Brahmagupta images

By Lillie Therieau ‍ While not much is known about the life of ancient Indian mathematician Brahamagupta, his contributions to math, astronomy, and science have shaped the modern world. He was one of the first mathematicians to explore the properties of the number zero, and the first to record his ideas about it in writing. ‍ He’s also credited with important astronomical discoveries like the fact that the Moon is closer to Earth than the Sun. Remarkably, he set his complex math and science ideas out in a book composed entirely in metered poetic verse! ‍ Learning about this extraordinary thinker, you’ll be shocked at the number of discoveries he made that inform our everyday lives. You’ll also get an underrepresented peek into the world of ancient Indian mathematicians and astronomers, whose prolific work put the ancient Greeks to shame. The Mysterious Life of Brahmagupta ‍ Unfortunately, not much is known about the details of Brahmagupta’s personal life. The only surviving records which describe him focus mainly on his mathematical and scientific contributions. However, we do know that Brahmagupta was born in 598 CE in Bhillamala, in the Gurjaradesa region of India. He was a Hindu, and a Shaivite specifically. Shaivism is still one of the largest denominations of Hinduism and adherents worship the god Shiva as the supreme ruler. ‍ Bhillamala was the capital of the Gurjaradesa region and one of the biggest cities in India at the time. It was a beacon for academics througho...

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Brahmagupta's Formula for the Area of a Cyclic Quadrilateral Brahmagupta's Formula Problem: Develop a proof for Brahmagupta's Formula. Who was Brahmagupta? Brahmagupta's formula provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral that is inscribed in a circle) with sides of length a, b, c, and d as where s is the semiperimeter Note: There are alternative approaches to this proof. The one outlined below is intuitive and elementary, but becomes tedious. A more elegant approach is available using trigonometry. The use of If ABCD is a rectangle the formula is clear. Consider the chord AC. The angle that subtends a chord has measure that is half the measure of the intercepted arc. But the chord AC is simultaneously subtended by the angle at B and by the angle at D. There for the sum of these angles is 180 degrees. Opposite angles of a cyclic quadrilateral are supplemental. Assume the quadrilateral is not a rectangle. WNLOG, extend AB and CD until they meet at P. Label the extensions outside the circle e and f. Now, triangles PBC and PDA are similar. Further, the ratio of similarity is d/b. Therefore the ratio of similarity of their areas is the square of this ratio, or, Now the area of the quadrilateral ABCD is the area of the larger triangle PBC less the area of the smaller triangle PDA. If A is the area of the quadrilateral and T is the area of triangle PBC or Now, 1. Heron's formula can be used to express the area of triangle PBC 2. The similarity of ...

Brahmagupta's Brahmasphutasiddhanta (Volume 4 In Sanskrit) Correctly Established Doctrine of Brahma Chapters 17-24 Written c. 628, in Sanskrit, it contains ideas including a good understanding of the mathematical role of zero, rules for manipulating both negative and positive numbers. It also contains a method for computing square roots, methods of solving linear and some quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta’s theorem. The book was written completely in verse. ============== I am seeking verses 18.30-35 and hope a kind person will type the Sanskrit for me and translate it ACCURATELY into English. Thank you. Jonathan Crabtree Mathematics Researcher Melbourne Australia http://linkedin.com/in/jonathancrabtree (Currently over at http://bit.ly/Vrrx9Q) See also http://archive.org/details/Brahmasphutasiddhanta_Vol_3 http://archive.org/details/Brahmasphutasiddhanta_Vol_2 http://archive.org/details/Brahmasphutasiddhanta_Vol_1

Lived c. 210 – c. 295 AD. Diophantus is known as the father of algebra. Roughly five centuries after Euclid’s era, he solved hundreds of algebraic equations in his great work Arithmetica, and was the first person to use algebraic notation and symbolism. Today we usually indicate the unknown quantity in algebraic equations with the letter x. In the oldest copies of Arithmetica the unknown quantity is indicated by a character similar to an accented Greek letter sigma: ς’. Arithmetica inspired some of the world’s greatest mathematicians including Leonhard Euler and Pierre de Fermat to make significant new discoveries. Advertisements The Life of Diophantus Diophantus (pronounced dy-o-Fant-us) flourished during the third century AD in the Greco-Roman city of Alexandria in Egypt. Like other educated people in the Eastern Mediterranean at that time he was a Greek speaker. We do not know what he looked like. The years of his birth and death are highly uncertain. The little we know about Diophantus’ life comes from a word puzzle reputed to be his epitaph. Presumably it was written by a friend who knew Diophantus’ life story and who wished to give him a fittingly algebraic memorial. The epitaph is known to us through the Greek author Metrodorus who recorded it in his anthology of puzzles in about the sixth century. A 1941 translation of the epitaph by Ivor Thomas says: This tomb holds Diophantus. Ah, what a marvel. And the tomb tells scientifically the measure of his life. God vouch...

• • • • • • • • • • • • • • • • • Brahmagupta Life History: Few of the Important events in the life of Braphmagupta: • Brahmagupta was born in Bhillamala, which is now Bhinmal in 598 CE. He followed Hinduism. He spent most of his childhood days in Bhillamala.He was born when the Chavda dynasty was ruling the dynasty. • He researched on astronomy and worked as an astronomer for Brahmapakshaschool. It was one of the most famous Indian astronomy schools in India during that era. He studied Indian astronomy traditional, which is siddhanthas. • He studied the works of great Mathematicians and astronomers like Aryabhata I, Varahamihira, Srisena, Vijayanandin Latadeva, Pradyumna, Simha and Vishnuchandra. • When he was 30 years old, in 628 BC, he wrote the Brāhmasphuṭasiddhāntawhich revised version of siddhanthasof the which he studied in Brahmapaksha school. He has added a lot of new things to the book. • Later, to do more research on astronomy he moved to Ujjain. Ujjain is said to be one of the best places to research astronomy. • At the age of 67, he wrote Khanda-khādyakafor his students. This book of his served as a practical manual of Indian Astronomy. • He spent the last days of his life in Ujjain and died in 665 CE. Brahmagupta Books Few of the famous books written by Brahmagupta are: • Algebra, with Arithmetic and Mensuration • Brāhmasphuṭasiddhānta • Brahmaguptaganitam • Classics of Indian Mathematics • Khandakhadyaka Contributions of Brahmagupta in Mathematics Few of the...

Brahmagupta's Brahmasphutasiddhanta (Volume 4 In Sanskrit) Correctly Established Doctrine of Brahma Chapters 17-24 Written c. 628, in Sanskrit, it contains ideas including a good understanding of the mathematical role of zero, rules for manipulating both negative and positive numbers. It also contains a method for computing square roots, methods of solving linear and some quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta’s theorem. The book was written completely in verse. ============== I am seeking verses 18.30-35 and hope a kind person will type the Sanskrit for me and translate it ACCURATELY into English. Thank you. Jonathan Crabtree Mathematics Researcher Melbourne Australia http://linkedin.com/in/jonathancrabtree (Currently over at http://bit.ly/Vrrx9Q) See also http://archive.org/details/Brahmasphutasiddhanta_Vol_3 http://archive.org/details/Brahmasphutasiddhanta_Vol_2 http://archive.org/details/Brahmasphutasiddhanta_Vol_1

By Lillie Therieau ‍ While not much is known about the life of ancient Indian mathematician Brahamagupta, his contributions to math, astronomy, and science have shaped the modern world. He was one of the first mathematicians to explore the properties of the number zero, and the first to record his ideas about it in writing. ‍ He’s also credited with important astronomical discoveries like the fact that the Moon is closer to Earth than the Sun. Remarkably, he set his complex math and science ideas out in a book composed entirely in metered poetic verse! ‍ Learning about this extraordinary thinker, you’ll be shocked at the number of discoveries he made that inform our everyday lives. You’ll also get an underrepresented peek into the world of ancient Indian mathematicians and astronomers, whose prolific work put the ancient Greeks to shame. The Mysterious Life of Brahmagupta ‍ Unfortunately, not much is known about the details of Brahmagupta’s personal life. The only surviving records which describe him focus mainly on his mathematical and scientific contributions. However, we do know that Brahmagupta was born in 598 CE in Bhillamala, in the Gurjaradesa region of India. He was a Hindu, and a Shaivite specifically. Shaivism is still one of the largest denominations of Hinduism and adherents worship the god Shiva as the supreme ruler. ‍ Bhillamala was the capital of the Gurjaradesa region and one of the biggest cities in India at the time. It was a beacon for academics througho...

Brahmagupta; Brahmagupta; Brahmagupta; Brahmagupta; Brahmagupta; Брахмагупта; Brahmagupta; برہما گپتا; 婆羅摩笈多; Brahmagupta; Brahmagupta; 婆罗摩笈多; Брамагупта; ಬ್ರಹ್ಮಗುಪ್ತ; 婆羅摩笈多; 婆罗摩笈多; Brahmagupta; Braxmagupta; ব্ৰহ্মগুপ্ত; Brahmagupta; Brahmagupta; Brahmagupta; Brahmagupta; ব্রহ্মগুপ্ত; Brahmagupta; Bramagupta; Brahmagupta; Brahmagupta; Brahmagupta; Brahmagupta; בראַהמאַגופטאַ; ब्रह्मगुप्त; Брахмагупта; Brahmagupta; برهماگوپتا; Brahmagupta; Brahmagupta; Брамагупта; 婆羅摩笈多; برہما گپتا; Brahmagupta; 婆罗摩笈多; Brahmagupta; Brahmagupta; Brahmagupta; Brahmaqupta; Brahmagupta; Brahmagupta; ಬ್ರಹ್ಮಗುಪ್ತ; براھماگوپتا; Brahmagupta; براهماغوبتا; Brahmagupta; Brahmagupta; Brahmagupta; 婆羅摩笈多; Brahmagupta; બ્રહ્મગુપ્ત; Brahmagupta; Brahmagupta; ब्रह्मगुप्त; Brahmagupta; Brahmagupta; Брахмагупта; Brahmagupta; Brahmagupta; Brahmagupta; Брамагупта; 婆羅摩笈多; Brahmagupta; ბრაჰმაგუფთა; ブラーマグプタ; Brahmagupta; ब्रह्मगुप्त; براهماجوبتا; Brahmagupta; בראהמגופטה; Brachmacottus; ब्रह्मगुप्तः; ब्रह्मगुप्त; ᱵᱨᱚᱢᱦᱚᱜᱩᱯᱛᱚ; Brahmagupta; Brahmagupta; Brahmagupta; Brahmagupta; பிரம்மகுப்தர்; Brahmagupta; Браҳмагупта; ਬ੍ਰਹਮਗੁਪਤ; Բրահմագուպտա; Брагмагупта; Brahmagupta; Brahmagupta; ब्रह्मगुप्त; Brahmagupta; 婆羅摩笈多; Brahmagupta; Bramagupta; برهماقوپتا; ବ୍ରହ୍ମଗୁପ୍ତ; బ్రహ్మగుప్తుడు; Brahmagupta; Brahmagupta; Brahmagupta; Брахмагупта; Brahmagupta; Brahmagupta; Brahmagupta; ബ്രഹ്മഗുപ്തൻ; Brahmagupta; Brahmagupta; 브라마굽타; Брахмагупта; Брамагупта; Brahmagupta; Брахмагупта; Βραχμαγκούπτα; Brahmagupta; ókori indiai matematikus;...

Lived c. 210 – c. 295 AD. Diophantus is known as the father of algebra. Roughly five centuries after Euclid’s era, he solved hundreds of algebraic equations in his great work Arithmetica, and was the first person to use algebraic notation and symbolism. Today we usually indicate the unknown quantity in algebraic equations with the letter x. In the oldest copies of Arithmetica the unknown quantity is indicated by a character similar to an accented Greek letter sigma: ς’. Arithmetica inspired some of the world’s greatest mathematicians including Leonhard Euler and Pierre de Fermat to make significant new discoveries. Advertisements The Life of Diophantus Diophantus (pronounced dy-o-Fant-us) flourished during the third century AD in the Greco-Roman city of Alexandria in Egypt. Like other educated people in the Eastern Mediterranean at that time he was a Greek speaker. We do not know what he looked like. The years of his birth and death are highly uncertain. The little we know about Diophantus’ life comes from a word puzzle reputed to be his epitaph. Presumably it was written by a friend who knew Diophantus’ life story and who wished to give him a fittingly algebraic memorial. The epitaph is known to us through the Greek author Metrodorus who recorded it in his anthology of puzzles in about the sixth century. A 1941 translation of the epitaph by Ivor Thomas says: This tomb holds Diophantus. Ah, what a marvel. And the tomb tells scientifically the measure of his life. God vouch...