Indian Mathematical Concepts in Chinese Mathematics

Brahmagupta's mathematical treatise, the Brahmasphuta Siddhanta, was translated into Chinese during the Tang Dynasty and had a profound influence on Chinese mathematicians.

The Chinese character 'Ling' (零) is used to represent the concept of zero in Chinese mathematics.

The decimal system, which originated in India, was introduced to China through the Silk Road and became widely adopted in Chinese mathematics.

The Chinese character 'Zheng' (正) is used to represent the concept of 'sine' in Chinese mathematics.

The Pythagorean Theorem was used in the construction of the Great Wall of China to ensure the accuracy of right angles in the fortification's design.

The Chinese character 'Yu' (余) is used to represent the concept of 'cosine' in Chinese mathematics.

Indian astronomical calculations and methods were incorporated into the development of the Chinese calendar, influencing the accuracy and precision of timekeeping.

The Chinese character 'Cang' (苍) is used to represent the concept of 'tangent' in Chinese mathematics.

Sacred geometry, which involves the use of geometric patterns and proportions, was adopted from Indian mathematics and applied in the design of Chinese architecture.

The Chinese character 'Fang' (方) is used to represent the concept of 'secant' in Chinese mathematics.

Trigonometric functions, which originated in India, were adopted by Chinese mathematicians and used in the development of cartography and navigation, enabling more accurate calculations of distances and angles.

The Chinese character 'Jie' (截) is used to represent the concept of 'cosecant' in Chinese mathematics.

Modular arithmetic, which involves calculations based on remainders, was adopted from Indian mathematics and played a significant role in the development of Chinese algebra and number theory.

The Chinese character 'Xian' (弦) is used to represent the concept of 'cotangent' in Chinese mathematics.