why genitive?

Latin Learning Latin
1
  1. In Orberg’s LLPSI Cap XLIV (simplified Livy) Orberg is describing the division of Roman men into Centurias.

Having described the prima classis he goes on to describe the secunda as follows:

Additae huic classi duae fabrum centuriae, quae sine armis stipendia facerent.

He’s saying that added to this first class was this second class but why is it all in genitive case? Aren’t they the object of the sentence?

— unless duae is fem nom. pl. ?

  1. Then he describes the third class.

Tertiae classis quinquagina milium censum esse voluit; totidem factae.
I find the syntax very tricky. I know that the king is decreeing that this third class should comprise those who have 50,000 asses or more (up to 75k). I’m assuming Tertiae classis are both genitive.

Is it 'of the third class he estimated [as having] 50,000; totidem factae - created in the same number (20) of centurias.

factae is perf passiv part. fem. nom pl. - referring to the tertia classis, right?
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2

The feminine genitive of duo, duae, duo is duārum. I would translate “Totidem factae” as “Just as many were formed”.

3

If we’re being rigorous in excess I guess we’d say it is the dual.

N Duo, duæ, duo
G Duorum, duarum, duorum
Ac Duo/Duos, Duas, duo
Ab/Dat Duobus, Duabus, Duobus

It has no other number, since by definition duo is already “plural”, meaning it’s already 2. Same with tres/tres/tria. (But not, it’s worth noting, with Unus, Una, Unum).

4

Mea culpa

I have a blind spot about Latin quantities..

I will try harder!

Many thanks.