Jyeṣṭhadeva was a 16th-century Indian mathematician and astronomer who wrote the Yuktibhāṣā.

The Yuktibhāṣā was written in Sanskrit, which was the lingua franca of scholarship in India at the time.

The Yuktibhāṣā is a comprehensive work that covers a wide range of topics, including arithmetic, algebra, geometry, and astronomy.

The Yuktibhāṣā is a valuable source of information about ancient Indian mathematics. It contains many important mathematical theorems and methods that would have been lost if it had not been written.

The Pythagorean theorem is one of the most famous and important theorems in mathematics. It states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Yuktibhāṣā has 18 chapters, each of which covers a different topic in mathematics.

The first chapter of the Yuktibhāṣā is an introduction to the work. It discusses the purpose of the work and the methods that will be used.

The last chapter of the Yuktibhāṣā is a conclusion. It summarizes the main points of the work and discusses the importance of mathematics.

The method of exhaustion is a mathematical method that is used to find the area of a curved figure. It involves dividing the figure into a large number of small pieces and then finding the area of each piece. The sum of the areas of the pieces is then equal to the area of the curved figure.

The Yuktibhāṣā contains a detailed discussion of the motion of the planets. Jyeṣṭhadeva used his mathematical knowledge to develop a model of the solar system that was able to predict the positions of the planets at any given time.

The Yuktibhāṣā contains a detailed discussion of the sine function. Jyeṣṭhadeva used the sine function to develop a method for solving triangles.

The Yuktibhāṣā contains a detailed discussion of the area of a circle. Jyeṣṭhadeva used the Pythagorean theorem to develop a formula for the area of a circle.

The Yuktibhāṣā contains a detailed discussion of the prime numbers. Jyeṣṭhadeva developed a number of methods for finding prime numbers.

The Yuktibhāṣā contains a detailed discussion of the quadratic equation. Jyeṣṭhadeva developed a number of methods for solving quadratic equations.

The Yuktibhāṣā contains a detailed discussion of the Pythagorean theorem. Jyeṣṭhadeva used the Pythagorean theorem to develop a number of other important geometric theorems.