The term 'ART OF TRAINING HORSES AND RIDERS' can be summarized as the practice of manege, which is a French word meaning the art of training horses and riders. Manege is a discipline that focuses on the development of horsemanship skills, such as dressage, jumping, and cross-country riding. It also involves teaching riders how to properly handle and care for their horses. The goal of manege is to create a harmonious relationship between horse and rider, allowing them to work together in a safe and effective manner.