for a des-jug of beer like the beer called 1/2 1/4 malt-date beer (7) The result is 1/2 of the heqat measure needed for des-jug of beer made from Upper-Egyptian grain. (8) Calculate 1/2 of 5 heqat, the result will be 2 (9) Take this 2 four times (10) The result is 10. Then you say to him: (11) Behold! The beer quantity is found to be correct. Geometrical progressions The use of the Horus eye fractions shows some (rudimentary) knowledge of geometrical progression. One unit was written as 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/64. But the last copy of 1/64 was written as 5 ro, thereby writing 1 = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + (5 ro). These fractions were further used to write fractions in terms of terms plus a remainder specified in terms of ro as shown in for instance the Akhmim wooden tablets. Arithmetical progressions Knowledge of arithmetic progressions is also evident from the mathematical sources. References Egyptian mathematics History of algebra