Во-первых, терциями Кортес воевать не мог
…setting up two companies with crossbows, bucklers, and pikes, and another two with horses, he [the commander Rojas] approached the largest squadron of the Indians from two sides so that the crossbows could do it much harm…he [then] attacked on two sides with the horses in a closed and tight thong. Trampling and killing with the lances, they opened up the squadron…the Indians were defeated and dispersed. (Sheppard, 45)