Which Renaissance proportion theory focuses on relationships defined by ratios involving shapes and dimensions?

The choice of geometric proportion is appropriate because this theory during the Renaissance emphasizes the significance of relationships defined by ratios that involve shapes and dimensions. Geometric proportion is rooted in mathematical relationships that can be visually represented through geometric forms, such as rectangles and triangles.

Renaissance architects and artists, inspired by the principles of antiquity, often utilized geometric proportion to create harmony in their designs. This system focuses on the aesthetic qualities that arise from the ratios of lengths, widths, and heights of different architectural elements. These ratios were believed to produce beauty and harmony in proportion to the human form and surroundings.

While the golden section also involves ratios and proportions, it specifically refers to a particular ratio that is often seen in nature and art, known as the divine proportion. Arithmetic proportion, on the other hand, involves linear relationships rather than the geometric ones emphasized in design. Clustered organization does not directly pertain to the principles of geometric relationships in dimensions but rather refers to arrangements of elements in space. Thus, geometric proportion stands out as the theory most deeply aligned with the use of defined ratios in architecture during the Renaissance.