The chapter explains why the balance of power was defined in territorial terms, rather than economically or based on military arsenals. Territory was not the source of rulers’ material capabilities. In fact rulers obtained full control over their territory only much later, but during the eighteenth century it appeared to them that they had to balance territory. Available representants made territory easily measurable, and therefore comparable, whereas economic representants, such as GDP, did not yet exist. The chapter elaborates how the representants of territory emerged: A search for a visual expression of infinity to express God’s unlimited power led to the discovery of single-point perspective in painting in the course of the fourteenth century. Over time, linear perspectival paintings decorated palace walls, and served as diplomatic gifts. Through the intermediary of geometry, the discovery of linear perspective had multiple knock-on effects on a series of representants. In particular, there were intertwined effects between single-point perspective in painting, Cartesian mapping, fortification design, practices of warfare, and garden and palace architecture. These interconnected and largely unintentional changes in their accumulation brought about the conception of territory as a measurable power resource.