views on the topic(s), and any of the key themes that help explain those views.

For Descartes – Rationalism can be his topic
For Nietzsche – Existentialism can be his topic

The paper asks that they have a dialogue but I am less concerned about a full back and forth dialogue throughout the entire paper but they should address each other a little bit. Their topics do not need to clash or argue with each other since I dont even think the topics have opposing themes. This paper is just to demonstrate a basic understanding of the philosopher’s views on their topics.

This is all the professor has asked for so please feel free to take that broadness and run with it.