Egypt · c. 850-c. 930
Abu Kamil
Abu Kamil was algebraist. He extended algebraic methods to problems with irrational quantities and systems of equations.
Biographical and historical reference works document Abu Kamil’s role and the mathematical work summarized on this page.
3-5, 6-8, 9-12, College
The person and the work
Biography
Abu Kamil was algebraist associated with Egypt. He extended algebraic methods to problems with irrational quantities and systems of equations.
Fibonacci later drew on traditions represented in Abu Kamil’s algebraic writings. Together, these contributions connect fractions, ratios, and percentages, algebra and functions, and geometry and measurement to the working problems, tools, and questions of the period.
Mathematical contribution
What this hero added or preserved
Core mathematical work
He extended algebraic methods to problems with irrational quantities and systems of equations.
Method, teaching, or application
Fibonacci later drew on traditions represented in Abu Kamil’s algebraic writings.
Why this matters
The larger lesson
Abu Kamil shows that mathematics grows through proof, calculation, observation, design, teaching, or careful records. The lasting lesson is that fractions, ratios, and percentages, algebra and functions, and geometry and measurement can turn a difficult question into a method another person can inspect and reuse.
Place the work in time
Timeline
- c. 850
Life and working period
Abu Kamil worked as algebraist in Egypt.
- Legacy
Lasting mathematical connection
Fibonacci later drew on traditions represented in Abu Kamil’s algebraic writings.
Key idea
Proportion preserves a relationship
Abu Kamil’s work connects quantities by ratio. Scaling both parts by the same factor keeps the relationship unchanged.
The ratio 5:11 scaled by 5 becomes 25:55.
Try it yourself
Scale a ratio
Scale the ratio 5:11 by a factor of 5.
- Multiply the first term by the scale factor.
- Multiply the second term by the same factor.
- Confirm that both ratios simplify to the same value.
Show the answer
The scaled ratio is 25:55.
Math at work
Merchants and business owners use the same habits
Merchants and business owners use fractions, ratios, and percentages to plan, compare, test, or communicate decisions. Abu Kamil’s work provides a historical example of that connection.
Keep curiosity alive
A little-known fact
Fibonacci later drew on traditions represented in Abu Kamil’s algebraic writings.
Abu Kamil matters because of only one famous formula or anecdote.
The documented record is broader: He extended algebraic methods to problems with irrational quantities and systems of equations.
Keep exploring
Connected learning paths
Related math terms
- Ratio
- Proportion
- Percentage
- Variable
Practice these ideas
- Fractions & DecimalsWork with fractions, decimals, percentages, and conversions.
- Pre-AlgebraBridge arithmetic and algebra with integers, ratios, and equations.
- Algebra IPractice equations, variables, functions, ratios, and inequalities.
- Algebra IIWork with quadratics, polynomials, systems, and sequences.
- GeometryExplore shapes, angles, area, perimeter, volume, and classification.