Cerarius mellificium familiae spectat.

Cerarius is in the nominative singular, which is the case normally used for the subject. It also matches spectat, which is third-person singular: he/she/it watches, looks at, observes.

The other nouns are doing different jobs:

• mellificium = accusative singular, so it is the direct object
• familiae = most naturally genitive singular here, modifying mellificium

So cerarius is the word that fits as the subject.

Mellificium is accusative singular neuter. In this sentence, it is the direct object of spectat.

That means it is the thing being watched, observed, or regarded.

A learner can often spot this because:

• spectat is a transitive verb here
• the sentence needs something for the subject to act on
• mellificium has the form of a neuter singular accusative

Here familiae is most naturally genitive singular, meaning of the family/household.

So mellificium familiae means something like:

• the family’s honey-making
• the honey-making of the household

The ending -ae can be ambiguous, because it can also be:

• nominative plural
• dative singular

But in this sentence, genitive singular makes the best grammatical sense.

In form, yes: familiae could be dative singular as well as genitive singular.

But in this sentence, dative is much less likely. The main reason is syntax:

• spectat does not naturally take familiae here as an indirect object
• mellificium familiae works very naturally as a noun phrase meaning the family’s honey-making

So although the form is ambiguous by itself, the sentence structure points strongly to genitive.

Latin word order is much freer than English word order because Latin uses case endings to show each word’s job.

In English, we depend heavily on position:

• The wax-worker watches the family’s honey-making

In Latin, the endings already tell you:

• who is acting
• what is being acted on
• what belongs to what

So Cerarius mellificium familiae spectat can place the verb at the end, which is very common in Latin. The order feels natural for Latin even though it is less natural in English.

It can mean more than just a physical glance.

The basic idea of spectat is:

• looks at
• watches
• observes

Depending on context, it can sometimes shade into:

• considers
• examines
• has regard to

In this sentence, with a concrete object like mellificium, the most straightforward sense is probably watches or observes, unless your given translation shows a more specialized meaning.

The ending -t tells you the verb is third-person singular in the present tense.

So spectat means:

• he watches
• she watches
• it watches

Latin verbs already include the subject information in the ending, which is why Latin often does not need a separate subject pronoun like he or she.

Here, the explicit subject is still given: cerarius.

Yes, and noticing that can help vocabulary a lot.

• cerarius is related to cera, meaning wax
  • so cerarius suggests someone connected with wax, such as a wax-worker or similar trade
• mellificium is built from mel (honey) and the idea of making/producing
  • so it means honey-making, and by extension can refer to beekeeping or the production of honey

Latin often forms words this way, so learning roots can make unfamiliar vocabulary much easier to recognize.

Because classical Latin does not have articles like English the and a/an.

So a Latin noun like cerarius can mean:

• a wax-worker
• the wax-worker

And familiae can mean:

• of a family
• of the family

English has to choose an article when translating, but Latin usually leaves that to context.