The components translate as: Liber = free turris = tower domus dei = house of God I can't help with the rest I'm afraid.
My house is the English equivalent of Domus mea. In the word by word translation, the possessive 'mea' means 'my'. The noun 'domus' is a feminine gender noun that means 'house'.
This is the house of God.
Second house or The other house is the English equivalent of 'altera domus'. In the word by word translation, the adjective 'altera' means 'second, the other'. The noun 'domus' means 'house'.
Small home, great happiness.
Domus.
The phrase 'nova domus' means new house. In the word-by-word translation, the adjective 'nova' means new. The noun 'domus' means 'house'.
Bonus domus.
I don't think the Romans had a word for "lighthouse" but I suppose the phrases "Turris Lucis" or "Domus Lucis" would suffice. The first means "Tower of Light" and the latter "House of Light."
There are a couple of possibilities. "Villa" is the latin word for a house but "domus" meaning home can also be used however I think that is generally for more transitive or possessive purposes.
domicile, domain
I would say: 'domus scientiae' or perhaps 'scientiae domus' (domus is the literal family household, while scientiae means knowledge/wisdom and is in genitive OR dative form - whichever, it is still the same ending. not sure which way round they ought to go, though maybe I would opt for 'scientiae domus') Hope this helps! x or you can say templum scientæ as in temple of science
The Latin word for house is casa (or sometimes domus - cf. domestic in English). The word house is of Germanic origin.