Clil MATHEMATICS PROPORTIONS: THE GOLDEN RATIO Since ancient times, an important tool for creating harmonic compositions in architecture has been the Golden Ratio1, which is considered to be the perfect proportion because it can be reproduced infinitely. the Golden Ratio System for the scale of architectural proportion and described it in the Modulor (1948) expressing his support of the research that Vitruvius, Leonardo da Vinci, and Leon Battista Alberti started centuries before: to find the mathematical relationship between human dimensions and nature. The ratio 1:1.61 occurs over and over in nature. It may be found in everything from the shape of our universe, the structure of clouds, the petals of flowers, and even the proportions of the human body, confirming that the Golden Ratio is the most aesthetically pleasing proportion in existence. The total length a + b is to the longer segment a as a is to the shorter segment b. The Greeks knew The Golden Ratio and used it extensively in the design of the Parthenon and other architecture. Since the Renaissance, many artists and architects have proportioned their works using the Golden Ratio. In the 20th century, Le Corbusier explicitly used 12 Read the text and answer the questions. 1. What has the tool to create harmonic compositions been since ancient time? 5. Which famous architect used the Golden Ratio System? 2. Why is the Golden Ratio considered to be the perfect proportion? 6. Where did he describe this scale of architectural proportions? 3. Where did the ancient Greeks apply the rule of the Golden Ratio? 7. Beyond architecture, in what spheres may the ratio 1:1.61 occur? 4. What did Vitruvius, Leonardo da Vinci and Leon Battista Alberti research? 8. What does it confirm? 1. The Golden Ratio is an irrational mathematical constant denoted by the Greek letter phi ( ) approximately 1.61. HISTORY OF ARCHITECTURE 335