And the paternal uncle’s bequest is equal to two-thirds of it, [which is] two and two-thirds dinars, and the entire third is six and two-thirds, and the whole estate is twenty. If there is, along with them, a bequest of one-sixth of the estate, and the maternal uncle receives six, which is three-fifths of his bequest, then each of the others has three-fifths of his bequest, and that is nine-tenths of the third; one-tenth remains, which equals what the paternal uncle obtained, which is six, and [thus] the third is sixty. If the owner of the sixth receives a tenth of the estate, then the owner of the third has received a fifth of it, and a tenth of the third also remains, which is the maternal uncle’s bequest, and that is three-fifths of his bequest, [amounting to] six, so the third is sixty as we mentioned. Another type: he leaves three sons, and bequeaths to his paternal uncle the equivalent of one of their shares minus one-third of his maternal uncle’s bequest, and to his maternal uncle the equivalent of one of their shares minus one-fourth of his paternal uncle’s bequest. Multiply the denominator of the third by the denominator of the fourth, which is twelve; subtract one share, and eleven remain, which is the share of a son. Subtract two shares, and nine remain, which is the maternal uncle’s bequest. If you subtract three, eight remain, which is the paternal uncle’s bequest. By algebra, place with the paternal uncle four dirhams, and with the maternal uncle three dinars, then add to the dirhams one dinar, and to the dinars one dirham; each of them reaches a share. Use algebra, balance, and drop the common terms, and two dinars remain, which equal three dirhams. Swap and transpose, and the dirhams become eight, and the dinars nine, as we said. If he bequeaths to his paternal uncle ten minus one-fourth of his maternal uncle’s bequest, and to his maternal uncle ten minus one-fifth of his paternal uncle’s bequest, then multiply the denominator of the fourth by the denominator of the fifth, which is twenty; subtract one share, and it becomes nineteen, which is the divisor. Then place with the maternal uncle four, subtract one share, and three remain; multiply them by ten, then by what is with the paternal uncle, which is five, and it becomes one hundred and fifty. Divide it by nineteen, and there results seven and seventeen parts of nineteen, which is his paternal uncle’s bequest. Place with the
(6) Omitted from the original and A. (7) In M: "ten". (8) In A: "for the maternal uncle".