I saw her dance/dancing

[Rachel Adams]

Hello.

What is the name of this construction?

''I saw her dancing'' and ''I saw her dance''.

 

[jutfrank]

Those are two different constructions. I represent them like this:

see somebody doing something
see somebody do something

Another way to note these patterns is:

see + object + -ing
see + object + infinitive

 

[Rachel Adams]

It doesn't have a particular name?

 

[Rover_KE]

What sort of name were you expecting?

 

[tedmc]

It doesn't have a particular name?

Verb of perception.

 

[jutfrank]

It doesn't have a particular name?

No. Contrary to what several learners on this forum seem to think, grammatical structures don't tend to have names. (Some do.)

I mean, you can describe them using grammatical terminology, or you can simplify patterns (as I've done in two different ways in post #2).