Brahmagupta was an Indian mathematician, born in AD in Bhinmal, a state of Rajhastan, India. He spent most of his life in Bhinmal which was under the rule. Brahmagupta was an Ancient Indian astronomer and mathematician who lived from AD to AD. He was born in the city of Bhinmal in Northwest India. Brahmagupta was a famous mathematician and astronomer who lived in seventh century India. His ideas were so profound that they still influence.
|Published (Last):||1 June 2016|
|PDF File Size:||14.19 Mb|
|ePub File Size:||12.62 Mb|
|Price:||Free* [*Free Regsitration Required]|
Any text you add should be original, not copied from other sources. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician…. He finds the volume of rectangular prisms, pyramids, and the frustum of a square pyramid.
His remaining eighteen sines are,,,, After giving the value of pi, brahmagupha deals with the geometry of plane figures and solids, such as finding volumes and brahmaguota areas or empty spaces dug out of solids. The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral.
Brahmagupta | Indian astronomer |
He also gave a valuable interpolation formula for computing sines. Brahmagupta was an orthodox Hindu, and his brahmagupt views, particularly the Hindu yuga system of measuring the ages of mankind, influenced his work.
Brahmagupta was an Indian astronomer and mathematician. The operations of multiplication and evolution the taking of rootsas well as bbiography quantities, were represented by abbreviations of appropriate words. He is believed to have written many works though only a few survive today. It is interesting to note also that the algebra of Brahmagupta, like that of Diophantus, was syncopated.
A triangle with rational sides abc and rational area is of the form:.
He was well-read in the five traditional siddhanthas on Indian astronomy, and also studied the work of other ancient astronomers such as Aryabhata I, Latadeva, Pradyumna, Varahamihira, Simha, Srisena, Vijayanandin and Vishnuchandra.
A Natural History of Zero. In chapter seven of his Brahmasphutasiddhantaentitled Lunar CrescentBrahmagupta rebuts the idea that the Moon is farther from the Earth than the Sun, an idea which had been suggested by Vedic scripture. We welcome suggested improvements to any of our articles. An orthodox Hindu, he took care not to antagonize his own religious leaders but was very bitter in criticizing the ideas advanced by rival astronomers hailing from the Jain religion.
Primarily a book of astronomy, it also contains several chapters on mathematics.
He posed the challenge to find a perfect square that, when multiplied by 92 and increased by 1, yields another perfect square. The perpendicular [altitude] is the square-root from the square of a side diminished by the square of its segment. Wikimedia Commons has media related to Brahmagupta.
Given the lengths of the sides of any cyclic quadrilateral, Brahmagupta gave an biograpyh and an exact formula for the figure’s area. Brahmagupta gave the solution of the general linear equation in chapter eighteen of Brahmasphutasiddhanta.
Bhillamala, called pi-lo-mo-lo by Xuanzangwas the apparent capital of the Gurjaradesathe second largest kingdom of Western India, comprising southern Rajasthan and northern Gujarat in modern-day India. Four such yuga s called Krita, Treta, Dvapara, and Kali, after the throws of an Indian game of dice make up the…. He continues to give formulas for the lengths and areas of geometric figures, such as the brahmagulta of an isosceles trapezoid and a scalene quadrilateral, and the lengths of diagonals in a scalene cyclic quadrilateral.
The next formula apparently deals with the volume of a frustum of a square pyramid, where the brahmagu;ta volume is the depth times the square of bbrahmagupta mean of the edges of the top and bottom faces, while the “superficial” volume is the depth times their mean area. At the end of a bright [i.
Brahmagupta lived in a time when it was thought that the sun and other planets revolved around the earth, but he was still able to give an accurate figure for the length of a year, days 6 hours 5 minutes and 19 seconds which he later revised to days 6 hours 12 minutes and 36 bioography. It was translated into Arabic in Baghdad about and had a major impact on Islamic mathematics and astronomy.
In addition to being an accomplished astronomer, he grahmagupta also a much revered mathematician. Little is known of these authors. The additive is equal to the product of the additives.
The astronomy included in these books deals with planetary movement and eclipses. View the Study Pack.