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.
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.
Two branches
像大師、像主事者的那一面
這一組直接用畫面裡「那個人」本身：他講話的樣子，以及他寫得出來的東西。
adjective · C2
Describing the way someone speaks, behaves, or moves when they show that they believe they have the authority to decide something, and that other people will simply accept it.
威嚴的；有權威口吻的
地方法官的公務
這一支不是比喻，而是字面：magistrate 跟 magisterial 同出於 magister，所以它就是那個職位的形容詞。
adjective · C2
Connected with a magistrate — a local judge who deals with smaller cases — or done by one. This meaning is used only in front of a noun, as in magisterial duties or a magisterial inquiry.
地方法官的