What do the names of the different hours of the divine office mean? Where do they come from? (Etymology)

I was wondering what the different names of the various hours mean in the liturgy of the hours? Where did they come from and what is their significance? They sound badass, but it would be nice to know why they are called what they are called. The hours: - Matins - Prime - Lauds - Terce - Sext - None - Vespers - Compline (I have a hunch that "None" is etymologically related to the english word "noon", seeing as this hour is prayed close to noon)