to the shares of the sons a share and one-fifth, and multiply them by fifteen; it becomes sixty-three. You give to the first legatee eleven, and except from it one-fifth of the remainder of the third, [which is] two shares, nine remains with him. You give to the holder of the third twenty-one, and thirty-three remains, with eleven for each son. If the second bequest is of one-third of the remainder of the estate, you add one to the fifteen, then remove one-third of the sixteen—but it has no third, so multiply it by three; it becomes forty-eight. Remove one-third of it, thirty-two remains, which is the share. Take a share, and add five to it, then remove one-third of that on account of the bequest of one-third of the remainder; four-fifths remains. Add it to the shares of the heirs, and multiply it by forty-five; it becomes one hundred and seventy-one. From it, [the calculation] is sound.
Section: If he left four sons, and bequeathed to a man one-third of his estate minus the share of one of them, or bequeathed to him the completion of the third upon the share of one of them, he gets one-ninth. Its calculation is that you give to the legatee and a son one-third of the estate; its two-thirds remain for three sons, with two-ninths for each one. So you know that the son's share of the third is two-ninths, and one-ninth remains for the legatee. If he bequeathed to another one-fifth of what remains of the estate after the first bequest, you set aside one-third of the estate, then take a share from it, return it to the two-thirds, and give to the second legatee one-fifth of that. There remains from the estate one-third of it, one-fifth of it, and four-fifths of a share for the heirs. Eliminate four-fifths of a share with its equivalent; there remains for him one-third of it and one-fifth, equal to one-third and one-fifth. Half of the estate, therefore, is equal to three shares, and the entire estate is six for the two legatees and the sons, with one share for each. (Another way): The shares of the sons are four, which is the remainder of an estate whose fifth has gone, so add to it its fourth for the second legatee; it becomes five. Then add to the share of a son that which completes the third, which is another share; it becomes six. If you wish, you assumed the estate to be five shares and a completion,
(30) Omitted from M. (31) Omitted from the original. (32) In A and M: "three".
على (٣٠) سِهَامِ البَنِينَ سَهْمًا وخُمْسًا، وضَرَبْتَها في خَمْسةَ عَشَرَ، تَكُنْ ثلاثةً وسِتِّينَ، تَدْفَعُ إلى الوَصِىِّ الأوَّلِ أحَدَ عَشَرَ، وتَسْتَثْنِى منه خُمْسَ بَقِيّةِ الثُّلُثِ سَهْمَيْنِ، يَبْقَى معه تِسْعةٌ، وتَدْفَعُ إلى صاحِبِ الثُّلُثِ إحْدَى وعِشْرِينَ، يَبْقَى ثلاثةٌ وثلاثُونَ، لكلِّ ابْنٍ أحَدَ عَشَرَ، فإن كانت الوَصِيّةُ الثانيةُ بثُلُثِ باقِى المالِ، زِدْتَ على الخَمْسةَ عَشَرَ واحِدًا، ثم نَقَصْتَ ثُلُثَ السِّتّةَ عَشَرَ، ولا ثُلُثَ لها، فاضْرِبْها في ثلاثةٍ، تكُنْ ثمانِيةً وأرْبَعِينَ، انْقُصْ ثُلُثَها، يَبْقَى اثْنانِ وثلاثُونَ، فهى النَّصِيبُ، وخُذْ سَهْمًا، وزِدْ عليه خَمْسةً، ثم انْقُصْ ثُلُثَ ذلك من أجْلِ الوَصِيّةِ بثُلُثِ الباقِى، يَبْقَى أرْبَعةُ أخْماسٍ، زِدْها على سِهَامِ الوَرَثةِ، واضْرِبْها في خَمْسةٍ وأرْبَعِينَ، تكُنْ مائةً وإحْدَى وسَبْعِينَ. ومنها تَصِحُّ.
فصل: فإن خَلَّفَ أرْبعةَ بَنِينَ، وأَوْصَى لِرَجُلٍ بثُلُثِ مالِه إلَّا نَصِيبَ أحَدِهِم، أو أَوْصَى له بتَكْمِلَةِ الثُّلُثِ على نَصِيبِ أحَدِهم، فله التُّسْعُ. وحِسَابُها أن تَدْفَعَ إلى الوَصِىِّ وابْنٍ ثُلُثَ المالِ، يَبْقَى ثُلُثاه لثلاثةِ بَنِينَ، لكلِّ واحدٍ تُسْعانِ، فعَلِمْتَ أنَّ نَصِيبَ الابْنِ من الثُّلُثِ تُسْعانِ، يَبْقَى تُسْعٌ لِلْوَصِىِّ. وإن وَصَّى لآخَرَ بخُمْسِ ما يَبْقَى من المالِ بعدَ الوَصِيَّةِ الأُولَى، عَزَلْتَ ثُلُثَ المالِ، ثم أخَذْتَ منه نَصِيبًا، ورَدَدْتَه على الثُّلُثَيْنِ، ودَفَعْتَ إلى الوَصِىِّ الثاني خُمْسَ ذلك، يَبْقَى من المالِ ثُلُثُه وخُمْسُه وأرْبَعةُ أخْماسِ نَصِيبٍ لِلْوَرَثَةِ، فأسْقِطْ أرْبَعةَ أخْماسِ نَصِيبٍ بمثْلِها، يَبْقَ له (٣١) ثُلُثُهُ (٣٢) وخُمْسٌ، تَعْدِلُ ثُلُثًا وخُمْسًا، فنِصْفُ المالِ إذًا يَعْدِلُ ثَلَاثةَ أنْصِبَاءَ، والمالُ كلُّه سِتَّةٌ لِلْوَصِيَّيْنِ والبَنِينَ لكلِّ واحدٍ سَهْمٌ. (طريقٌ آخَرُ) سِهَامُ البَنِين أرْبَعةٌ، وهى بَقِيّةُ مالٍ ذَهَبَ خُمْسُه، فَزِدْ عليه رُبْعَهُ لِلْوَصِىِّ الثاني, صارَتْ خَمْسةً، ثم زِدْ على سَهْمِ ابْنٍ ما يَكْمُلُ به الثُّلُثُ، وهو سَهْمٌ آخَرُ فصارَتْ سِتّةً. وإن شِئْتَ فَرَضْتَ المالَ خَمْسةَ أسْهُمٍ وتَكْمِلَةً،
(٣٠) سقط من: م.(٣١) سقط من: الأصل.(٣٢) في أ، م: "ثلاثة".