Book:Papyrus/Berlin Papyrus 6619

Berlin Papyrus $6619$

The Berlin Papyrus $6619$ is one of the ancient Egyptian mathematical papyri.

Contents

Two problems in simultaneous equations.

Examples

Problem $1$

If it is said to thee:

the area of a square of $100$ is equal to that of two smaller squares.

The side of one is $\frac 1 2 + \frac 1 4$ the side of the other.

Let me know the sides of the two unknown squares.

Solution

The sides of the two unknown squares are $6$ and $8$.

Sources

• 1972: Richard J. Gillings: Mathematics in the Time of the Pharaohs: $14: Equations of the First and Second Degree: Equations of the Second Degree