I'd have to defer to an actual lawyer (paging JR!), but in all the decisions I have read on contract disputes and the like, it's always a single judge or a panel of judges that jointly determine the opinion of the court on the case. Higher level courts (i.e appeals courts and the supreme court) do not have juries because the facts are already established (which is what the second half of that clause means).
I suspect that if the facts aren't in question, then there would not be a jury trial and thus that excerpt of the 7th Amendment would not apply.
I suspect that if the facts aren't in question, then there would not be a jury trial and thus that excerpt of the 7th Amendment would not apply.