set down vs place down

set down and place down both are verbs.

Word	Noun	Adjective	Verb	Adverb
set down	No	No	Yes	No
place down	No	No	Yes	No

As verbs, set down and place down are synonyms defined as:

set down and place down: cause to sit or seat or be in a settled position or place

Other synonyms of set down include put down.

set down (verb)	place down (verb)
put down in writing; of texts, musical compositions, etc.	cause to sit or seat or be in a settled position or place
remove (cargo, people, etc.) from and leave
put or settle into a position
cause to sit or seat or be in a settled position or place
go ashore
reach or come to rest