Magister te in bibliotheca exspectat.

Because te is the accusative form of the second-person singular pronoun, and here you is the direct object of the verb.

• tu = you as the subject
• te = you as the object

So Latin says:

• Tu exspectas = You are waiting
• Magister te exspectat = The teacher is waiting for you

Because the Latin verb exspectat can take a direct object. English usually says wait for someone, but Latin simply says wait someone with that verb.

So:

• te exspectat literally looks like waits you
• but idiomatically it means waits for you

This is a very common thing in Latin: the verb may use a different construction from the most natural English translation.

Magister is nominative singular, because it is the subject of the sentence: the person doing the waiting.

The verb exspectat means he/she/it waits, so we look for a singular subject. Magister fits that role perfectly:

• magister = teacher as subject
• te = you as object

So the basic structure is:

Magister | te | exspectat
subject | object | verb

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

So exspectat means:

• he waits
• she waits
• it waits

In this sentence, the subject is magister, which is masculine singular, so the natural translation is the teacher waits or the teacher is waiting.

Because in can be used with two different cases:

• in + ablative = in, on (location)
• in + accusative = into, onto (motion toward)

Here, bibliotheca is being used as an ablative form, so it means location:

• in bibliotheca = in the library

If the meaning were into the library, Latin would use the accusative:

• in bibliothecam = into the library

This is a very common beginner question. In first-declension nouns, the nominative singular and ablative singular can look almost the same when texts do not mark vowel length.

With macrons, the difference is clearer:

• nominative singular: bibliothēca
• ablative singular: bibliothēcā

Many Latin texts leave out macrons, so both appear as bibliotheca in ordinary spelling. You know it is ablative here because it follows in in a phrase of location: in bibliotheca = in the library.

Latin does not have definite or indefinite articles like English the or a/an.

So:

• magister can mean teacher, a teacher, or the teacher
• bibliotheca can mean library, a library, or the library

Which one is best depends on context. In a simple sentence like this, English usually uses the: The teacher is waiting for you in the library.

No. Latin word order is much more flexible than English word order because the endings show each word’s role in the sentence.

So these could all mean essentially the same thing:

• Magister te in bibliotheca exspectat
• Te magister in bibliotheca exspectat
• In bibliotheca magister te exspectat

The differences are mostly about emphasis or style, not basic meaning.

In the given sentence, the order is quite natural and clear:

• Magister introduces the subject
• te gives the object
• in bibliotheca gives the place
• exspectat comes at the end, which is very common in Latin

It can mean either, depending on context. Latin present tense often covers both simple present and present progressive in English.

So exspectat may be translated as:

• waits
• is waiting

In this sentence, English usually sounds more natural with is waiting:

The teacher is waiting for you in the library.

But grammatically, both are possible translations of the Latin present.

Yes, Latin often leaves out subject pronouns, but here magister is not a pronoun: it gives actual information about who is waiting.

The verb exspectat already tells us the subject is third person singular, but it does not tell us whether that subject is the teacher, the girl, Marcus, or someone else. So magister is included to identify the subject clearly.

If you removed magister, te in bibliotheca exspectat would mean something like He/She is waiting for you in the library, with the exact subject understood from context.