The Shinmeikai dictinary defines 椅子 as:
What does てよりかか mean there?
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Nothing much to add to @永劫回帰's answer itself, just a follow-up about the format:
It's almost like writing in English:
a piece of furniture for sitt(ing and reclin)ing on
Of course you usually don't want to write such a Frankenstein sentence in English, but Japanese has no spaces between words and can be broken anywhere, so why not? As a result, we don't hesitate to insert fragments in parentheses wherever both ends meet around them.