Mesopotamia and Syria · c. 858-929
Al-Battani
Al-Battani was astronomer and mathematician. He improved astronomical observations and used trigonometric relationships involving sines, tangents, and cotangents.
Biographical and historical reference works document Al-Battani’s role and the mathematical work summarized on this page.
3-5, 6-8, 9-12, College
The person and the work
Biography
Al-Battani was astronomer and mathematician associated with Mesopotamia and Syria. He improved astronomical observations and used trigonometric relationships involving sines, tangents, and cotangents.
His measurements of the solar year and obliquity were more accurate than many earlier values. Together, these contributions connect geometry and measurement, trigonometry, and statistics and probability to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
He improved astronomical observations and used trigonometric relationships involving sines, tangents, and cotangents.
Method, teaching, or application
His measurements of the solar year and obliquity were more accurate than many earlier values.
Why this matters
The larger lesson
Al-Battani shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that geometry and measurement, trigonometry, and statistics and probability can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- c. 858
Life and working period
Al-Battani worked as astronomer and mathematician in Mesopotamia and Syria.
- Legacy
Lasting mathematical connection
His measurements of the solar year and obliquity were more accurate than many earlier values.
Key idea
Geometry turns dimensions into consequences
Al-Battani’s work demonstrates that lengths and angles can determine area, shape, position, or motion.
A rectangle 11 units by 7 units has area 77 square units and perimeter 36 units.
Try it yourself
Measure a rectangle
A rectangle is 11 units long and 7 units wide. Find its area and perimeter.
- Multiply length by width for area.
- Add length and width, then double for perimeter.
- Attach the correct units.
Show the answer
The area is 77 square units, and the perimeter is 36 units.
Math at work
Navigators and pilots use the same habits
Navigators and pilots use geometry and measurement to plan, compare, test, or communicate decisions. Al-Battani’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
His measurements of the solar year and obliquity were more accurate than many earlier values.
Al-Battani matters because of only one famous formula or anecdote.
The documented record is broader: He improved astronomical observations and used trigonometric relationships involving sines, tangents, and cotangents.
Keep exploring
Connected learning paths
Practice these ideas
- GeometryExplore shapes, angles, area, perimeter, volume, and classification.
- Advanced GeometryPractice coordinate geometry, transformations, vectors, and solids.
- TrigonometryUse angles, right triangles, radians, and trigonometric functions.
- Statistics & ProbabilityWork with averages, data sets, probability, and spread.