Final answer:
The fall of Constantinople and Columbus's voyage of discovery spurred the need for new maritime routes.
Step-by-step explanation:
The two events that spurred the need to chart new maritime routes were the fall of Constantinople in 1453 and Columbus's voyage of discovery in 1492.
After the fall of Constantinople, Europeans were cut off from direct trade with South and East Asia and had to rely on Muslim middlemen. This led European countries to search for new all-water routes to the Indies, motivated by religious zeal and desire for profit.
Columbus's voyage brought a sense of competition to the spice trade and spurred other European powers to venture into uncharted waters, improve navigational technologies, and establish new trade routes.