Final answer:
The three-centered arch with a crown having a greater radius is characteristic of a stable arch, which is exemplified in Gothic architecture where forces are directed downward to maintain stability.
Step-by-step explanation:
The characteristic of a three-centered arch with a crown having a radius much greater than that of the outer pair of curves is that it is a stable arch. This type of arch, often associated with Gothic architecture, demonstrates stability and strength because it resolves forces into compressive stresses. The pointed arch relieves some of the stress on other structural elements and allows for the efficient distribution of weight, making it a key feature of Gothic architecture. The pointed arch, which is a variant of such a three-centered arch, directs more force downwards rather than outwards, allowing for greater heights and thinner walls in Gothic buildings while maintaining stability.