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中國哲學書電子化計劃
翻譯顯示:[不顯示] [英文]

《卷上》

英文翻譯:人工智能和中國哲學書電子化計劃用戶 [?] 電子圖書館
1 卷上:
度之所起,起於忽。欲知其忽,蠶所生,吐絲為忽。十忽為一秒,十秒為一毫,十毫為一釐,十釐為一分,十分為一寸,十寸為一尺,十尺為一丈,十丈為一引;五十尺為一端;四十尺為一疋;六尺為一步。二百四十步為一畝。三百步為一里。
The origin of measurement begins with the "hu." To understand the hu, it is said that silkworms produce it by spinning silk. Ten hu make one miao, ten miao make one hao, ten hao make one li, ten li make one fen, ten fen make one cun, ten cun make one chi, ten chi make one zhang, and ten zhang make one yin; Fifty chi make one duan; Forty chi make one pi; Six chi make one bu. Two hundred and forty bu make one mu. Three hundred bu make one li.

2 卷上:
稱之所起,起於黍。十黍為一絫,十絫為一銖,二十四銖為一兩,十六兩為一斤,三十斤為一鉤,四鉤為一石。量之所起,起於粟。六粟為一圭,十圭為一抄,十抄為一撮,十撮為一勺,十勺為一合,十合為一升,十升為一斗,十斗為一斛。斛得六千萬粟。所以得知者,六粟為一圭,十圭六十粟為一抄,十抄六百粟為一撮,十撮六千粟為一勺,十勺六萬粟為一合,十合六十萬粟為一升,十升六百萬粟為一斗,十斗六千萬粟為一斛。十斛六億粟,百斛六兆粟,千斛六京粟,萬斛六陔粟,十萬斛六秭粟,百萬斛六壤粟,千萬斛六溝粟,萬萬斛為一億斛六澗粟,十億斛六正粟,百億斛六載粟。
The origin of weight measurement begins with the shu grain. Ten shu make one lei, ten lei make one zhu, twenty-four zhu make one liang, sixteen liang make one jin, thirty jin make one gou, and four gou make one dan. The origin of volume measurement begins with the su grain. Six su make one gui, ten gui make one chao, ten chao make one cuo, ten cuo make one shao, ten shao make one he, ten he make one sheng, ten sheng make one dou, and ten dou make one hu. One hu contains sixty million su grains. Therefore, it is known that six su make one gui; ten gui, or sixty su, make one chao; ten chao, or six hundred su, make one cuo; ten cuo, or six thousand su, make one shao; ten shao, or sixty thousand su, make one he; ten he, or six hundred thousand su, make one sheng; ten sheng, or six million su, make one dou; and ten dou, or sixty million su, make one hu. Ten hu contain six hundred million su; one hundred hu, six billion su; one thousand hu, six trillion su; ten thousand hu, six quadrillion su; one hundred thousand hu, six quintillion su; one million hu, six sextillion su; ten million hu, six septillion su; and one hundred million hu, or one yi hu, contain six octillion su; ten yi hu, six nonillion su; and one bai yi hu, six decillion su.

3 卷上:
凡大數之法,萬萬曰億,萬萬億曰兆,萬萬兆曰京,萬萬京曰陔,萬萬陔曰秭,萬萬秭曰壤,萬萬壤曰溝,萬萬溝曰澗,萬萬澗日正,萬萬正曰載。
Generally, the method for large numbers is as follows: ten thousand times ten thousand is yi; ten thousand times yi is zhao; ten thousand times zhao is jing; ten thousand times jing is gai; ten thousand times gai is zi; ten thousand times zi is rang; ten thousand times rang is gou; ten thousand times gou is jian; ten thousand times jian is zheng; and ten thousand times zheng is zai.

4 卷上:
周三徑一。方五邪七;見邪求方,五之,七而一;見方求邪,七之,五而一。
The circumference of a circle is three times its diameter. A square with side length five has a diagonal of seven; To find the side from the diagonal, multiply by five and divide by seven; To find the diagonal from the side, multiply by seven and divide by five.

5 卷上:
黃金方寸重一斤。白金方寸重一十四兩。玉方寸重一十二兩。銅方寸重七兩半。鈆方寸重九兩半。鐵方寸重六兩。石方寸重三兩。
One cubic cun of gold weighs one jin. One cubic cun of silver weighs fourteen liang. One cubic cun of jade weighs twelve liang. One cubic cun of copper weighs seven and a half liang. One cubic cun of lead weighs nine and a half liang. One cubic cun of iron weighs six liang. One cubic cun of stone weighs three liang.

6 卷上:
凡筭之法,先識其位,一從十橫,百立千僵,千十相望,萬百相當。
The method for calculation begins by identifying the positions: one is vertical, ten is horizontal; a hundred stands upright and a thousand lies flat. Ten hundreds face each other, and thousands and tens correspond to each other in position.

7 卷上:
凡乘之法,重置其位。上下相觀,上位有十步至十,有百步至百,有千步至千。以上命下,所得之數列於中位。言十即過,不滿自如。上位乘訖者先去之。下位乘訖者則俱退之。六不積,五不隻。土下相乘,至盡則已。
In multiplication, the positions are arranged again for calculation. By observing vertically and horizontally, if the upper position has ten, it moves to the tens place; if it has a hundred, it moves to the hundreds place; if it has a thousand, it moves to the thousands place. The upper number is used to multiply the lower one, and the resulting product is placed in the middle position. If it reaches ten, carry over; if less than ten, leave as is. After the upper position has been multiplied, remove it first. Once the lower position is multiplied, both are moved back. Six does not accumulate; five does not count as a single unit. Multiplying vertically and horizontally continues until the end is reached.

8 卷上:
凡除之法,與乘正異。乘得在中央,除得在上方。假令六為法,百為實。以六除百,當進之二等,令在正百下,以六除一,則法多而實少,不可除,故當退就十位。以法除實,言一六而折百為四十七,故可除。若實多法少,自當百之,不當復退。故或步法十者置於十位,百者置於百位。上位有空絕者,法退二位。餘法皆如乘時。實有餘者,以法命之,以法為母。實餘為子。
The method of division differs from multiplication. In multiplication, the result is placed in the center; in division, it appears at the top. Suppose six is the divisor and one hundred is the dividend. Dividing one hundred by six, it should be advanced two positions and placed under the hundreds place. Dividing one by six results in a larger divisor than dividend, which is not possible; therefore, we must retreat to the tens position. Using the divisor to divide the dividend: saying one six and reducing a hundred by sixty results in forty-seven, so division is possible. If the dividend is large and the divisor small, it naturally belongs to the hundreds place, and there is no need to retreat further. Therefore, if a step of ten is taken, it should be placed in the tens position; if a hundred, in the hundreds position. If there is an empty space at the upper position, the divisor must retreat two positions. The remaining methods follow those of multiplication. If there is a remainder in the dividend, name it using the divisor as the denominator. The remainder becomes the numerator.

9 卷上:
以粟求糲米,三之,五而一。以糲米求粟,五之,三而一。以糲米求飯,五之,二而一。以粟米求糲飯,六之,四而一。以糲飯求糲米,二之,五而一。以绺米求飯,八之,四而一。
To convert su grain to millet rice, multiply by three and divide by five. To convert millet rice back to su grain, multiply by five and divide by three. To convert millet rice into cooked rice, multiply by five and divide by two. To convert su grain into millet rice, then to cooked rice, multiply by six and divide by four. To convert cooked rice back to millet rice, multiply by two and divide by five. To convert liu mi into cooked rice, multiply by eight and divide by four.

10 卷上:
十分減一者,以二乘,二十除。減二者,以四乘,二十除。減三者,以六乘,二十除。減四者,以八乘,二十除。減五者,以十乘,二十除。減六者,以十二乘,二十除。減七者,以十四乘,二十除。減八者,以十六乘,二十除。減九者,以十八乘,二十除。
A reduction of one-tenth is calculated by multiplying by two and dividing by twenty. A reduction of two-tenths (or one-fifth) is calculated by multiplying by four and dividing by twenty. A reduction of three-tenths is calculated by multiplying by six and dividing by twenty. A reduction of four-tenths (or two-fifths) is calculated by multiplying by eight and dividing by twenty. A reduction of five-tenths (or half) is calculated by multiplying by ten and dividing by twenty. A reduction of six-tenths (or three-fifths) is calculated by multiply by twelve and divide by twenty. A reduction of seven-tenths is calculated by multiplying with fourteen and dividing by twenty. A reduction of eight-tenths (or four-fifths) is computed by multiplying by sixteen and dividing by twenty. A reduction of nine-tenths is calculated by multiply with eighteen and divide by twenty.

11 卷上:
九分減一者,以二乘,十八除。
A reduction of one-ninth is calculated by multiplying by two, then dividing by eighteen.

12 卷上:
八分減一者,以二乘,十六除。
A reduction of one-eighth is calculated by multiplying by two then dividing by sixteen.

13 卷上:
七分減一者,以二乘,十四除。
A reduction of one-seventh is calculated by multiplying by two and then dividing by fourteen.

14 卷上:
六分減一者,以二乘,十二除。
A reduction of one-sixth is calculated by multiplying by two, and then dividing by twelve.

15 卷上:
五分減一者,以二乘,十除。
A reduction of one-fifth is calculated by multiplying by two first, then dividing by ten.

16 卷上:
九九八十一,自相乘,得幾何?答曰:六千五百六十一。術曰:重置其位,以上八呼下八,八八六十四,即下六千四百於中位。以上八呼下一,一八如八,即於中位下八十。退下位一等,收上位八十。以上位一呼下八,一八如八,即於中位下八十。以上一呼下一,一一如一,即於中位下一。上下位俱收,中位即得六千五百六十一。
Ninety-nine times eighty-one, when multiplied together, results in what? Answer: Six thousand five hundred and sixty-one. Method: Arrange the positions again, call out eight from above to multiply with eight below; eight eights are sixty-four. Place six thousand four hundred in the middle position. Call out eight from above to one below, one eight is eight; place eighty in the middle position. Move the lower position back by one rank and add the upper value of eighty. Call out one from above to eight below, one eight is eight, place eighty in the middle position accordingly. Call out one from the upper position to multiply with one from the lower; one times one is one, so place one in the middle position. After collecting both the upper and lower positions, the middle position yields six thousand five hundred sixty-one.

17 卷上:
六千五百六十一,九人分之,問人得幾何?答曰:七百二十九。術曰:先置六千五百六十一於中位,為實。下列九人為法。上位置七百,以上七呼下九,七九六十三,即除中位六千三百。退下位一等,即上位置二十。以上二呼下九,二九十八,即除中位一百八十。又更退下位一等,即上位更置九,即以上九呼下九,九九八十一,即除中位八十一。中位邬盡,收下位。上位所得即人之所得。自八八六十四至一一如一,邬準此。
Six thousand five hundred sixty-one is to be divided among nine people; how much does each person receive? Answer: Seven hundred and twenty-nine. Method: First place six thousand five hundred sixty-one in the middle position as the dividend. Place nine people below as the divisor. Place seven hundred in the upper position; call out seven from above to multiply by nine below, seven nines are sixty-three, and subtract six thousand three hundred from the middle. Move the lower position back one rank; place twenty in the upper position. Call out two from above to multiply by nine from below, two nines are eighteen, and subtract one hundred eighty from the middle. Move the lower position back another rank, place nine in the upper position again. Call out nine from above to multiply by nine below; nine nines are eighty-one and subtract eighty-one from the middle. When the middle position is exhausted, collect the lower positions. The result in the upper position is what each person receives. From eight eights being sixty-four to one times one being one, follow this method accordingly.

18 卷上:
八九七十二,自相乘,得五千一百八十四。八人分之,人得六百四十八五。七九六十三,自相乘,得三千九百六十九。七人分之,人得五百六十七五。
Eight nines are seventy-two; when multiplied by itself, it results in five thousand one hundred and eighty-four. Divided among eight people, each person receives six hundred forty-eight point five. Seven nines are sixty-three; when multiplied by itself, the result is three thousand nine hundred and sixty-nine. Divided among seven people, each person receives five hundred sixty-seven point five.

19 卷上:
六九五十四,自相乘,得二千九百一十六。六人分之,人得四百八十六。
Six nines are fifty-four; when multiplied by itself, results in two thousand nine hundred and sixteen. Divided among six people, each person receives four hundred eighty-six.

20 卷上:
五九四十五,自相乘,得二千二十五。五人分之,人得四百五。
Five nines are forty-five; when multiplied by itself, gives two thousand and twenty-five. Divided among five people, each person receives four hundred fifty.

21 卷上:
四九三十六,自相乘,得一千二百九十六。四人分之,人得三百二十四。
Four nines are thirty-six; when multiplied by itself, yields one thousand two hundred and ninety-six. Divided among four people, each person receives three hundred twenty-four.

22 卷上:
三九二十七,自相乘,得七百二十九。三人分之,人得二百四十三。
Three nines are twenty-seven; when multiplied by itself, equals seven hundred and twenty-nine. Divided among three people, each person receives two hundred forty-three.

23 卷上:
二九一十八,自相乘,得三百二十四。二人分之,人得一百六十二。
Two nines are eighteen; when multiplied by itself, produces three hundred twenty-four. Divided among two people, each person receives one hundred sixty-two.

24 卷上:
一九如九,自相乘,得八十一。一人得八十一。右九九一條,得四百五,自相乘,得一十六萬四千二十五。九人分之,人得二萬八千二百二十五。
One nine is nine; when multiplied by itself, gets eighty-one. One person receives eighty-one. The above one "Nine Nines" item, totaling four hundred five; when multiplied by itself, obtains sixteen thousand four hundred and twenty-five. Divided among nine people, each person receives two ten-thousand eight thousand two hundred and twenty-five.

25 卷上:
八八六十四,自相乘,得四千九十六。八人分之,人得五百十二。
Eight eights are sixty-four; when multiplied by itself, becomes four thousand ninety-six. Divided among eight people, each person receives five hundred twelve.

26 卷上:
七八五十六,自相乘,得三千一百三十六。七人分之,人得四百四十八。
Seven eights are fifty-six; when multiplied by itself, amounts to three thousand one hundred and thirty-six. Divided among seven people, each person receives four hundred forty-eight.

27 卷上:
六八四十八,自相乘,得二千三百四。六人分之,人得三百八十四。
Six eights are forty-eight; when multiplied by itself, totals two thousand three hundred and four. Divided among six people, each receives three hundred eighty-four.

28 卷上:
五八四十,自相乘,得一千六百。五人分之,人得三百二十。
Five eights are forty; when multiplied by itself, reaches one thousand six hundred. Divided among five people, each receives three hundred twenty.

29 卷上:
四八三十二,自相乘,得一千二十四。四人分之,人得二百五十六。
Four eights are thirty-two; when multiplied by itself, is one thousand and twenty-four. Divided among four people, each receives two hundred fifty-six.

30 卷上:
三八二十四,自相乘,得五百七十六。三人分之,人得一百九十二。
Three eights are twenty-four; when multiplied by itself, makes five hundred seventy-six. Divided among three people, each receives one hundred ninety-two.

31 卷上:
二八十六,自相乘,得二百五十六。二人分之,人得一百二十八。
Two eights are sixteen; when multiplied by itself, comes to two hundred fifty-six. Divided among two people, each receives one hundred twenty-eight.

32 卷上:
一八如八,自相乘,得六十四。一人得六十四。右八八一條,得二百八十八,自相乘,得八萬二千九百四十四。八人分之,人得一萬三百六十八。
One eight is eight; when multiplied by itself, gains sixty-four. One person receives sixty-four. The above one "Eight Eights" item, totaling two hundred eighty-eight; when multiplied by itself, achieves eight ten-thousand two thousand nine hundred and forty-four. Divided among eight people, each receives one ten-thousand three hundred sixty-eight.

33 卷上:
七七四十九,自相乘,得二千四百一。七人分之,人得三百四十三。
Seven sevens are forty-nine; when multiplied by itself, attains two thousand four hundred and one. Divided among seven people, each receives three hundred forty-three.

34 卷上:
六七四十二,自相乘,得一千七百六十四。六人分之,人得二百九十四。
Six sevens are forty-two; when multiplied by itself, arrives at one thousand seven hundred and sixty-four. Divided among six people, each gets two hundred ninety-four.

35 卷上:
五七三十五,自相乘,得一千二百二十五。五人分之,人得二百四十五。
Five sevens are thirty-five; when multiplied by itself, sums to one thousand two hundred twenty-five. Divided among five people, each gets two hundred forty-five.

36 卷上:
四七二十八,自相乘,得七百八十四。四人分之,人得一百九十六。
Four sevens are twenty-eight; when multiplied by itself, adds up to seven hundred eighty-four. Divided among four people, each gets one hundred ninety-six.

37 卷上:
三七二十一,自相乘,得四百四十一。三人分之,人得一百四十七。
Three sevens are twenty-one; when multiplied by itself, accumulates to four hundred forty-one. Divided among three people, each gets one hundred forty-seven.

38 卷上:
二七十四,自相乘,得一百九十六。二人分之,人得九十八。
Two sevens are fourteen; when multiplied by itself, computes to one hundred ninety-six. Divided among two people, each gets ninety-eight.

39 卷上:
一七如七,自相乘,得四十九。一人得四十九。右七七一條,得一百九十六,自相乘,得三萬八千四百一十六。七人分之,人得五千四百八十八。
One seven is seven; when multiplied by itself, derives forty-nine. One person receives forty-nine. The above one "Seven Sevens" item, totaling one hundred ninety-six; when multiplied by itself, calculates to three ten-thousand eight thousand four hundred and sixteen. Divided among seven people, each gets five thousand four hundred eighty-eight.

40 卷上:
六六三十六,自相乘,得一千二百九十六。六人分之,人得二百一十六。
Six sixes are thirty-six; when multiplied by themselves, equals one thousand two hundred ninety-six. Divided among six people, each received two hundred sixteen.

41 卷上:
五六三十,自相乘,得九百。五人分之,人得一百八十。
Five sixes are thirty; when multiplied by themselves, results in nine hundred. Divided among five people, each received one hundred eighty.

42 卷上:
四六二十四,自相乘,得五百七十六。四人分之,人得一百四十四。
Four sixes are twenty-four; when multiplied by themselves, produces five hundred seventy-six. Divided among four people, each received one hundred forty-four.

43 卷上:
三六一十八,自相乘,得三百二十四。三人分之,人得一百八。
Three sixes are eighteen; when multiplied by themselves, yields three hundred twenty-four. Divided among three people, each received one hundred eight.

44 卷上:
二六一十二,自相乘,得一百四十四。二人分之,人得七十二。
Two sixes are twelve; when multiplied by themselves, gives one hundred forty-four. Divided among two people, each received seventy-two.

45 卷上:
一六如六,自相乘,得三十六。一人得三十六。右六六一條,得一百二十六,自相乘,得一萬五千八百七十六。六人分之,人得二千六百四十六。
One six is six; when multiplied by itself, obtained thirty-six. One person received thirty-six. The above one "Six Sixes" item, totaling one hundred twenty-six; when multiplied by itself, calculated to fifteen thousand eight hundred seventy-six. Divided among six people, each got two thousand six hundred forty-six.

46 卷上:
五五二十五,自相乘,得六百二十五。五人分之,人得一百二十五。
Five fives are twenty-five; when multiplied by themselves, becomes six hundred twenty-five. Divided among five people, each got one hundred twenty-five.

47 卷上:
四五二十,自相乘,得四百。四人分之,人得一百。
Four fives are twenty; when multiplied by themselves, amounts to four hundred. Divided among four people, each got one hundred.

48 卷上:
三五一十五,自相乘,得二百二十五。三人分之,人得七十五。
Three fives are fifteen; when multiplied by themselves, totals two hundred twenty-five. Divided among three people, each got seventy-five.

49 卷上:
二五一十,自相乘,得一百。二人分之,人得五十。
Two fives are ten; when multiplied by themselves, reaches one hundred. Divided among two people, each got fifty.

50 卷上:
一五如五,自相乘,得二十五。一人得二十五。右五五一條,得七十五,自相乘,得五千六百二十五。五人分之,人得一千一百二十五。
One five is five; when multiplied by itself, gained twenty-five. One person got twenty-five. The above one "Five Fives" item, totaling seventy-five; when multiplied by itself, achieved five thousand six hundred twenty-five. Divided among five people, each obtained one thousand one hundred twenty-five.

51 卷上:
四四一十六,自相乘,得二百五十六。四人分之,人得六十四。
Four fours are sixteen; when multiplied by themselves, became two hundred fifty-six. Divided among four people, each obtained sixty-four.

52 卷上:
三四一十二,自相乘,得一百四十四。三人分之,人得四十八。
Three fours are twelve; when multiplied by themselves resulted in one hundred forty-four. Divided among three people, each obtained forty-eight.

53 卷上:
二四如八,自相乘,得六十四。二人分之,人得三十二。
Two fours are eight; when multiplied by themselves gives sixty-four. Divided among two people, each obtained thirty-two.

54 卷上:
一四如四,自相乘,得一十六。一人得一十六。右四四一條,得四十,自相乘,得一千六百。四人分之,人得四百。
One four is four; when multiplied by itself gained sixteen. One person obtained sixteen. The above one "Four Fours" item, totaling forty; when multiplied by itself calculated to one thousand six hundred. Divided among four people, each gained four hundred.

55 卷上:
三三如九,自相乘,得八十一。三人分之,人得二十七。
Three threes are nine; when multiplied by themselves becomes eighty-one. Divided among three people, each gained twenty-seven.

56 卷上:
二三如六,自相乘,得三十六。二人分之,人得一十八。
Two threes are six; when multiplied by themselves results in thirty-six. Divided among two people, each gained eighteen.

57 卷上:
一三如三,自相乘,得九。一人得九。右三三一條,得一十八,自相乘,得三百二十四。三人分之,人得一百八。
One three is three; when multiplied by itself obtained nine. One person gained nine. The above one "Three Threes" item, totaling eighteen; when multiplied by itself computed to three hundred twenty-four. Divided among three people, each acquired one hundred eight.

58 卷上:
二二如四,自相乘,得一十六。二人分之,人得八。
Two twos are four; when multiplied by themselves became sixteen. Divided among two people, each acquired eight.

59 卷上:
一二如二,自相乘,得四。一人得四。右二二一條,得六,自相乘,得三十六。二人分之,人得十八。
One two is two; when multiplied by itself resulted in four. One person acquired four. The above one "Two Twos" item, totaling six; when multiplied by itself became thirty-six. Divided among two people, each achieved eighteen.

60 卷上:
一一如一,自相乘,得一。一乘不長。右從九九至一一,總成一千一百五十五,自相乘,得一百十三萬四千二十五。九人分之,人得一十四萬八千二百二十五。
One one is one; when multiplied by itself gives one. Multiplying one does not increase it. The above total from "Nine Nines" down to "One One," altogether one thousand one hundred fifty-five; when multiplied by itself, gives one hundred thirteen ten-thousand four thousand twenty-five. Divided among nine people, each person received fourteen ten-thousand eight thousand two hundred and twenty-five.

61 卷上:
以九乘一十二,得一百八。六人分之,人得一十八。
Multiplying twelve by nine gives one hundred eight. Divided among six people, each received eighteen.

62 卷上:
以二十七乘三十六,得九百七十二。一十八人分之,人得五十四。
Multiplying thirty-six by twenty-seven gives nine hundred seventy-two. Divided among eighteen people, each received fifty-four.

63 卷上:
以八十一乘一百八,得八千七百四十八。五十四人分之,人得一百六十二。
Multiplying one hundred eight by eighty-one gives eight thousand seven hundred forty-eight. Divided among fifty-four people, each received one hundred sixty-two.

64 卷上:
以二百四十三乘三百二十四,得七萬八千七百三十二。一百六十二人分之,人得四百八十六。
Multiplying three hundred twenty-four by two hundred forty-three gives seventy thousand eight hundred seven hundred thirty-two. Divided among one hundred sixty-two people, each received four hundred eighty-six.

65 卷上:
以七百二十九乘九百七十二,得七十萬八千五百八十八。四百八十六人分之,人得一千四百五十八。
Multiplying nine hundred seventy-two by seven hundred twenty-nine gives seventy million eight thousand five hundred eighty-eight. Divided among four hundred eighty-six people, each received one thousand four hundred fifty-eight.

66 卷上:
以二千一百八十七乘二千九百一十六,得六百三十七萬七千百九十二。一千四百五十八人分之,人得四千三百七十四。
Multiplying two thousand nine hundred sixteen by two thousand one hundred eighty-seven gives six million thirty-seven ten-thousand seven thousand one hundred ninety-two. Divided among one thousand four hundred fifty-eight people, each received four thousand three hundred seventy-four.

67 卷上:
以六千五百六十一乘八千七百四十八,得五千七百三十九萬五千六百二十八。四千三百七十四人分之,人得一萬三千一百二十二。
Multiplying eight thousand seven hundred forty-eight by six thousand five hundred sixty-one gives five million seven hundred thirty-nine ten-thousand five thousand six hundred twenty-eight. Divided among four thousand three hundred seventy-four people, each received ten-thousand three thousand one hundred twenty-two.

68 卷上:
以一萬九千六百八十三乘二萬六千二百四十四,得五億一千六百五十六萬六百五十二。一萬三千一百二十二人分之,人得三萬九千三百六十六。
Multiplying two ten-thousand six thousand two hundred forty-four by one ten-thousand nine thousand six hundred eighty-three gives five hundred million one hundred sixty-five ten-thousand six hundred fifty-two. Divided among ten-thousand three thousand one hundred and twenty-two people, each received three ten-thousand nine thousand three hundred sixty-six.

69 卷上:
以五萬九千四十九乘七萬八千七百三十二,得四十六億四千九百四萬五千八百六十八。三萬九千三百六十六人分之,人得一十一萬八千九十八。
Multiplying seven ten-thousand eight thousand seven hundred thirty-two by five ten-thousand nine thousand four hundred ninety gives forty-six billion four million nine hundred four ten-thousand five thousand eight hundred sixty-eight. Divided among three ten-thousand nine thousand three-hundred sixty-six people, each received eleven ten-thousand eight hundred ninety-eight.

70 卷上:
以一十七萬七千一百四十七乘二十三萬六千一百九十六,得四百一十八億四千一百四十一萬二千八百一十二。一十一萬八千九十八人分之,人得三十五萬四千二百九十四。
Multiplying twenty-three ten-thousand six thousand one hundred ninety-six by seventeen ten-thousand seven thousand one-hundred forty-seven gives four hundred eighteen billion four million one hundred forty-one ten-thousand two thousand eight hundred twelve. Divided among eleven ten-thousand eight thousand nine-hundred ninety-eight people, each received thirty-five ten-thousand four thousand two hundred ninety-four.

71 卷上:
以五十三萬一千四百四十一乘七十萬八千五百八十八,得三千七百六十五億七千二百七十一萬五千三百八。三十五萬四千二百九十四人分之,人得一百六萬二千八百八十二。
Multiplying seventy million eight thousand five-hundred eighty-eight by fifty-three ten-thousand one hundred forty-one gives three thousand seven hundred sixty-five billion seven thousand two hundred seventy-one ten-thousand five thousand three hundred eight. Divided among thirty-five ten-thousand four-thousand two-hundred ninety-four people, each received one-hundred six ten-thousand two thousand eight-hundred eighty-two.

URN: ctp:sunzi-suan-jing/juan-shang