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A corollary is something that follows straight from something else: once the first thing is true, this extra thing is true as well, almost for free. It is a formal, word.
A corollarycorollary is something that follows straight from something else是直接從另一件事推導出來的東西: once the first thing is true只要前面那件事成立, this extra thing is true as well這件額外的事也會跟著成立, almost for free幾乎不費力氣. It這 is a formal, bookish word是一個正式、書面感很重的字.
In maths, a corollary is a short extra result that drops out of a bigger proof, without much new work. In careful English, people say “A corollary of this is…” to mean “so this other thing follows”.
In maths在數學裡, a corollarycorollary is a short extra result that drops out of a bigger proof是從一個比較大的證明裡就能推出的一個簡短結果, without much new work不太需要額外功夫. In careful English在講究的英文裡, people say大家會說 "A corollary of this is…"「A corollary of this is…」 to mean意思是 "so this other thing follows"「所以另一件事也就跟著成立」.
You would not use it for a simple everyday result like “I was late, so I missed the bus”. A corollary feels like a logical next step, not just what happened next.
You would not use it你不會拿它來說 for a simple everyday result like像這種簡單的日常結果 "I was late, so I missed the bus"「I was late, so I missed the bus（我遲到了，所以錯過公車）」. A corollarycorollary feels like a logical next step給人的感覺是邏輯上必然的下一步, not just what happened next而不只是後來發生的事.
The word started as a little extra gift: in Latin, extra money paid for a small garland, then a little extra conclusion.
The word這個字 started as a little extra gift最早的意思是一份小小的額外贈禮: in Latin在拉丁文裡, extra money paid for a small garland指的是為了一個小花環額外付的錢, then後來演變成 a little extra conclusion一個額外的小結論.
組成From Late Latin corōllārium (“gift; extra; deduction”), from corōlla (“small garland”), the diminutive of corōna (“crown”). First a little extra payment for a garland, then a little extra result.
原始詞典資料5 筆記錄
以下是外部詞典記錄的用法，原文照列，我們還沒有寫成教學內容。上面的說明才是我們自己寫的；有些用法可能上面已經講過了。
corollarynoun/kɒˈɹɒləɹi/
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A gift beyond what is actually due; an addition or superfluity.
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An a fortiori occurrence, as a result of another effort without significant additional effort.
- Finally getting that cracked window fixed was a nice corollary of redoing the whole storefront.
- […] he was indeed of the opinion that the spontaneous uprising of the working class would come to nothing unless the party was there to give it shape and direction. This was an obvious corollary of the party's role as the only possible vehicle of socialist consciousness.
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human-scienceslogicmathematicsA proposition which follows easily from the statement or proof of another proposition.
- We have proven that this set is finite and well ordered; as a corollary, we now know that there is an order-preserving map from it to the natural numbers.
corollaryadj/kɒˈɹɒləɹi/
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Occurring as a natural consequence or result; attendant; consequential.
- However, given current sensibilities about individual privacy and data protection, the recording of oral data is becoming increasingly onerous for researchers who are obliged to navigate an often time-consuming and complex series of administrative requirements and corollary review processes in order to be granted ethics clearance.
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rareForming a proposition that follows from one already proved.
資料來源：英文維基詞典 English Wiktionary（CC BY-SA 4.0）。 原文照列，未經改寫。