One way to hold this word: picture the person at the front of the room — the master, the teacher, the judge on the bench. They speak once, slowly, and the room settles. Nothing about the picture is loud. What makes it work is that everyone in the room treats this person as the one whose word closes the matter. Every use of magisterial keeps some part of that picture: the way such a person sounds, the kind of book such a person , or the office such a person actually holds.
From the word’s history
Wiktionary traces magisterial to Late Latin magisterialis, from Latin magisterium — the position of a magister, a master or teacher. The modern uses stay close to that: the manner of a master, the work of a master, and the office of a magistrate.
依 Wiktionary，magisterial 來自晚期拉丁文 magisterialis，再往上是拉丁文 magisterium（magister「主人、老師」的職分）。今天的三個用法都沒離開這個源頭：像主人的架式、像大師的著作、以及地方法官的職務。
Wiktionary (kaikki:3f6f69a190036ae4:1116308402): From Late Latin magisterialis, from Latin magisterium.
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