Sources in the history of algebra: arithmetical and recreational problems

Conspectus of problems from: Kitab fī al-jābr wa’l-muqābalah.
Transcription by: Karpinski, Louis Charles (1915) Robert of Chester’s Latin Translation of the Algebra of Al-Khwarizmi, Macmillan Company, New York.

KAA101 Divide ten into two parts in such a way that one part multiplied by the other and the product, or result, taken four times, will be equal to the product of one part by itself. (p. )
KAA102 I divide 10 into two parts in such a way that the product of 10 by itself is equal to twice the product of one part by itself, adding seven-ninths of the same product. (p. )
KAA103 I divide 10 into two parts in such a way that when one part is divided by the other, the resulting fraction equals 4. (p. )
KAA104 Multiply 3 x and one unit by 4 x and one unit so as to give as the product 20. (p. )
KAA105 I divide ten into two parts in such a way that the sum of the products obtained by multiplying each part by itself is equal to 58. (p. )
KAA106 I multiply 1/3 x and 1/4 x in such a way as to give x itself plus 24 units. (p. )
KAA201 I divide ten into two parts in such a way that the product of one part multiplied by the other gives 21. (p. )
KAA202 I divide ten into two parts in such a way that each part being multiplied by itself, the product of the smaller part taken from the product of the larger part leaves 40. (p. )
KAA203 I divide ten into two parts in such a way that when to the sum of the products of each part by itself is added, the difference between the two parts the sum total will be 54 units. (p. )
KAA204 Divide ten into two parts in such a way that the product of one part by itself equals 81 times the other part. (p. )
KAA205 Two squares (i.e. two quantities or numbers) being given with a difference of two units, I divide the smaller by the larger in such a way that the fraction resulting from the division shall equal one-half. (p. )
KAA206 I multiply a square by its root in such a way that the product equals three similar squares. (p. )
KAA207 I multiply three roots of a square by four of its roots in such away that the sum total of the multiplication will equal the same square and 44 units. (p. )
KAA208 I multiply four roots of a square by five roots of the same square in such a way that the sun total of the multiplication will equal double the square and 36 units (p. )
KAA209 Multiply the root of a square by four of its roots in such a way that the sum total of the multiplication shall equal three squares and 50 units. (p. )
KAA210 I take from a square one-third of it and three units, and multiply the remainder by itself ; the product is the square. (p. )
KAA211 I multiply one-third of a square by one-fourth of it in such a way that the sum total of the multiplication will give the square. (p. )
KAA212 I divide a unit and one-half in such a way that the larger part shall be double the smaller. (p. )
KAA213 I multiply a square by two-thirds of itself and have five as a product. (p. )
KAA214 I divide a unit among girls in such a way that each one receives the same fractional part of the thing. Now if I add one girl to the number, each receives for her part one-sixth (of a unit) less than before. (p. )
KAA215 If from a square I subtract four of its roots and then take one-third of the remainder, finding this equal to four of the roots, the square will be 256. (p. )
KAA216 From a square I subtract three of its roots and multiply the remainder by itself; the sum total of this multiplication equals the square. (p. )