Translation of "Demonstrated" in Chinese

The teacher demonstrated the idea with an experiment.

这位老师用试验论证了这个想法。

"Quod erat demonstrandum" is a Latin expression often used in mathematics, which means "that which was to be demonstrated."

「Quod erat demonstradum」是一句數學上經常使用的拉丁句子，意思是「證明完畢」。