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Question

Which of the following works is not composed by Aryabhatta ?

The correct answer is

Bramhasiddhanta

Understanding Ancient Indian Works: Identifying the Author

The question asks us to identify which of the listed works was not composed by the famous ancient Indian mathematician and astronomer, Aryabhatta (specifically, Aryabhatta I, the author of the Aryabhatiya). Let's examine each option provided to determine its author.

Analyzing the Works and Authors

We need to determine the composer for each given work:

  1. Aryabhattiya: This is the most famous work of Aryabhatta I. It is a concise text covering mathematics and astronomy. It is definitively composed by Aryabhatta.
  2. Aryashtasata: This term often refers to the core part of the Aryabhatiya, specifically the astronomical section which contains 108 verses. Since it's part of or refers to the Aryabhatiya, it is also attributed to Aryabhatta. The name 'Ashtasata' relates to '108'.
  3. Bramhasiddhanta: This major treatise is a key work in Indian mathematics and astronomy, but it was composed by another prominent ancient Indian scholar, Brahmagupta (specifically, the *Brahmasphutasiddhanta* by Brahmagupta). It is not a work by Aryabhatta.
  4. Dasgitika Sutra: This is actually the first section of Aryabhatta's magnum opus, the Aryabhatiya. It consists of 10 verses (Dasagitika means 'ten verses') summarizing the planetary model and large cosmological time cycles. As it is part of the Aryabhatiya, it was composed by Aryabhatta.

Based on this analysis, the work that was not composed by Aryabhatta is Bramhasiddhanta, which was composed by Brahmagupta.

Summary Table of Works and Authors

Here is a table summarizing the works and their authors:

Work Author Composed by Aryabhatta?
Aryabhattiya Aryabhatta I Yes
Aryashtasata Aryabhatta I (Part of Aryabhattiya) Yes
Bramhasiddhanta Brahmagupta No
Dasgitika Sutra Aryabhatta I (Part of Aryabhattiya) Yes

Therefore, the work among the given options that is not composed by Aryabhatta is Bramhasiddhanta.

Revision Table: Key Ancient Indian Texts

Work Name Primary Author Subject(s) Approximate Period
Aryabhattiya Aryabhatta I Mathematics, Astronomy Late 5th - Early 6th Century CE
Brahmasphutasiddhanta Brahmagupta Mathematics, Astronomy 7th Century CE
Surya Siddhanta (various versions) Unknown / Multiple Authors Astronomy Likely post-Aryabhatta (later versions are 10th-11th Century CE)

Additional Information: Aryabhatta and Brahmagupta

Aryabhatta (c. 476 – 550 CE):

  • One of the first major mathematician-astronomers from the classical age of Indian mathematics and astronomy.
  • Authored the Aryabhatiya, which had a profound influence on Indian and international scientific traditions.
  • Introduced the concept of zero and place-value system (implied).
  • Calculated the value of $\pi$ (pi) to four decimal places (3.1416).
  • Described the rotation of the Earth on its axis and explained the causes of eclipses.

Brahmagupta (c. 598 – 668 CE):

  • Another pivotal figure in Indian mathematics and astronomy.
  • Authored the Brahmasphutasiddhanta ('Corrected Treatise of Brahma') and the Khandakhadyaka.
  • Provided rules for computing with zero and negative numbers.
  • Presented formulas for cyclic quadrilaterals (Brahmagupta's formula).
  • His work significantly influenced later Islamic and European mathematics.

While both were prominent figures, they worked in different centuries, and the Brahmasiddhanta is a work by Brahmagupta, not Aryabhatta.

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