Post disputationem tandem consensus inter puellas nascitur, et magistra gaudet.

Because post is a preposition that takes the accusative when it means after.

• post disputationem = after the argument / discussion
• Base form: disputatio
• Accusative singular: disputationem

So this is just the normal construction after post.

Tandem means at last, finally, or eventually. It often suggests that something happened after some delay or after a process.

So in this sentence it gives the sense that the agreement does not come immediately; it comes in the end.

Consensus is the subject of nascitur, so it is in the nominative singular.

A learner may wonder about the form because consensus belongs to the 4th declension, and in the nominative singular it looks the same as some other forms. Here it is nominative because it is the thing that arises or comes into being.

So the basic structure is:

• consensus nascitur = agreement arises / is born

Consensus is a 4th-declension masculine noun.

Important points:

• nominative singular: consensus
• genitive singular: consensūs

In this sentence, it means agreement, harmony, or a coming to agreement. Even though English often uses agreement in a more abstract way, Latin can treat it very naturally as the subject of a verb like nascitur.

Yes, nascitur looks passive, but it comes from nascor, which is a deponent verb.

A deponent verb:

• has passive forms
• but active meaning

So:

• nascitur literally looks like is born
• but in sense it functions actively: is born, arises, comes into being

With something abstract like consensus, a natural English translation is:

• agreement arises
• agreement is formed
• a consensus emerges

Because inter is a preposition that takes the accusative and means among or between.

So:

• inter puellas = among the girls

Even though English says among the girls, Latin uses inter + accusative. That is the normal construction.

Inter puellas emphasizes the idea of something happening among the girls, in their group, or between them.

A simple dative puellis would not mean the same thing here. The dative often marks an indirect object, reference, or advantage/disadvantage, but it does not normally express this spatial/social idea of among.

So Latin chooses:

• inter puellas = among the girls

because it is the clearest idiomatic way to show where the consensus arises.

Because magistra is the subject of gaudet.

The second clause is:

• et magistra gaudet = and the teacher rejoices / is glad

So:

• magistra = nominative singular
• gaudet = 3rd person singular present

Gaudet comes from gaudeo, gaudere, meaning to rejoice, to be glad, or to take pleasure.

Here it means that the teacher is happy about the outcome.

Grammatically:

• gaudet = she rejoices / she is glad
• present tense
• 3rd person singular

Latin word order is much more flexible than English word order because Latin uses endings to show grammatical function.

In this sentence:

• Post disputationem sets the scene first: after the discussion
• tandem adds emphasis: finally
• consensus is placed before the verb, making the key result prominent
• inter puellas specifies where the agreement exists
• nascitur comes at the end of the clause, which is very natural in Latin
• then et magistra gaudet adds the consequence

So the order is not random. It helps emphasize the flow:

1. after the dispute,
2. finally,
3. agreement
4. among the girls
5. arises,
6. and the teacher is happy.

Formally, both verbs are present tense:

• nascitur
• gaudet

Depending on context, this could be either:

• a true present: the action is happening now, or
• a historical present: Latin often uses the present in storytelling to make events feel vivid

So if this sentence comes from a narrative, the present tense may be used for liveliness: agreement finally arises ... and the teacher is delighted.

Latin has no definite article like English the and no indefinite article like a/an.

So:

• puellas can mean girls or the girls
• magistra can mean a teacher or the teacher

You understand which one is meant from the context. In this sentence, English naturally uses the girls and the teacher, but Latin does not need separate words for that.