I'm studying phrasal verbs from a book called MacMillan Phrasal Verbs Plus, and I'm studying the "Down" particle. In a page of the book, there is a diagram showing the various meanings of the "Down" particle and there are 2 sentences showing those apparently different meanings, shown in the image below, however it seems to me that those sentences have the same meaning, don't they?
Do the two sentences have the same meaning?
Do the verbs "set" and "place" mean the same thing in those sentences?
Sentence 1: Placing something on a surface
Sentence 2: Set something on a surface
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UPDATE #1
Due to FumbleFingers's suggestion the question has been moved here