A Petzval lens is a very old, very simple lens design, consisting of two positive doublets, one on each side of the aperture.
Decent image quality, but over a limited field. And for its period (mid 19th century), very fast.
What realy made it special - its claim to fame - is that it was one of (or perhaps the) first lenses that were calculated, and not just made up relying on experience and craftmanship.
Being rather simple - thus cheap -, fast, and pretty good, it was popular for a while.