can someone tell me about the lifestyle of aryabhatta
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Answer:
A verse mentions that Aryabhata was the head of an institution (kulapa) at Kusumapura. Since, the University of Nalanda was in Pataliputra, and had an astronomical observatory; it is probable that he was its head too.
Direct details of his work are known only from the Aryabhatiya. His disciple Bhaskara I calls it Ashmakatantra (or the treatise from the Ashmaka).
The Aryabhatiya is also occasionally referred to as Arya-shatas-aShTa (literally, Aryabhata’s 108), because there are 108 verses in the text. It also has 13 introductory verses, and is divided into four pādas or chapters.
Aryabhatiya’s first chapter, Gitikapada, with its large units of time — kalpa, manvantra, and Yuga — introduces a different cosmology. The duration of the planetary revolutions during a mahayuga is given as 4.32 million years.
Ganitapada, the second chapter of Aryabhatiya has 33 verses covering mensuration (kṣetra vyāvahāra), arithmetic and geometric progressions, gnomon or shadows (shanku-chhAyA), simple, quadratic, simultaneous, and indeterminate equations.
Aryabhatiya’s third chapter Kalakriyapada explains different units of time, a method for determining the positions of planets for a given day, and a seven-day week with names for the days of week.
The last chapter of the Aryabhatiya, Golapada describes Geometric/trigonometric aspects of the celestial sphere, features of the ecliptic, celestial equator, shape of the earth, cause of day and night, and zodiacal signs on horizon.
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He did not use a symbol for zero; its knowledge was implicit in his place-value system as a place holder for the powers of ten with null coefficients.
He did not use the Brahmi numerals, and continued the Sanskritic tradition from Vedic times of using letters of the alphabet to denote numbers, expressing quantities in a mnemonic form.
He worked on the approximation for pi thus — add four to 100, multiply by eight, and then add 62,000, the circumference of a circle with a diameter of 20,000 can be approached.
It is speculated that Aryabhata used the word āsanna (approaching), to mean that not only is this an approximation, but that the value is incommensurable or irrational.
In Ganitapada, he gives the area of a triangle as: “for a triangle, the result of a perpendicular with the half-side is the area”. He discussed ‘sine’ by the name of ardha-jya or half-chord.
Like other ancient Indian mathematicians, he too was interested in finding integer solutions to Diophantine equations with the form ax + by = c; he called it the kuṭṭaka (meaning breaking into pieces) method.
Answer:
Answer:
ᴀʀʏᴀʙʜᴀᴛᴀ ᴏʀ ᴀʀʏᴀʙʜᴀᴛᴀ ɪ ᴡᴀs ᴛʜᴇ ғɪʀsᴛ ᴏғ ᴛʜᴇ ᴍᴀᴊᴏʀ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄɪᴀɴ-ᴀsᴛʀᴏɴᴏᴍᴇʀs ғʀᴏᴍ ᴛʜᴇ ᴄʟᴀssɪᴄᴀʟ ᴀɢᴇ ᴏғ ɪɴᴅɪᴀɴ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs ᴀɴᴅ ɪɴᴅɪᴀɴ ᴀsᴛʀᴏɴᴏᴍʏ. ʜɪs ᴡᴏʀᴋs ɪɴᴄʟᴜᴅᴇ ᴀʀʏᴀ-sɪᴅᴅʜᴀɴᴛᴀ. ғᴏʀ ʜɪs ᴇxᴘʟɪᴄɪᴛ ᴍᴇɴᴛɪᴏɴ ᴏғ ᴛʜᴇ ʀᴇʟᴀᴛɪᴠɪᴛʏ ᴏғ ᴍᴏᴛɪᴏɴ, ʜᴇ ᴀʟsᴏ ϙᴜᴀʟɪғɪᴇs ᴀs ᴀ ᴍᴀᴊᴏʀ ᴇᴀʀʟʏ ᴘʜʏsɪᴄɪsᴛ.