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The Compendious Book on Calculation by Completion and Balancing

From Simple English Wikipedia, the free encyclopedia
title page in Arabic writing and calligraphy; hand-drawn ornamental frame; parchment is gilded and stained from age
title page, 9th century
AuthorMuhammad ibn Musa al-Khwarizmi
Original titleكتاب المختصر في حساب الجبر والمقابلة
CountryAbbasid Caliphate
Original text
كتاب المختصر في حساب الجبر والمقابلة at Arabic Wikisource

The Compendious Book on Calculation by Completion and Balancing (Arabic: ٱلْكِتَاب ٱلْمُخْتَصَر فِي حِسَاب ٱلْجَبْر وَٱلْمُقَابَلَة, al-Kitāb al-Mukhtaṣar fī Ḥisāb al-Jabr wal-Muqābalah; Latin: Liber Algebræ et Almucabola), also known as Al-Jabr (ٱلْجَبْر), is a mathematical book on algebra written by Muḥammad ibn Mūsā al-Khwārizmī around 820 CE. Al-Jabr was important in the history of mathematics, the term "algebra" itself derived from Al-Jabr.

Area and volume

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The book show ways of finding area and volume. These include approximations of pi (π), as 3 1/7, √10, and 62832/20000. This latter approximation, this equals 3.1416, which appeared in Āryabhaṭīya (499 CE).[1]


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  1. B.L. van der Waerden, A History of Algebra: From al-Khwārizmī to Emmy Noether; Berlin: Springer-Verlag, 1985. ISBN 3-540-13610-X