is the ponte vecchio bridge is an arch bridge

The brooklyn bridge is not a arch bridge

Arch bridge: the span beam of bridge is the shape of an arch & the load is diverted in compressive method.

Beam bridge: the shape of beam span is of simply supported or continuous. here the load is diverted through bending compression method.

The arch was invented by the ancient Romans and used through out the empire.

it is a hybrid between an arch bridge and truss bridge. so it is classified as an arch and truss