mathematics

Ibrahim ibn Sinan

Ibrahim ibn Sinan is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Ibrahim ibn Sinan rather than just read about it. In short: Ibrahim ibn Sinan (Arabic: Ibrāhīm ibn Sinān ibn Thābit ibn Qurra, ابراهيم بن سنان بن ثابت بن قرة; born 295 – 296 AH/c. 908 in Baghdad, died: 334-335 AH/946 in Baghdad, aged 38) was a mathematician and astronomer who belonged to a family of scholars originally from Harran in northern Mesopotamia. He was the son of Sinan ibn Thabit (c. 880 – 943) and the grandson of Thābit ibn Qurra (c. 830 – 901).

Key takeaways

Ibrahim ibn Sinan belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Ibrahim ibn Sinan to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Ibrahim ibn Sinan from memory before moving on to harder problems.

Reference excerpt

Ibrahim ibn Sinan (Arabic: Ibrāhīm ibn Sinān ibn Thābit ibn Qurra, ابراهيم بن سنان بن ثابت بن قرة; born 295 – 296 AH/c. 908 in Baghdad, died: 334-335 AH/946 in Baghdad, aged 38) was a mathematician and astronomer who belonged to a family of scholars originally from Harran in northern Mesopotamia. He was the son of Sinan ibn Thabit (c. 880 – 943) and the grandson of Thābit ibn Qurra (c. 830 – 901). Like his grandfather, he belonged to a religious sect of star worshippers known as the Sabians of Harran. Ibrahim ibn Sinan studied geometry, in particular tangents to circles. He made advances in the quadrature of the parabola and the theory of integration, generalizing the work of Archimedes, which was unavailable at the time. Ibrahim ibn Sinan is often considered to be one of the most important mathematicians of his time.

Notes

Sources Roberts, Alexandre M. (2017). "Being a Sabian at Court in Tenth-Century Baghdad". Journal of the American Oriental Society. 137 (2): 253–277. doi:10.17613/M6GB8Z. Van Brummelen, Glen (2007). "Ibrāhīm ibn Sinān ibn Thābit ibn Qurra". In Hockey, Thomas; et al. (eds.). The Biographical Encyclopedia of Astronomers. New York: Springer. p. 574. doi:10.1007/978-0-387-30400-7_697. ISBN 978-0-387-31022-0. (PDF version)

Further reading Rashed, Roshdi (1996). Les Mathématiques Infinitésimales du IXe au XIe Siècle 1: Fondateurs et commentateurs: Banū Mūsā, Ibn Qurra, Ibn Sīnān, al-Khāzin, al-Qūhī, Ibn al-Samḥ, Ibn Hūd. London.{{cite book}}: CS1 maint: location missing publisher (link) Reviews: Seyyed Hossein Nasr (1998) in Isis 89 (1) pp. 112-113; Charles Burnett (1998) in Bulletin of the School of Oriental and African Studies, University of London 61 (2) p. 406. Rashed, Roshdi (2008) [1970-80]. "Ibrahim Ibn Sinan". Complete Dictionary of Scientific Biography. Encyclopedia.com.

Worked examples

Example 1 — a first encounter with Ibrahim ibn Sinan

Start with the simplest possible case. Write down what Ibrahim ibn Sinan claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Ibrahim ibn Sinan before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Ibrahim ibn Sinan ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Ibrahim ibn Sinan

In research: Ibrahim ibn Sinan appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Ibrahim ibn Sinan in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Ibrahim ibn Sinan is common in secondary-school and first-year university syllabi. It links to neighbouring topics 10th-century Arab people, 10th-century astronomers, 10th-century mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Ibrahim ibn Sinan outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Ibrahim ibn Sinan in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Ibrahim ibn Sinan means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Ibrahim ibn Sinan out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Ibrahim ibn Sinan in simple terms?

Why does Ibrahim ibn Sinan matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Ibrahim ibn Sinan?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Ibrahim ibn Sinan.