Rhind Mathematical Papyrus/Problems 41–60

Problem 41

1

<red

red>

(red nine in a circle)

2

3

<red

red>

4

<red

red>

5

6

•

＼

7

•

8

＼

9

＼

Problem 42

1

<red

red>

<red red>

•

2

3

4

<red

red>

5

•

•

＼

6

＼

7

＼

8

＼

9

＼

Problem 43

1

<red

red>

2

<red

red>

3

<red

red>

4

5

＼

•

•

•

•

<red

(1/2)

(1/32)

(1/64)

red>

6

＼

7

＼

＼

＼

＼

8

Problem 44

1

<red

red>

(rectangle)

2

3

<red

red>

＼

4

•

•

5

•

6

•

＼

7

•

8

Problem 45

1

<red

red>

2

•

3

•

4

•

Problem 46

1

<red

red>

<red

red>

2

3

•

•

4

5

Problem 47

1

<red

red>

2

3

•

()

4

•

(1/4)

(1/16)

(1/64)

1

(1/2)

2

3

(1/2)

(1/8)

(1/32)

4

(1/4)

(1/8)

(1/32)

(1/64)

5

(1/4)

1

(1/16)

(1/32)

(1/64)

2

Problem 48

(with an octagon, or a "circle" inscribed in the square.)

1

＼

•

2

•

3

4

＼

5

＼

Problem 49

1

<red

red>

2

1

•

2

3

Problem 50

1

<red

red>

2

3

4

(written vertically)

(written inside a circle)

1

•

2

3

4

•

5

＼

1

2

Problem 51

1

<red

red>

2

3

4

3

•

•

4

•

1

2

3

4

•

Problem 52

1

<red

red>

2

3

4

•

＼

•

＼

Problem 53

<red

red>

<red

red>

<red

red>

<red

red>

<red

(1/8)

red>

＼

•

＼

(1/8)

<red

red>

(1/8)

(1/8)

•

＼

＼

<red

red>

＼

(1/8)

Problem 54

1

<red

red>

•

•

(1/8)

2

＼

＼

(1/8)

3

＼

4

＼

Problem 55

1

<red

red>

•

2

•

＼

•

3

(1/8)

4

＼

(1/8)

5

Problem 56

<red

red>

＼

•

•

•

<red

red>

Problem 57

1

<red

red>

•

＼

2

•

3

4

•

5

Problem 58

1

<red

red>

2

3

4

＼

(written vertically)

1

•

2

＼

3

＼

4

5

1

•

2

3

4

＼

5

Problem 59 & 59B

1

<red

red>

2

3

•

•

＼ ＼

4

＼

＼

5

＼

＼

1

＼

2

3

＼

4

5

Problem 60

1

<red

red>

＼

2

3

4

(written vertically)

•

＼

•

＼

References

• Chace, Arnold Buffum; et al. (1929). The Rhind Mathematical Papyrus. Vol. 2.
• Imhausen, A. (2002). Ägyptische Algorithmen: eine Untersuchung zu den mittelägyptischen mathematischen Aufgabentexten (Vol. 65). Otto Harrassowitz Verlag.