The term "downward-arching" can be used to describe various shapes and forms, from physical objects to abstract concepts. Some synonyms for this term include "drooping," "descending," "sagging," "slouching," and "bowing." These words often connote a sense of weakness or decline, suggesting a lack of strength, resilience, or vitality. In contrast, words like "upward-arching," "rising," and "soaring" convey a sense of growth, strength, and aspiration. The choice of synonyms to describe downward-arching shapes or ideas depends on the context and the desired connotations. In some cases, a downward-arching shape may be perceived as elegant or graceful, such as in the arch of a bridge or the curve of a swan's neck.