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16 results
Unique Algebraic Remainders on the Sibṭ’s Commentary on the Yāsamīnīyya
This work is an elaboration of the commentary written by the Egyptian mathematician Sibṭ alMāridīnī—i.e., a commentary on another commentary—on the urjūzah (versified introduction) to the science of algebra, originally composed by the Berber mathematician and man of letters Abū Muḥammad ‘AbdAllāh alIshbīlī alMarrakushī, also known as Ibn alYāsamīn, who died in 1204 (600 AH). AlYāsamīn summarized his mathematical knowledge in a versified treatise known as the Yāsamīnīyya (The treatise by alYāsamīn). Around the end of the 15th century, alYāsamīn’s verses were the object of a ...


Compendium on Using the Device Known as the Almucantar Quarter
This work, by a timekeeper at the AlAzhar Mosque in Cairo, is an important and comprehensive textbook on timekeeping. It introduces the useful device of dividing a quarter of a circle of projection into sections known as almucantars (muqanṭarāt). The work, comprising 100 folio pages, contains 30 chapters and a conclusion. The work was composed in 14401 (844 A.H.) and was copied in 1757 (1170 A.H.).


A Friendly Gift on the Science of Arithmetic
This treatise deals specifically with basic arithmetic, as needed for computing the division of inheritance according to Islamic law. It contains 48 folios and is divided into an introduction, three chapters, and a conclusion. The introduction discusses the idea of numbers as an introduction to the science of arithmetic. Chapter I discusses the multiplication of integers. Chapter II is on the division of integers and the computation of common factors. Chapter III deals extensively with fractions and arithmetic operations on them. The author, an Egyptian jurist and mathematician, was the ...


Commentary on the Gift of Arithmetic
This work is by AbdAllāh Ibn Bahā alDin Muhammad Ibn AbdAllāh alShanshāri alShāfīī, an expert in calculating alFardī (inheritance portions). The cover page of the manuscript bears a magical form or talisman for finding a lost object. The main text is a detailed commentary on Tuhfat alahbāb fi alhisāb (The friendly gift of arithmetic) by the renowned Egyptian scholar Badr alDīn Muhammad Ibn Muhammad Ibn Ahmad (1423–1506), known as the Sibt (grandson of) alMardini, who taught arithmetic and astronomy in Alazhar for several years. The original work has an ...


Glosses of alHifnī on the Yāsamīnīyya
This work is an elaboration of the commentary written by the Egyptian mathematician Sibṭ alMāridīnī (i.e., a commentary on another commentary), on the versified introduction, or urjūzah, to the science of algebra, originally composed by the Berber mathematician and man of letters Abū Muḥammad ‘AbdAllāh alIshbīlī alMarrakushī, also known as Ibn alYāsamīn (died 1204 [600 AH]). Ibn alYāsamīn’s work has not been examined in detail by scholars, so the apparent inclusion in this treatise of original lines by Ibn Yasamīn is of great importance in studying his contribution ...


Guidebook for Students on the Use of Arithmetic
This guidebook is a short commentary on a work on arithmetic entitled alWasīla (The tool) completed in the 14th century by Shihāb alDīn Ahmad ibn Alī ibn Imād. The commentary is by the renowned Egyptian scholar known as Sibt (grandson of) alMāridīnī (1423–1506), who taught mathematical sciences at Alazhar for a long time. The body of the work begins with a general discussion on numbers, and forms a standard introduction to arithmetic. The manuscript, which was completed by Ahmad ibn Yūnus alChalabī alHanafī in 1496 (AH 903) at the ...


The Introductory Epistle on Sinusoidal Operations
This manuscript is a copy of alRisāla alFatḥīya fī ala‘māl aljaybīya (The introductory epistle on sinusoidal operations) by Muḥammad ibn Muḥammad ibn Aḥmad Abu ‘Abd Allāh, Badr alDīn (1423–1506), known as Sibṭ alMāridīnī or the grandson of alMāridīnī, in honor of his mother’s father, a famous astronomer. The manuscript consists of 16 pages of 14 lines each, and includes an introduction and 20 bābs (chapters or articles). They range in length from a few lines to a page, and cover such topics as determination of the cardinal ...


Glosses of alHifnī on the Yāsamīnīyya
The mathematical tradition that developed in North Africa during the Middle Ages continued to attract the interest of scholars in subsequent centuries. Medieval treatises were extensively read and made the subject of commentaries. In many cases, these commentaries became the object of other works—or supercommentaries—aimed at further clarifying the subject of the original treatises. This manuscript is an example of this phenomenon. In the 12th century, the North African mathematician ‘Abdallāh ibn Hajjāj ibn alYāsamīn summarized his mathematical knowledge in a versified treatise known as Yāsamīnīyya (The treatise ...


Facts on the Calculation of Degrees and Minutes
This manuscript by Badr alDīn Muhammad ibn Muhammad ibn Ahmad ibn Muhammad ibn alĠazal (1423–1506) contains a commentary on, and abridgement of, the astrological treatise on the calculation of the movement of stars and planets, Kašf alhaqā’iq fī hisāb aldaraj waaldaqā’iq (The uncovering of the facts regarding the calculation of degrees and minutes), by the Egyptian astronomer and mathematician Ahmad ibn Rağab ibn alMağdī (1366–1447). Ibn alMağdī was a disciple of the famous ‘Abdallāh alMāridīnī (or alMārdīnī), who was the grandfather of the author of this ...


Small Treatise on the Calculation of Tables for the Construction of Inclined Sundials
The challenge of calculating the positions and movements of celestial bodies for the purpose of preparing astronomical tables helped to stimulate the development of very sophisticated mathematical tools at least as far back as the Middle Ages. The link between mathematics and astronomy was so strong that important authors in the field of astronomy were often distinguished mathematicians and vice versa. This was the case with Badr alDīn Muhammad ibn Muhammad ibn Ahmad ibn Muhammad ibn alĠazal (1423–1506), also known as Sibt alMāridīnī, who, according to contemporary sources, produced ...


The Commentary on “The Little Sparkles on the Science of Calculation”
The treatise in this manuscript is a commentary on a mathematical treatise by Šihāb alDīn Aḥmad ibn Muḥammad Ibn alHā’im (circa 1355–1412). Ibn alHā’im taught mathematics and Islamic jurisprudence, subjects on which he wrote extensively. The erudite Badr alDīn Muhammad Sibt alMāridīnī (circa 1423–1506), who was at the time working as muwaqqit (timekeeper) at the AlAzhar mosque in Cairo, composed this short commentary less then 60 years after the death of Ibn alHā’im. Following widespread tradition in Islamic lands, Sibt alMāridīnī included in the title ...


The Shimmer of AlMāridinī in the Explanation of the Treatise by alYāsamīn
The present manuscript preserves a very elegant copy of a work by one of the most prolific authors of the second half of the 15th century in the field of mathematics and related subjects: Badr alDīn Muḥammad ibn Muḥammad ibn alĠazal, best known as Sibṭ alMāridīnī ("the son of alMāridīnī’s daughter") from the name of his famous maternal ancestor, who was also a mathematician. The Lum‘a alMāridīnīyya is an extensive prose commentary on a famous poem on algebra composed by the Maghrebi mathematician alYāsamīn around the last ...


The Shimmer of AlMāridinī in the Explanation of the Treatise by alYāsamīn
The mathematical tradition that flourished in North Africa and Andalusia during the Middle Ages did not undergo the same decline that many scholars claim occurred in the sciences after the first half of the 13th century. The present work supports this point. The manuscript is a very elegant copy of a mathematical text by Badr alDīn Muḥammad ibn Muḥammad ibn alĠazal, best known as Sibṭ alMāridīnī ("the son of alMāridīnī’s daughter") from the name of his famous maternal grandfather, who was himself a mathematician. Sibṭ alMāridīnī's mathematical ...


The Shimmer of AlMāridinī in the Explanation of the Treatise by alYāsamīn
The 12thcentury mathematical poem known as alYāsamīnīyya fī ‘ilm alJabr (The poem by alYāsamīn on calculus) from the name of its author, alYāsamīn, is one of the most read and commented upon mathematical texts of its time. Its verses have been extensively copied, both in autonomous form and by incorporation into larger commentaries up to the 20th century. The present manuscript preserves an early 20thcentury copy of the 15thcentury commentary on the Yāsamīnīyya written by Badr alDīn Muḥammad ibn Muḥammad ibn alĠazal, best known as Sibṭ alMāridīnī ("the son ...


Commentary on "The Little Sparkles on the Science of Calculation"
The system of fara'iḍ (shares) for inheritances is considered to be one of the most advanced innovations introduced by Muslim conquerors in Middle Eastern and North African societies. The exact calculation of shares of inheritance is a complex chapter in Islamic law, and it is not surprising that Muslim intellectuals and scientists developed a system of mathematical tools in order to master "the science of the shares" (‘ilm alfara'iḍ). An important contribution to this field can be found in the work of Aḥmad ibn Muḥammad Ibn ...


The Commentary of the Šayḫ, the Head, the Extremely Knowledgeable Aḥmad alŠāfiʻī alJanājī alMālikī on the Commentary on the Yāsamīniyya on the Science of Algebra and Equations by Sibṭ alMāridīnī
This supercommentary (commentary on a commentary) by Aḥmad Muhammad alŠāfiʻī alJanājī alMālikī testifies to the liveliness and endurance of the Arabic mathematical tradition and demonstrates the continuous exegetical effort in which Arabic scientists commented upon previous works with the aim of expanding and clarifying their contents. The North African mathematician ‘Abd Allāh ibn Ḥajjāj ibn alYāsamīn (died 1204) conveyed his mathematical knowledge in a poem known as Yāsamīnīyya (The treatise by alYāsamīn). AlYāsamīn’s verses became the subject of a prose commentary, the Lum‘a alMaridinīyya fī Šarḥ alYāsamīnīyya (The ...
