Muslim scholars made significant contributions to geometry, including the development of trigonometry, the advancement of algebraic concepts, and the translation and preservation of Greek texts.

## And now, more specifically

Muslim scholars made significant contributions to the field of geometry, particularly during the Islamic Golden Age (8th-13th centuries). Their advancements in geometry included the development of trigonometry, the advancement of algebraic concepts, and the translation and preservation of Greek texts.

One of the most notable Muslim mathematicians was Al-Khwarizmi, who lived during the 9th century. He wrote a number of treatises on mathematics, including one called “The Compendious Book on Calculation by Completion and Balancing,” which introduced the concept of algebra and its methods of solving equations. Another important Muslim mathematician was Al-Biruni, who lived during the 11th century. He was known for his work on trigonometry and his calculations of the earth’s circumference.

Muslim scholars also made significant contributions to the field of optics, which are closely related to geometric concepts. One of the most famous was Ibn al-Haytham, who lived during the 10th century. He wrote a number of treatises on optics, including “The Book of Optics,” which is considered a foundational text in the field.

A quote from historian Dario Fernández-Morera sums up the contributions of Muslim scholars to geometry: “Islamic mathematics became the most advanced mathematics in the world between the 9th and 13th centuries, and it was Muslims who completed the most important geometrical studies of the Middle Ages.”

Interesting facts about Muslim contributions to geometry include:

- The word “algebra” comes from the Arabic word “al-jabr,” which means “reunion of broken parts.”
- The word “algorithm” also has Arabic roots, coming from the name “Al-Khwarizmi.”
- The first comprehensive treatise on algebra was written by the Persian mathematician Al-Khwarizmi in the 9th century.
- Muslim mathematicians were among the first to use the concept of zero in their calculations, which had a profound impact on the field of mathematics.
- Many important texts on Greek mathematics, such as the works of Euclid, were translated into Arabic during the Islamic Golden Age and preserved for later generations.

Here is a table summarizing some of the key Muslim contributors to geometry:

Mathematician | Time Period | Contributions |
---|---|---|

Al-Khwarizmi | 780-850 CE | Algebraic concepts |

Al-Biruni | 973-1048 CE | Trigonometry, earth’s circumference |

Ibn al-Haytham | 965-1040 CE | Optics |

Omar Khayyam | 1048-1131 CE | Algebra, equations |

Nasir al-Din al-Tusi | 1201-1274 CE | Geometry, trigonometry, algebra |

## See the answer to your question in this video

Islamic geometric design is a sophisticated art form that originated during the 8th century CE and involves existing motifs from Roman and Persian cultures being developed into new forms of visual expression. In this video, the underlying characteristics and techniques of Islamic geometric design, as found in places such as mosques and palaces, are explained. The art form encompasses increasing levels of abstraction, complex geometry, and patterns that seem to repeat endlessly, and yet all that is required to create these designs are a compass and a ruler. Each design begins with a circle that is then divided into four, five, or six equal parts that give rise to distinctive patterns. Furthermore, the underlying grid must be an essential part of each pattern’s creation, making the pattern accurate and facilitating the invention of new designs. Lastly, the tessellation, or the repeating of patterns, is the hallmark of Islamic geometric design which serves to create a visually stunning piece of art.

## Many additional responses to your query

The great philosopher Abū Naṣr al‐Fārābī (ca. 870–950) proposed many geometric constructions of parabolas, regular polygons, squares equal to three given equal squares, constructions with one opening of the compass, and constructions on the sphere.

Many of the intellectual sciences Muslims developed were a direct result of the Qur’anic inspirations and of their need to fulfill the rituals and duties of worship. The Islamic duty of Zakah or alms giving, and the distribution of properties in the will are examples of the duties laid the foundation of geometry and arithmetic.

Hyperbolic and Symplectic geometry

Her PhD concerned the Riemann surfaces. Picture a surface with several holes in it, like that of a pretzel or two doughnuts stuck together, and then imagine trying to wrap a rubber band around the surface without it overlapping itself. Mirzakhani wanted to work out how many different ways this can be done for a rubber band of a given length.

She realized that she could flip the method. Instead of fixing a surface and counting the number of curves, she could find the average of all such numbers corresponding to points in the ‘moduli space’ of Riemann surfaces: a ‘space’, or set, of points, each of which represents one of the shapes a surface can take. Computing such an average requires one to calculate the ‘volume’, or size, of the space of Riemann surfaces that contain a curve of a certain length. A clever recursive formula for the volumes of various moduli spaces solved the problem. The solution had several stunning ramifications in seemingly dista…

## More interesting questions on the issue

**The earliest geometrical forms in Islamic art were occasional isolated geometric shapes such as 8-pointed stars and lozenges containing squares**. These date from 836 in the Great Mosque of Kairouan, Tunisia, and since then have spread all across the Islamic world.

**developed an analytical geometry that links geometry with algebra**. In addition, he also introduced the concept of movement and transformation in geometry.

**because pictures of people were not allowed in holy places**. Dutchman Eric Broug – who lives in the north of England – has become a global ambassador for this design style. Here he explains why it fascinates him, and gives a step-by-step guide for a tiling of stars