Principal of Golden Section' was propounded by :

Question

Accepted Answer

The correct answer to the question "Principal of Golden Section' was propounded by" is Option 4: Euclid. Here is a detailed explanation supporting this answer:

1. **Explanation for Option 4 (Euclid):**
   Euclid, a prominent Greek mathematician, is often credited with the formal introduction and study of the "Golden Section," also known as the "Golden Ratio." In his work "Elements," Euclid described this mathematical concept, which is a special number approximately equal to 1.6180339887. The Golden Ratio is significant in mathematics and appears in various aspects of art, architecture, and nature. Euclid's work laid the foundation for understanding this ratio, making him the correct answer for the propounder of the Golden Section.

2. **Explanation for why other options are incorrect:**

- **Option 1 (Luca Pacioli):** Luca Pacioli was an Italian mathematician and Franciscan friar who lived during the Renaissance. While he wrote extensively about the Golden Ratio in his book "De Divina Proportione," published in 1509, he did not originally propound the concept. Instead, he expanded on the ideas that were already established by earlier mathematicians like Euclid.

- **Option 2 (Mulk Raj Anand):** Mulk Raj Anand was an Indian writer in English, known for his novels and short stories. He was not a mathematician and did not contribute to the study or propounding of the Golden Section. His work was primarily in literature, focusing on social issues and humanism.

- **Option 3 (C. Shivramamurti):** C. Shivramamurti was an Indian art historian and scholar. While he may have had an interest in the aesthetics of art, he was not involved in the mathematical study or the original propounding of the Golden Section. His contributions were more aligned with art history rather than mathematics.

In conclusion, Euclid is the correct answer as he is historically recognized for his foundational work on the Golden Section in his mathematical treatises. The other options, while notable in their respective fields, do not have a direct connection to the original propounding of the Golden Section.