BHARAMAGUPT

Brahmagupta 7th century Mathematician discovered the law of gravity a thousand years before English scientist Isaac Newton did.

In 628 CE, Brahmagupta first described gravity as an attractive force.

After that in the 11th century, Bhaskara II stated the Law of Gravity in the book "Surya Siddhanta" in the 11th century and named "गुरुत्वाकर्षण" (Gravity). Surya Siddhanta was originally written by Aryabhatta, and Bhaskara II has also contributed to this.

Here are some of the slokas from his book "Surya Siddhanta" that mentions how gravitation works:

"मध्ये समन्तनदस्य भुगोलो व्योम्नि तिष्ठति बिभ्रणः परमं शक्तिं ब्राह्मणो धारणाात्मिकम्"

This means: The spherical earth stands at the centre of earth in space due to the dharanatmikam shakti which prevents earth from falling away and helps it to stand firm

"अक्र्स्ट शक्तिश्च मही तय यत् स्वस्थं गुरु स्वाभिमानं स्वसक्त्य अक्र्ष्यते तत्पततिव भाति समं समंतत् क्व पत्तव्यं खे"

This means: Every object falls on the ground due to earth's force of attraction. This force allows the sun, earth, moon and constellations to stay in orbit.

Introduction

In India, it is second nature to consult an astrologer who suggests an auspicious time of Muhurat for an important event. In other words, Astrology and Astronomy is a part of our life. Our calendar both the solar and the lunar calendar accurately calculate the festivals, moon phases, eclipses and many other happenings in not just our solar system, but also the cosmos or the Universe. What is impressive is that our ancient Astronomers and Astrologers used mathematics to calculate the auspicious timing for important events in our life.

One thing our ancient scientists were aware of was that there is an order/ logic in this huge expanse and vastness. It is this realization that led to the discoveries in Mathematics.

Who is Brahmagupta?

Brahmagupta ( 597- 668AD) was one such genius Astronomer - Mathematician. His father Jisnugupta was an Astrologer in the city of Bhinmal ( Rajasthan). Brahmagupta too considered himself an Astronomer however today he is remembered for his huge contributions to the field of Mathematics. By his admission, he did Mathematics or solved problems for pleasure!

Ujjain was the centre of Ancient Indian mathematical astronomy. Brahmagupta was the director of this centre. Brahmagupta wrote many textbooks for mathematics and astronomy while he was in Ujjain. These include ‘Durkeamynarda’ (672), ‘Khandakhadyaka’ (665), ‘Brahmasphutasiddhanta’ (628) and ‘Cadamakela’ (624). The ‘Brahmasphutasiddhanta’ meaning the ‘Corrected Treatise of Brahma’ is one of his well-known works.

Works of Brahmagupta

Brahmagupta, like all scholars in those times, wrote in elliptical verse.

Brahmasphutasiddhanta ((Brahma’s Correct System of Astronomy, or The Opening of the Universe.) written in 628 was his most famous work. This book has twenty-five chapters and a total of 1008 stanzas. Historians believe that the first ten were originally written by Brahmagupta because they are arranged like the typical mathematical astronomy texts in that period. It covers mean longitudes of the planets; true longitudes of the planets; the three problems of diurnal rotation; lunar eclipses; solar eclipses; risings and settings; the moon's crescent; the moon's shadow; conjunctions of the planets with each other; and conjunctions of the planets with the fixed stars.

The remaining fifteen chapters seem to form a second work which is a major addendum to the original treatise.

Brahmasphutasiddhanta is the earliest known text that treated zero as a number. The Greeks and Romans merely used symbols, and the Babylonians used a shell to represent nothing.

He gave the concept of positive numbers which he called wealth or dhan and negative numbers which he called debt or ऋण

Brahmagupta achievements

-Brahmagupta defined the properties of the number zero, which was crucial for the future of mathematics and science. Brahmagupta enumerated the properties of zero as:

★ When a number is subtracted from itself, we get a zero

★ Any number divided by zero will have the answer as zero

★ Zero divided by zero is equal to zero

-Discovered the formula to solve quadratic equations.

-Discovered the value of pi ( 3.162….) almost accurately. He put the value 0.66% higher than the true value. ( 3.14)

-With calculations, he indicated that Earth is nearer to the moon than the sun.

-Found a formula to calculate the area of any four-sided figure whose corners touch the inside of a circle.

-Calculated the length of a year is 365 days 6 hours 12 minutes 9 seconds.

-Brahmagupta talked about ‘gravity.’ To quote him, ‘Bodies fall towards the earth as it is in the nature of the earth to attract bodies, just as it is in the nature of water to flow.’

-Proved that the Earth is a sphere and calculated its circumference to be around 36,000 km (22,500 miles).

-Brahmagupta established rules for working with positive and negative numbers, such as:

Ø Negative + Negative number = Negative number

Ø Subtracting a Negative from a positive number is the same as adding the two numbers.

Ø Negative X Negative number = Positive number.

Ø Positive number ÷ Negative number = Negative number.