things, and put in their place a dinar and a dirham. Then balance what is with the maternal uncle with what is with the grandfather after the addition, which is two dinars and a dirham with the maternal uncle, versus three dirhams, a quarter of a dirham, and a quarter of a dinar with the grandfather. When you drop the common terms, two dirhams and a quarter remain, equivalent to a dinar and three quarters. Expand the whole into quarters; they become seven quarters of a dinar, equaling nine of the dirhams. Swap, and make the dirham seven, and the dinar nine. Then return to what you assumed, and you will find with the paternal uncle a dirham and a dinar, which is sixteen, with the maternal uncle eighteen, and with the grandfather twenty-one. The complete ten is twenty-five, and the sixteen of it is six and two-fifths, the eighteen is seven and one-fifth, and the twenty-one is eight and two-fifths. If there is with them a brother, and the grandfather's bequest is ten minus a fourth of what is with the brother, and the brother's bequest is ten minus a fifth of what is with the paternal uncle, then by this method you place with the paternal uncle five things, with the maternal uncle two dinars, with the grandfather three dirhams, and with the brother four fulus. Then you balance what is with the paternal uncle with what is with the maternal uncle as we mentioned, and you make the things a dinar and a dirham. Then you balance what is with the maternal uncle with what is with the grandfather, and you make the two dinars two dirhams and a fals. Then you balance what is with the grandfather with what is with the brother, and you extract the fals as twenty-six, the dirham as thirty-one, and the dinar as forty-four. It becomes clear that what is with the paternal uncle is seventy-five, with the maternal uncle eighty-eight, with the grandfather ninety-three, and with the brother one hundred and four. When you add to what is with each person what you excluded from it, it becomes with him
(11) In M: "or a dirham". (12) In M: "three". (13) In A, M: "for the dinar". (14) In A: "and swap". (15) In M: "the dirhams". (16) Omitted from: the original, M. (17) In the copies: "and seventy". (18) In M: "and eighty".
الْأشياءِ، وَاجْعَلْ مَكَانَهَا دِينَارًا ودِرْهَمًا (١١)، ثم قَابِلْ ما مع الْخَالِ بِما مع الْجَدِّ بعدَ الزِّيَادَةِ، وهو دِينَارَانِ، ودِرْهَمٌ مَعَ الْخَالِ، لثلاثةِ (١٢) دَراهِمَ ورُبْعُ دِرْهَمٍ، وَرُبْعُ دِينَارٍ مع الْجَدِّ، فَإِذا أَسْقَطْتَ الْمُشْتَرَكَ بَقِىَ دِرْهَمَانِ وَرُبْعٌ، معَادِلَةٌ لِدِينَارٍ (١٣)؛ وَثَلَاثَةِ أَرْبَاعٍ، فابْسُطِ الْكُلَّ أَرْبَاعًا، تَصِرْ سَبَعَةَ أَرْبَاعٍ مِن الدِّينَارِ، تَعْدِلُ تِسْعَةً مِن الدَّرَاهِمِ، فاقْلِبْ، وَاجْعَلِ (١٤) الدِّرْهَمَ (١٥) سَبْعَةً، وَالدِّينَارَ تِسْعَةً، ثم ارْجِعْ إِلَى ما فَرَضْتَ، فتَجِدُ مع الْعَمِّ دِرْهَمًا ودِينَارًا بِسِتَّةَ عَشَرَ، ومع الْخَالِ ثَمَانِيَةَ عَشَرَ، ومع الْجَدِّ أَحَدٌ وعشرونَ، والْعَشَرَةُ الْكَامِلَةُ خَمْسٌ وعشرونَ، وَالسِّتَّةَ عَشَرَ مِنها سِتَّةٌ وَخُمُسَانِ، وَالثَّمَانِيَةَ عَشَرَ سَبْعَةٌ وَخُمُسٌ، والْأَحَدُ وعشرونَ ثَمَانِيَةٌ وَخُمُسَانِ، فإِنْ كان معهمْ أَخٌ، وَوَصِيَّةُ الْجَدِّ عَشَرَةٌ إِلَّا رُبْعَ ما مع الْأَخِ، ووَصِيَّةُ الْأَخِ عَشْرَةٌ إِلَّا خُمُسَ ما مع الْعَمِّ، فبِهذه الطَّريقِ تَجْعَلُ مع الْعَمِّ خَمْسَةَ أشياءَ، ومع الْخَالِ دِينَارَيْنِ، ومع الْجَدِّ ثلاثةَ دَرَاهِمَ، ومع الْأَخِ أَرْبَعَةَ أَفْلُسٍ، ثم تُقَابِلُ ما مع الْعَمِّ بِما مع الْخالِ كما ذَكَرْنَا، وتَجْعَلُ الْأَشْياءَ دِينَارًا ودرْهَمًا، ثم تُقَابِلُ ما مع الْخَالِ بِما مع الْجدِّ، فتَجْعَلُ الدِّيْنَارَيْنِ دِرْهَمَيْنِ وفَلْسًا، ثم تُقَابِلُ ما مع الْجَدِّ بِما مع الْأَخِ، فتُخْرِجُ الفَلْسَ سِتَّةً وعِشرِينَ، والدِّرْهَمَ أَحَدًا وثلاثينَ، والدِّينَارَ أَرْبَعَةً وَأرْبَعِينَ، فتَبَيَّنَ أَنَّ ما (١٦) مَعَ العَمِّ خَمْسَة وسبعون (١٧)، ومع الْخَالِ ثَمَانِيَةٌ وثمانون (١٨)، ومع الْجَدِّ ثلاثةٌ وتسْعونَ، وَمعَ الْأَخِ مِائَةٌ وَأَرْبَعَةٌ، إِذَا زِدْتَ عَلَى ما مع كُلِّ وَاحِدٍ ما اسْتَثْنَيْتَهُ منه، صَارَ معه
(١١) في م: "أو درهما".(١٢) في م: "ثلاثة".(١٣) في أ، م: "للدينار".(١٤) في أ: "وحول".(١٥) في م: "الدراهم".(١٦) سقط من: الأصل، م.(١٧) في النسخ: "وسبعين".(١٨) في م: "وثمانين".