In the first third of the seventh century, during the reign of Heraclius, an anonymous officer of the Eastern Roman Empire wrote notes for his cavalry contingent, inspired by the Strategicon of Mauritius, and probably using an instruction manual. The result is this little treatise, the last product of the first phase of Byzantine polemography, a fundamental source of military practice in the seventh century. This book is unique of its kind, because it is not a systematic manual, but a true collection of tactical notes. The text is proposed in a new critical edition, translated and commented for the first time.