Final answer:
The Pilates equipment described is the Reformer, which is central to Pilates exercise practices and known for its versatility and adaptability for a range of exercises.
Step-by-step explanation:
The Pilates equipment defined as "a wooden contraption with various cables, pulleys, springs, and sliding boards that is used for a series of progressive range-of-motion exercises" is the Reformer. This piece of equipment is fundamental to the practice of Pilates, as it enhances strength, flexibility, and coordination. The Reformer is distinguished by its versatile and dynamic nature, facilitating a diverse array of exercises that can be adapted to different skill levels and physical conditions.