Mater gaudet, quia sanitas filiae cotidie melior fit.

Mater is the nominative singular, so it is the subject of gaudet.

Even though mater is feminine, it does not belong to the first declension. It is a third-declension noun:

• nominative singular: mater
• genitive singular: matris

So its feminine gender does not force it to have a first-declension ending like -a.

Gaudet is the third-person singular present active indicative of gaudēre, meaning to rejoice or be glad.

It is singular because the subject is mater, one mother.

A quick breakdown:

• gaudeo = I rejoice
• gaudes = you rejoice
• gaudet = he/she rejoices

So mater gaudet means the mother rejoices.

Quia means because and introduces a causal clause.

So the sentence is divided like this:

• main clause: Mater gaudet
• reason clause: quia sanitas filiae cotidie melior fit

In Latin, quia commonly introduces a real or stated reason, and it often takes the indicative, as it does here with fit.

Here filiae is genitive singular, meaning of the daughter.

So:

• sanitas = health
• filiae = of the daughter

Together, sanitas filiae means the daughter’s health or the health of the daughter.

It is true that filiae can have several forms in Latin:

• genitive singular
• dative singular
• nominative plural

But in this sentence, the meaning and structure show that it must be genitive singular, because it depends on sanitas.

In the clause quia sanitas filiae cotidie melior fit, the thing that is becoming better is sanitas, the health.

So sanitas is the subject of fit.

You can see this from the nominative form sanitas, and from the sense of the sentence:

• the mother rejoices
• because the daughter’s health is improving

So the clause is not about the daughter becoming better directly, but about her health becoming better.

Melior is the comparative form of bonus, meaning better.

It agrees with sanitas, which is:

• feminine
• singular
• nominative

The comparative forms work like this:

• masculine/feminine nominative singular: melior
• neuter nominative/accusative singular: melius

Since sanitas is feminine, Latin uses melior, not melius.

This is a very common question.

• melior est = is better
• melior fit = becomes better, is getting better

The verb fio, fieri often means to become or to happen. Here fit shows change over time, not just a static condition.

So sanitas filiae melior fit means the daughter’s health is improving, not merely that it is already in a better state.

Fit is from fio, fieri, factus sum, a verb that often means:

• become
• come to be
• sometimes happen

In this sentence, it means becomes.

So:

• melior fit = becomes better

This is a very natural Latin way to express improvement or change.

Cotidie is an adverb meaning daily, every day, or day by day.

It modifies fit, or more broadly the whole idea of the daughter’s health improving.

So the sense is:

• the daughter’s health becomes better every day
• or day by day

It tells us how often or with what regular progress the improvement is happening.

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

Here cotidie comes before melior fit to sit naturally near the idea it modifies: the ongoing improvement.

English would usually say:

• the daughter’s health is getting better every day

Latin can say:

• sanitas filiae cotidie melior fit

without any confusion.

So the placement is normal and idiomatic, not something you should try to translate word-for-word into rigid English order.

Yes: the word order is flexible but purposeful.

The sentence is:

• Mater gaudet, quia sanitas filiae cotidie melior fit.

A few things to notice:

• Mater gaudet is short and direct.
• quia clearly marks the reason.
• sanitas comes early in the clause because it is the subject of the reason clause.
• melior fit comes at the end, which is a very natural place in Latin for an important verbal idea.

Latin often saves an important word or phrase for the end, and here melior fit neatly highlights the improvement.

In form, yes: filiae could also be dative singular, meaning to the daughter.

But in this sentence that would not make good sense:

• sanitas to the daughter is not the natural relationship
• health of the daughter is exactly what the sentence needs

So although the form is ambiguous by itself, the context makes the meaning clear: genitive singular.

Latin has no articles like English the or a/an.

So:

• mater can mean mother, a mother, or the mother
• filiae can mean of a daughter or of the daughter

The context tells you which is most natural. In this sentence, English usually translates it with the:

• The mother rejoices, because the daughter’s health is getting better every day.

Yes. Sanitas is a normal Latin noun meaning health, soundness, or well-being.

It is the source of the English word sanity, though in Latin the basic meaning is broader and includes physical health as well.

In this sentence, it clearly refers to health in the ordinary sense.