The History of Mathematical Proof in Ancient Traditions

Table 12.7

Reciprocal exercises not appearing in Tablet A

Number

Provenance

Contents

Reciprocal pairs

Format

UM 29–13–021

Nippur

30 pairs: 2.5 / 28.48 etc. 6 pairs: 2.40 / 22.30 etc. 10 pairs: 1.40 / 36 etc. 8 pairs: 1.4 / 56.15 etc. 9 pairs: 4.3 / 14.48.53.20 etc.

(1)

TH99-T584, iv

Mari

1.4 / 56.15

(1)

TH99-T304a, iv

Mari

4.16 / 14.3.45

(4.16 = 1.4×2²)

(1)

VAT 5457, iv

Unknown

9.6.8 / 6.35.30.28.7.30

(9.6.8 = 1.4×2

9 )

(2)

MS 2730, iv

Unknown

4.51.16.16 / 12.21.34.37.44.3.45

(4.51.16.16 = 1.4 × 2

14 )

(2)

MS 2793, iv

Unknown

41.25.30.48.32 30 / 1.26.54.12.51.34.11.22.<1.52.30>

(41.25.30.48.32 30 = 1.4 × 2

23 )

(1)

MS 2732, iv

Unknown

1.9.7.12 / 52.5

(1.9.7.12 = 4.3 × 2

10 )

(2)