Step 1: Understanding the Concept:
The principles of design in home interiors and art utilize mathematical ratios to achieve aesthetic balance, proportion, and visual harmony.
Step 2: Detailed Explanation:
The ratio described in the question is the definition of the Golden Section (also known as the Golden Mean or Golden Ratio):
- It is a mathematical ratio of approximately \(1 : 1.618\).
- It states that if a line (or an oblong/rectangle) is divided into two unequal parts, the ratio of the smaller part (\(a\)) to the larger part (\(b\)) must equal the ratio of the larger part (\(b\)) to the whole length (\(a + b\)):
\[ \frac{a}{b} = \frac{b}{a + b} \]
This classical Greek proportion has been used for centuries in art, architecture, and interior design to create pleasing proportions that are inherently satisfying to the human eye.
Step 3: Final Answer
The described division of an oblong is known as the golden section.