Joseph Pilates, the inventor of Pilates who took Kryznaowska under his wing, referred to Pilates equipment simply as "the apparatus." The term "equipment" is also suitable, but when you're referring to the signature Pilates piece known as, the term "apparatus" is the favored name.

Magic Circles
As the story goes, the inspiration from Joseph Pilates' original magic circles came from the rings that surround large barrels of beer. Magic circles have since evolved. For example, some manufacturers now make them with options for various resistance levels.

Magic circles are considered a secondary prop, which means you can choose to perform Pilates exercises with or without them.Pilates Bands
Pilates bands come in different lengths and tensions to add resistance to Pilates exercises. These ribbon-style bands usually work better than tubing bands for at-home Pilates practice.