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People: Obeid Allah ibn al-Habhab al-Mawsili

Aryabhata is the author of several treatises …

Years: 508 - 519

Aryabhata is the author of several treatises on mathematics and astronomy, some of which are lost.

His major work, Aryabhatiya, a compendium of mathematics and astronomy, is extensively referred to in the Indian mathematical literature and has survived to modern times.

The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry, and spherical trigonometry.

It also contains continued fractions, quadratic equations, sums-of-power series, and a table of sines.

Aryabhata develops concepts of mathematical equations, one of which explains the rotation of the Earth on its axis, a concept far ahead of its time and described accurately.

He also develops other ideas about the Solar System but many of them are flawed, as he considers the Earth, not the Sun, to be the center of the universe.

Aryabhata is often given credit for inventing with the number zero and using it as a placeholder.

The Arya-siddhanta, a work on astronomical computations, is known through the writings of Aryabhata's contemporary, Varahamihira, and later mathematicians and commentators, including Brahmagupta and Bhaskara I.

This work appears to be based on the older Surya Siddhanta and uses the midnight-day reckoning, as opposed to sunrise in Aryabhatiya.

It also contains a description of several astronomical instruments: the gnomon (shanku-yantra), a shadow instrument (chhAyA-yantra), possibly angle-measuring devices, semicircular and circular (dhanur-yantra / chakra-yantra), a cylindrical stick yasti-yantra, an umbrella-shaped device called the chhatra-yantra, and water clocks of at least two types, bow-shaped and cylindrical.

A third text, which may have survived in the Arabic translation, is Al ntf or Al-nanf.

It claims that it is a translation by Aryabhata, but the Sanskrit name of this work is not known.

Probably dating from the ninth century, it is mentioned by the Persian scholar and chronicler of India, Abū Rayhān al-Bīrūnī.

His definitions of sine (jya), cosine (kojya), versine (utkrama-jya), and inverse sine (otkram jya) influenced the birth of trigonometry.

He was also the first to specify sine and versine (1 − cos x) tables, in 3.75° intervals from 0° to 90°, to an accuracy of four decimal places.

In fact, modern names "sine" and "cosine" are mistranscriptions of the words jya and kojya as introduced by Aryabhata.

As mentioned, they were translated as jiba and kojiba in Arabic and then misunderstood by Gerard of Cremona while translating an Arabic geometry text to Latin.

He assumed that jiba was the Arabic word jaib, which means "fold in a garment", L. sinus (about 1150).

Aryabhata's astronomical calculation methods were also very influential.

Along with the trigonometric tables, they came to be widely used in the Islamic world and used to compute many Arabic astronomical tables (zijes).

In particular, the astronomical tables in the work of the Arabic Spain scientist Al-Zarqali (eleventh century) were translated into Latin as the Tables of Toledo (twelfth century) and remained the most accurate ephemeris used in Europe for centuries.

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