This analysis explores the distinction between different types of mental constructions by comparing the intentional objects of a "triangle" and a "centaur." The author argues that the construction of a triangle is characterized by absolute precision and clarity, remaining entirely independent of specific empirical encounters with physical shapes that might resemble it. In contrast, the mental image of a centaur is inherently approximate and derivative. Its formation relies on narratives, descriptions, and perceived similarities to creatures known from sensory experience. While the triangle represents a rigorous ideal form, the centaur is a vague synthesis of pre-existing images and stories. This distinction highlights the fundamental difference between the exactitude of geometric abstractions and the fluid nature of mythological or fictional entities. By examining these two examples, the text clarifies how intentionality operates differently across various domains of thought, distinguishing between a priori mathematical truths and experience-based imaginative constructs. The result is a deeper understanding of how the mind constitutes objects of varying degrees of ontic stability and formal definition.