PATA and IDE are essentially the same thing. "PATA" stands for "Parallel ATA", and IDE stands for "Integrated Drive Electronics". ("ATA" stands for "AT-Attached", an acronym based on the original IBM PC/AT computer from the early 80's). Both PATA and IDE refer to the type of connection that was used in virtually all desktop systems for optical and hard drives up to just a few years ago when SATA (Serial ATA) was introduced.
If your drive has a 40-pin connector for the data cable then it's a PATA / IDE drive. The alternative, SATA, has a much smaller connector with only a few contacts.