Page:The Rhind Mathematical Papyrus, Volume I.pdf/131

82B] the expressions for $2/3$ and $1/undefined$ of a hekat, and in the above table I have corrected lines 3 and 6 of section a so that they are the same as lines 3 and 4 of section d.

In the ﬁrst line of section c, at the end, the papyrus says $1/undefined$ of a hekat when it should be $1/undefined$. and if the amount in the second line is intended to be a half of the amount in the first line, as is probable, then the middle number should be $1/undefined$, and the last number $1/undefined$. Instead of $1/undefined$ and $1/undefined$, as in the papyrus. In the sixth line of the same section the fraction $1/undefined$ is omitted in the middle number, and a little further on. in the second line of section d, the 3 is omitted from the middle number. I have corrected all of these mistakes in the table above.

Problems 82-84 have to do with the feed of birds and oxen and are interesting chieﬂy as showing with how much care the Egyptian farmer estimated the amount of feed necessary for each bird or animal. There are many mistakes in these problems, and the last one, Problem 84, is unintelligible; at least no one has yet explained it.

Problem 82

Estimate in wedyet-flour, made into bread, the daily portion of feed for geese.

The amount of spelt that has to be ground to produce it is

1$1/undefined$times 100 hekat 16 $1/undefined$$1/undefined$$1/undefined$ hekat 3$1/undefined$ ro.

The amount of wheat is

$1/undefined$$1/undefined$ of 100 hekat 8 $1/undefined$$1/undefined$$1/undefined$ hekat 3$1/undefined$ ro.

That which has to be taken away is $1/undefined$, of this, namely,

6 $1/undefined$$1/undefined$$1/undefined$ hekat 1$1/undefined$ro.

The remainder, which is the amount of grain required, is

$1/undefined$$2/3$ of 100 hekat 18 $1/undefined$$1/undefined$$1/undefined$ hekat 1$1/undefined$ ro.

Expressed in double he/eat this is

$1/undefined$ of 100 hekat 21 $2/3$$1/undefined$$1/undefined$' hekat 3$1/undefined$ ro.

Problem 82B

Estimate the amount of feed for other geese.

The amount of grain to be ground in double hekat is

23 $1/undefined$$1/undefined$$1/undefined$ hekat 1$1/undefined$, ro.