![]() You may want to compare this to a modern day solution. What is the quantity?Īs many times as 8 must be multiplied to give 19, so many times 7 must be multiplied to give the required number. The bottom part is the interpreter's rendering of the text above it.) Problem 24Ī quantity and its 1/7 added together become 19. Rhind papyrus was discovered in the 19th century and dates back to 1650 BCE. (The top part is a real portion of the scroll. In particular, it is noteworthy that multiplication by 10 has been carried out by repeated doubling and addition, which links it to the Russian Peasant Multiplication algorithm.Ī reproduction below gives a better notion of the appearance of the manuscript. Written in the modern notations, it conveys the spirit of the procedure. The foregoing example must be taken with a grain of salt. Since 10 = 2 8, the two lines corresponding to 2 and 8 units are marked with "\" and then added: That expression, representing 1 part of the sought quantity is then doubled, and the result is doubled again to obtain the representation of 4 units and then that of 8 units. But we do know that the Egyptian have been especially adept at representing numbers as sums of distinct fractions having unit numerators (2/3 being an exception.) There is no explanation how the author has obtained it. In the modern notations: 2/3 1/30 = 21/30 = 7/10, which is of course the correct result. Partial Differential Equations are wholly excluded, and in the domain of ordinary equations, to quote the authors preface, it has no been possible to include. The expression "2/3 1/30" should be understood as the sum of terms involved. Much of the Rhind Papyrus deals with proportional reasoning and multiplication by doubling. contains some problems that are found in an ealier Moscow Papyrus dating from 1850 B.C. The Rhind Papyrus which is dated circa 1650 B.C. The missing (middle) part was discovered in 1922 among a private papyri collection in New York. Originally it came in two parts of a single scroll. It was acquired by the British Museum in 1864 from Rhind's estate and made available in facsimile form to scholars of mathematics and Egyptology. ![]() It's named after the British archeologist A. The Rhind Mathematical Papyrus is the largest among the existing Egyptian papyri. ![]()
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