Bhaskara II's Work on Arithmetic, Algebra, and Geometry

Lilavati is a treatise on arithmetic that covers topics such as addition, subtraction, multiplication, division, fractions, and square roots.

Bijaganita is a treatise on algebra that covers topics such as linear and quadratic equations, indeterminate equations, and Diophantine analysis.

Siddhanta Shiromani is a treatise on astronomy that includes a section on geometry. This section covers topics such as triangles, quadrilaterals, circles, and spheres.

Bhaskara II's formula for finding the area of a triangle is (\frac{1}{2} * base * height).

Bhaskara II's formula for finding the area of a circle is (\pi * radius^2).

Bhaskara II's formula for finding the volume of a sphere is (\frac{4}{3} * \pi * radius^3).

Bhaskara II's method for solving quadratic equations is completing the square.

Bhaskara II's method for solving indeterminate equations is the Chakravala method.

Bhaskara II developed a method for solving Diophantine equations, which are equations that involve integer solutions.

Bhaskara II's most famous theorem in geometry is the circle theorem, which states that the sum of the squares of the two tangents drawn from a point outside a circle to the circle is equal to the square of the diameter of the circle.

Bhaskara II developed a method for calculating the sine and cosine of an angle, which allowed him to solve problems involving triangles.

Bhaskara II developed a model of the solar system that was based on the idea that the Earth is at the center of the universe and that the Sun, Moon, and planets revolve around it.

Bhaskara II is considered one of the greatest mathematicians of all time for his contributions to arithmetic, algebra, geometry, and astronomy.

Bhaskara II lived in the 12th century.

Bhaskara II studied at Nalanda University.