Quick review:
La veritable magie noire is a small french Grimoire dating from late 18th century. It follows in the same tradition as Grimorium Verum and Clavicula Salomonis. But it differs in the sense that the purpose of the book is not to call on angels or demons. There are no long conjurations, magic circles or overly complex rituals.
The book is very short, there are only 2 chapters:
1. Making the tools
2. The pentacles.
The preparation of the tools is the same method as described in the Verum but the Magie Noire has much better illustrations. There are also a couple of short spells (called experiments) that seems very down to earth. Jake stratton-kent made a comment about the Verum having a simpler method than the Clavicula, and I would comment that the Magie Noire has an even easier method. It's almost approachable. And I think some modern magickans could easily replicate the workings described in this book.
The pentacles are similar to those in the Clavicula, except for the other rings of the pentacles. Instead of having Hebrew scripture they have Latin scripture. The inside however is still in hebrew and it's handwritten script so it can be pretty hard to read sometimes. I wouldn't copy them straight out of this book, but I would use this as a strong references.
Also you don't have silly things like Horns on the pentacle of the Sun like you see in Mathers version. And the 7th pentacle of Saturn isn't upside down...
But Peterson has one more gift to give. The book is interlinear with french and english. So you get the entire 1750 French edition printed at Lille France by Simon Blocquel, and then Peterson's english translation with comments and notes from 18 different sources.
It's a pretty powerful punch for a mere 200 pages.