Aryabhatta was the first major mathematician and astronomer from the classical age of India.
His works include 𝐀𝐫𝐲𝐚𝐛𝐡𝐚𝐭𝐢𝐲𝐚 𝐚𝐧𝐝 𝐭𝐡𝐞 𝐀𝐫𝐲𝐚-𝐒𝐢𝐝𝐝𝐡𝐚𝐧𝐭𝐚.His most famous work was compiled when he was just 23 years old.
‘Ayrabhatiya’ covers several branches of mathematics such as algebra, arithmetic, plane and spherical trigonometry.
His principal focus was mathematics; he went into extraordinary insight about arithmetic and geometric movements like 2, 4, 6, and 8 or 2, 10, 50, and 250.
He formulated a brilliant technique for finding the lengths of chords of circles with half chords as opposed to the full chord strategy utilized by the Greeks.
He came up with an 𝐚𝐩𝐩𝐫𝐨𝐱𝐢𝐦𝐚𝐭𝐢𝐨𝐧 𝐨𝐟 𝐩𝐢.
He was the first mathematician to give what later came to be known as the 𝐭𝐚𝐛𝐥𝐞𝐬 𝐨𝐟 𝐬𝐢𝐧𝐞, 𝐜𝐨𝐬𝐢𝐧𝐞 𝐚𝐧𝐝 𝐜𝐨𝐧𝐯𝐞𝐫𝐬𝐞 𝐬𝐢𝐧𝐞 𝐭𝐨 𝐟𝐨𝐮𝐫 𝐝𝐞𝐜𝐢𝐦𝐚𝐥 𝐬𝐩𝐨𝐭𝐬,which brought forth 𝐭𝐫𝐢𝐠𝐨𝐧𝐨𝐦𝐞𝐭𝐫𝐲.
Aryabhatta has 𝐧𝐚𝐦𝐞𝐝 𝐭𝐡𝐞 𝐢𝐧𝐢𝐭𝐢𝐚𝐥 𝟏𝟎 𝐝𝐞𝐜𝐢𝐦𝐚𝐥 𝐩𝐥𝐚𝐜𝐞𝐬 and derived the methods for 𝐞𝐱𝐭𝐫𝐚𝐜𝐭𝐢𝐧𝐠 𝐬𝐪𝐮𝐚𝐫𝐞 𝐫𝐨𝐨𝐭𝐬, summing arithmetic series and solving indeterminate equations of the type ax – by = c.
Aryabhatta worked on the place value system and 𝐝𝐢𝐬𝐜𝐨𝐯𝐞𝐫𝐞𝐝 𝐳𝐞𝐫𝐨 𝐟𝐨𝐫 𝐭𝐡𝐞 𝐟𝐢𝐫𝐬𝐭 𝐭𝐢𝐦𝐞, making use of letters to indicate numbers and pointing out qualities.
He 𝐬𝐭𝐚𝐭𝐞𝐝 𝐜𝐨𝐫𝐫𝐞𝐜𝐭𝐥𝐲 𝐭𝐡𝐞 𝐧𝐮𝐦𝐛𝐞𝐫 𝐨𝐟 𝐝𝐚𝐲𝐬 𝐢𝐧 𝐚 𝐲𝐞𝐚𝐫 𝐭𝐨 𝐛𝐞 𝟑𝟔𝟓, 𝐚𝐥𝐨𝐧𝐠𝐬𝐢𝐝𝐞 𝐭𝐡𝐞 𝐬𝐞𝐯𝐞𝐧-𝐝𝐚𝐲 𝐰𝐞𝐞𝐤 and about an intercalary month embedded into a year to make the calendar adjust to the seasons.
He discovered the 𝐩𝐨𝐬𝐢𝐭𝐢𝐨𝐧 𝐨𝐟 𝐧𝐢𝐧𝐞 𝐩𝐥𝐚𝐧𝐞𝐭𝐬 and expressed that these likewise 𝐫𝐨𝐭𝐚𝐭𝐞𝐝 𝐚𝐫𝐨𝐮𝐧𝐝 𝐭𝐡𝐞 𝐬𝐮𝐧.
He also provided the 𝐜𝐢𝐫𝐜𝐮𝐦𝐟𝐞𝐫𝐞𝐧𝐜𝐞 𝐚𝐧𝐝 𝐦𝐞𝐚𝐬𝐮𝐫𝐞𝐦𝐞𝐧𝐭 𝐨𝐟 𝐭𝐡𝐞 𝐄𝐚𝐫𝐭𝐡 𝐚𝐧𝐝 𝐭𝐡𝐞 𝐫𝐚𝐝𝐢𝐮𝐬 𝐨𝐟 𝐭𝐡𝐞 𝐨𝐫𝐛𝐢𝐭𝐬 𝐨𝐟 𝟗 𝐩𝐥𝐚𝐧𝐞𝐭𝐬.
Aryabhatta challenged many superstitious theories. Aryabhatta also gave a 𝐭𝐡𝐞𝐨𝐫𝐲 𝐨𝐧 𝐞𝐜𝐥𝐢𝐩𝐬𝐞; he said it wasn’t because of Rahu, but because of shadows cast by the earth and moon.
Aryabhatta pronounced that the 𝐩𝐫𝐨𝐧𝐨𝐮𝐧𝐜𝐞𝐝 𝐭𝐡𝐚𝐭 𝐭𝐡𝐞 𝐦𝐨𝐨𝐧 𝐡𝐚𝐬 𝐧𝐨 𝐥𝐢𝐠𝐡𝐭 𝐨𝐟 𝐢𝐭𝐬 𝐨𝐰𝐧. It is visible because it mirrors the light of the sun.
He 𝐜𝐨𝐧𝐜𝐥𝐮𝐝𝐞𝐝 𝐭𝐡𝐚𝐭 𝐭𝐡𝐞 𝐞𝐚𝐫𝐭𝐡 𝐢𝐬 𝐫𝐨𝐮𝐧𝐝. He also stated that 𝐢𝐭 𝐫𝐨𝐭𝐚𝐭𝐞𝐬 𝐨𝐧 𝐢𝐭𝐬 𝐨𝐰𝐧 𝐚𝐱𝐢𝐬, 𝐰𝐡𝐢𝐜𝐡 𝐢𝐬 𝐰𝐡𝐲 𝐰𝐞 𝐡𝐚𝐯𝐞 𝐝𝐚𝐲𝐬 𝐚𝐧𝐝 𝐧𝐢𝐠𝐡𝐭𝐬.
Another discipline Aryabhatta explored was astronomy; he concentrated on a few geometric and trigonometric parts of the celestial sphere that are still used to study stars.
In his old age, Aryabhatta composed another treatise, ‘𝐀𝐫𝐲𝐚𝐛𝐡𝐚𝐭𝐭𝐚-𝐒𝐢𝐝𝐝𝐡𝐚𝐧𝐭𝐚’. It’s a booklet for every day astronomical calculations as well as a 𝐠𝐮𝐢𝐝𝐞 𝐭𝐨 𝐞𝐱𝐚𝐦𝐢𝐧𝐞 𝐚𝐮𝐬𝐩𝐢𝐜𝐢𝐨𝐮𝐬 𝐭𝐢𝐦𝐞𝐬 𝐟𝐨𝐫 𝐩𝐞𝐫𝐟𝐨𝐫𝐦𝐢𝐧𝐠 𝐫𝐢𝐭𝐮𝐚𝐥𝐬. To this very day, astronomical data provided in 𝐭𝐡𝐢𝐬 𝐭𝐞𝐱𝐭 𝐢𝐬 𝐮𝐬𝐞𝐝 𝐟𝐨𝐫 𝐩𝐫𝐞𝐩𝐚𝐫𝐢𝐧𝐠 𝐏𝐚𝐧𝐜𝐡𝐚𝐧𝐠𝐬 (𝐇𝐢𝐧𝐝𝐮 𝐜𝐚𝐥𝐞𝐧𝐝𝐚𝐫𝐬).
𝐈𝐧𝐝𝐢𝐚’𝐬 𝐟𝐢𝐫𝐬𝐭 𝐬𝐚𝐭𝐞𝐥𝐥𝐢𝐭𝐞 𝐀𝐫𝐲𝐚𝐛𝐡𝐚𝐭𝐭𝐚 𝐰𝐚𝐬 𝐧𝐚𝐦𝐞𝐝 𝐚𝐟𝐭𝐞𝐫 𝐡𝐢𝐦.There is also an Indian research center is called ‘𝐀𝐫𝐲𝐚𝐛𝐡𝐚𝐭𝐭𝐚 𝐑𝐞𝐬𝐞𝐚𝐫𝐜𝐡 𝐈𝐧𝐬𝐭𝐢𝐭𝐮𝐭𝐞 𝐨𝐟 𝐎𝐛𝐬𝐞𝐫𝐯𝐚𝐭𝐢𝐨𝐧𝐚𝐥 𝐒𝐜𝐢𝐞𝐧𝐜𝐞𝐬’.
Namaskar to the man who made such advanced discoveries back in the day when half of the world wasn’t even civilized.
Source : #𝐒𝐀𝐍𝐀𝐀𝐓𝐀𝐍𝐓𝐀𝐋𝐄𝐒
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