Brahmasphuta Siddhanta

Khandakhadyaka

Aryabhatiya

Lilavati

Astronomy

Mathematics

Philosophy

Religion

The development of the decimal system

The invention of the zero

The discovery of the Pythagorean theorem

The development of algebra

$x = (-b \pm \sqrt{b^2 - 4ac}) / 2a$

$x = (-b \pm \sqrt{b^2 + 4ac}) / 2a$

$x = (-b \pm \sqrt{b^2 - 4ac}) / a$

$x = (-b \pm \sqrt{b^2 + 4ac}) / a$

The sum of the squares of two sides of a triangle is equal to the square of the third side.

The area of a triangle is equal to half the product of its base and height.

The Pythagorean theorem

The sum of the angles of a triangle is equal to 180 degrees.

$a^2 + b^2 = (a + b)^2 - 2ab$

$a^2 - b^2 = (a + b)(a - b)$

$a^2 + b^2 = (a - b)^2 + 2ab$

$a^2 - b^2 = (a - b)^2 - 2ab$

The area of a cyclic quadrilateral is equal to the product of its diagonals.

The area of a cyclic quadrilateral is equal to half the product of its diagonals.

The area of a cyclic quadrilateral is equal to the sum of the areas of its triangles.

The area of a cyclic quadrilateral is equal to the difference of the areas of its triangles.

The volume of a pyramid is equal to one-third the product of its base area and height.

The volume of a pyramid is equal to half the product of its base area and height.

The volume of a pyramid is equal to the product of its base area and height.

The volume of a pyramid is equal to twice the product of its base area and height.

The volume of a sphere is equal to four-thirds the product of its radius and its surface area.

The volume of a sphere is equal to two-thirds the product of its radius and its surface area.

The volume of a sphere is equal to one-third the product of its radius and its surface area.

The volume of a sphere is equal to half the product of its radius and its surface area.

$C = \pi d$

$C = 2 \pi r$

$C = \pi r^2$

$C = 4 \pi r$

$A = \pi r^2$

$A = 2 \pi r$

$A = \pi d$

$A = 4 \pi r$

$V = \pi r^2 h$

$V = 2 \pi r h$

$V = \pi d h$

$V = 4 \pi r h$

$V = \frac{1}{3} \pi r^2 h$

$V = \frac{1}{2} \pi r h$

$V = \pi r^2 h$

$V = 2 \pi r h$

$V = \frac{4}{3} \pi r^3$

$V = \frac{2}{3} \pi r^3$

$V = \pi r^3$

$V = 2 \pi r^3$