๐จ๐น๐๐จ๐ฉ๐ฏ๐จ๐ป๐ป๐จ
Aryabhatta was the first major mathematician and astronomer from the classical age of India.
His works include ๐๐ซ๐ฒ๐๐๐ก๐๐ญ๐ข๐ฒ๐ ๐๐ง๐ ๐ญ๐ก๐ ๐๐ซ๐ฒ๐-๐๐ข๐๐๐ก๐๐ง๐ญ๐.His most famous work was compiled when he was just 23 years old.
โAyrabhatiyaโ 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 ๐๐ฉ๐ฉ๐ซ๐จ๐ฑ๐ข๐ฆ๐๐ญ๐ข๐จ๐ง ๐จ๐ ๐ฉ๐ข.
He was the first mathematician to give what later came to be known as the ๐ญ๐๐๐ฅ๐๐ฌ ๐จ๐ ๐ฌ๐ข๐ง๐, ๐๐จ๐ฌ๐ข๐ง๐ ๐๐ง๐ ๐๐จ๐ง๐ฏ๐๐ซ๐ฌ๐ ๐ฌ๐ข๐ง๐ ๐ญ๐จ ๐๐จ๐ฎ๐ซ ๐๐๐๐ข๐ฆ๐๐ฅ ๐ฌ๐ฉ๐จ๐ญ๐ฌ,which brought forth ๐ญ๐ซ๐ข๐ ๐จ๐ง๐จ๐ฆ๐๐ญ๐ซ๐ฒ.
Aryabhatta has ๐ง๐๐ฆ๐๐ ๐ญ๐ก๐ ๐ข๐ง๐ข๐ญ๐ข๐๐ฅ ๐๐ ๐๐๐๐ข๐ฆ๐๐ฅ ๐ฉ๐ฅ๐๐๐๐ฌ and derived the methods for ๐๐ฑ๐ญ๐ซ๐๐๐ญ๐ข๐ง๐ ๐ฌ๐ช๐ฎ๐๐ซ๐ ๐ซ๐จ๐จ๐ญ๐ฌ, summing arithmetic series and solving indeterminate equations of the type ax โ by = c.
Aryabhatta worked on the place value system and ๐๐ข๐ฌ๐๐จ๐ฏ๐๐ซ๐๐ ๐ณ๐๐ซ๐จ ๐๐จ๐ซ ๐ญ๐ก๐ ๐๐ข๐ซ๐ฌ๐ญ ๐ญ๐ข๐ฆ๐, making use of letters to indicate numbers and pointing out qualities.
He ๐ฌ๐ญ๐๐ญ๐๐ ๐๐จ๐ซ๐ซ๐๐๐ญ๐ฅ๐ฒ ๐ญ๐ก๐ ๐ง๐ฎ๐ฆ๐๐๐ซ ๐จ๐ ๐๐๐ฒ๐ฌ ๐ข๐ง ๐ ๐ฒ๐๐๐ซ ๐ญ๐จ ๐๐ ๐๐๐, ๐๐ฅ๐จ๐ง๐ ๐ฌ๐ข๐๐ ๐ญ๐ก๐ ๐ฌ๐๐ฏ๐๐ง-๐๐๐ฒ ๐ฐ๐๐๐ค and about an intercalary month embedded into a year to make the calendar adjust to the seasons.
He discovered the ๐ฉ๐จ๐ฌ๐ข๐ญ๐ข๐จ๐ง ๐จ๐ ๐ง๐ข๐ง๐ ๐ฉ๐ฅ๐๐ง๐๐ญ๐ฌ and expressed that these likewise ๐ซ๐จ๐ญ๐๐ญ๐๐ ๐๐ซ๐จ๐ฎ๐ง๐ ๐ญ๐ก๐ ๐ฌ๐ฎ๐ง.
He also provided the ๐๐ข๐ซ๐๐ฎ๐ฆ๐๐๐ซ๐๐ง๐๐ ๐๐ง๐ ๐ฆ๐๐๐ฌ๐ฎ๐ซ๐๐ฆ๐๐ง๐ญ ๐จ๐ ๐ญ๐ก๐ ๐๐๐ซ๐ญ๐ก ๐๐ง๐ ๐ญ๐ก๐ ๐ซ๐๐๐ข๐ฎ๐ฌ ๐จ๐ ๐ญ๐ก๐ ๐จ๐ซ๐๐ข๐ญ๐ฌ ๐จ๐ ๐ ๐ฉ๐ฅ๐๐ง๐๐ญ๐ฌ.
Aryabhatta challenged many superstitious theories. Aryabhatta also gave a ๐ญ๐ก๐๐จ๐ซ๐ฒ ๐จ๐ง ๐๐๐ฅ๐ข๐ฉ๐ฌ๐; he said it wasnโt because of Rahu, but because of shadows cast by the earth and moon.
Aryabhatta pronounced that the ๐ฉ๐ซ๐จ๐ง๐จ๐ฎ๐ง๐๐๐ ๐ญ๐ก๐๐ญ ๐ญ๐ก๐ ๐ฆ๐จ๐จ๐ง ๐ก๐๐ฌ ๐ง๐จ ๐ฅ๐ข๐ ๐ก๐ญ ๐จ๐ ๐ข๐ญ๐ฌ ๐จ๐ฐ๐ง. It is visible because it mirrors the light of the sun.
He ๐๐จ๐ง๐๐ฅ๐ฎ๐๐๐ ๐ญ๐ก๐๐ญ ๐ญ๐ก๐ ๐๐๐ซ๐ญ๐ก ๐ข๐ฌ ๐ซ๐จ๐ฎ๐ง๐. He also stated that ๐ข๐ญ ๐ซ๐จ๐ญ๐๐ญ๐๐ฌ ๐จ๐ง ๐ข๐ญ๐ฌ ๐จ๐ฐ๐ง ๐๐ฑ๐ข๐ฌ, ๐ฐ๐ก๐ข๐๐ก ๐ข๐ฌ ๐ฐ๐ก๐ฒ ๐ฐ๐ ๐ก๐๐ฏ๐ ๐๐๐ฒ๐ฌ ๐๐ง๐ ๐ง๐ข๐ ๐ก๐ญ๐ฌ.
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, โ๐๐ซ๐ฒ๐๐๐ก๐๐ญ๐ญ๐-๐๐ข๐๐๐ก๐๐ง๐ญ๐โ. Itโs a booklet for every day astronomical calculations as well as a ๐ ๐ฎ๐ข๐๐ ๐ญ๐จ ๐๐ฑ๐๐ฆ๐ข๐ง๐ ๐๐ฎ๐ฌ๐ฉ๐ข๐๐ข๐จ๐ฎ๐ฌ ๐ญ๐ข๐ฆ๐๐ฌ ๐๐จ๐ซ ๐ฉ๐๐ซ๐๐จ๐ซ๐ฆ๐ข๐ง๐ ๐ซ๐ข๐ญ๐ฎ๐๐ฅ๐ฌ. To this very day, astronomical data provided in ๐ญ๐ก๐ข๐ฌ ๐ญ๐๐ฑ๐ญ ๐ข๐ฌ ๐ฎ๐ฌ๐๐ ๐๐จ๐ซ ๐ฉ๐ซ๐๐ฉ๐๐ซ๐ข๐ง๐ ๐๐๐ง๐๐ก๐๐ง๐ ๐ฌ (๐๐ข๐ง๐๐ฎ ๐๐๐ฅ๐๐ง๐๐๐ซ๐ฌ).
๐๐ง๐๐ข๐โ๐ฌ ๐๐ข๐ซ๐ฌ๐ญ ๐ฌ๐๐ญ๐๐ฅ๐ฅ๐ข๐ญ๐ ๐๐ซ๐ฒ๐๐๐ก๐๐ญ๐ญ๐ ๐ฐ๐๐ฌ ๐ง๐๐ฆ๐๐ ๐๐๐ญ๐๐ซ ๐ก๐ข๐ฆ.There is also an Indian research center is called โ๐๐ซ๐ฒ๐๐๐ก๐๐ญ๐ญ๐ ๐๐๐ฌ๐๐๐ซ๐๐ก ๐๐ง๐ฌ๐ญ๐ข๐ญ๐ฎ๐ญ๐ ๐จ๐ ๐๐๐ฌ๐๐ซ๐ฏ๐๐ญ๐ข๐จ๐ง๐๐ฅ ๐๐๐ข๐๐ง๐๐๐ฌโ.
Namaskar to the man who made such advanced discoveries back in the day when half of the world wasnโt even civilized.
Source :ย #๐๐๐๐๐๐๐๐๐๐๐๐๐
๐๐ฅ๐๐๐ฌ๐ ๐๐จ๐ฅ๐ฅ๐จ๐ฐ ๐ฎ๐ฌ @๐ฌ๐๐ง๐๐๐ญ๐๐ง๐ญ๐๐ฅ๐๐ฌ ๐จ๐ง ๐ ๐๐๐๐๐จ๐จ๐ค, ๐๐ง๐ฌ๐ญ๐๐ ๐ซ๐๐ฆ, ๐๐ฐ๐ข๐ญ๐ญ๐๐ซ & ๐๐จ๐จ