Aryabhata did not propose the Heliocentric Theory, which places the Sun at the center of the solar system. Instead, he adhered to the prevailing geocentric model, with Earth at the center.

Aryabhata's influential work on astronomy was titled 'Aryabhatiya', which consisted of four sections covering various aspects of mathematics and astronomy.

Aryabhata approximated the value of pi (π) as 3.1416, which is an accurate estimation considering the limited computational tools available at the time.

Aryabhata accurately attributed solar and lunar eclipses to the refraction of light, demonstrating his understanding of the bending of light rays as they pass through different mediums.

Aryabhata proposed the concept of a spherical Earth, challenging the prevailing flat Earth belief and laying the foundation for a more accurate understanding of the Earth's shape.

Aryabhata's significant contributions include the introduction of zero as a placeholder in the decimal system, revolutionizing the way numbers were represented and facilitating complex calculations.

Aryabhata designed the Armillary Sphere, an intricate instrument consisting of a series of graduated rings representing celestial circles, allowing astronomers to calculate the positions of stars and planets.

Aryabhata utilized Kutta's Method, also known as the Method of Exhaustion, to approximate the solutions of indeterminate equations, demonstrating his ingenuity in solving complex mathematical problems.

Aryabhata derived the formula for calculating the area of a triangle as Area = (1/2) * Base * Height, a fundamental formula still used today in geometry.

Pascal's Triangle, a triangular array of binomial coefficients, is not directly attributed to Aryabhata but was later developed by Blaise Pascal.

Aryabhata proposed that planets move in elliptical orbits around the Sun, a concept later refined by Johannes Kepler.

Aryabhata successfully predicted the occurrence of a solar eclipse using his astronomical calculations, demonstrating the accuracy and precision of his methods.

Aryabhata's method for calculating the circumference of a circle involved multiplying the diameter of the circle by pi (π).

Aryabhata introduced the Place Value System, where the value of a digit depends on its position within a number, revolutionizing the way large numbers were represented and calculated.