What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
algebraic Ancient Egypt ancient Egyptian arithmetical aroura base Berlin Papyrus British Museum Chapter Four column correct cubic cubits cubit-rods cubit-strips denominator des-jug diameter discussion divided division Document IV Document IV.2 Egyptian mathematics equal equations expressed follows formula fragment frustum geometrical Gillings given granary Griffith height hekat Hence heqat Hieratic text Hieroglyphic transcription Horus-eye fractions ibid Kahun Kahun Papyrus khar khet length loaves of bread loaves of pefsu Mathematical Leather Roll measures Moscow Mathematical Papyrus Moscow Papyrus Multiply Neugebauer number of loaves odd numbers ostracon palms Papyrus from Chace Peet's Plate Problem 48 procedure produce pyramid reader Reckon rectangle red auxiliaries Reisner Papyrus remainder result Rhind Mathematical Papyrus Rhind Papyrus scribe seqed setjat solution Struve Take text and Hieroglyphic tion Total translation trapezoid triangle unit fractions unknown quantity Upper-Egyptian grain volume Waerden wedyet-flour
Page 6 - It was this king [Sesotris], moreover, who divided the land into lots and gave everyone a square piece of equal size, from the produce of which he exacted an annual tax. Any man whose holding was damaged by the encroachment of the river would go and declare his loss before the king, who would send inspectors to measure the extent of the loss, in order that he might pay in future a fair proportion of the tax at which his property had been assessed. Perhaps this was the way in which geometry was invented,...
Page 215 - This papyrus contains nineteen problems, some of which give us new types of calculation unknown till now, and therefore somewhat difficult to comprehend. Four of these problems are geometrical ones. The first shows how to define the length of the sides of a quadrilateral, when the relation of the sides and the area of the quadrilateral are known.
Page 160 - Take away 1/9 of 9, namely, 1; the remainder is 8. Multiply 8 times 8; it makes 64. Multiply 64 times 10; it makes 640 cubed cubits.
Page 60 - ... must now determine whether the progression fulfills the second requirement of the problem: namely, that the number of loaves shall total 100. In other words, multiply the progression whose sum is 60 (see above) by a factor to convert it into 100; the factor, of course, is 1%. This the papyrus does: "As many times as is necessary to multiply 60 to make 100, so many times must these terms be multiplied to make the true series.
Page 144 - Assume 7 1 7 1/7 1 Total 8. As many times as 8 must be multiplied to give 19, so many times 7 must be multiplied to give the required number.
Page 28 - ... of five. As being the part which completed the row into one series of the number indicated, the Egyptian r-fraction was necessarily a fraction with, as we should say, unity as the numerator. To the Egyptian mind it would have seemed nonsense and self-contradictory to write...
Page 183 - Sum the geometrical progression of five terms, of which the first term is 7 and the multiplier 7.
Page 210 - The volume of a frustum is equal to the sum of the areas of the two bases and the square root of their product multiplied by one-third of the altitude.
Page 90 - Moscow papyrus (Plate 5a), by means of the formula where h is the height and a and b the sides of the lower and upper base. It is not to be supposed that such a formula can be found empirically. It must have been obtained on the basis of a theoretical argument; how? By dividing the frustrum into 4 parts, viz.
From Google Scholar
Mahmoud Ezzamel, Aberconway Building, Colum Drive
Samiuela Toluta'u - 2005 - HIST
P It - 1997 - BSHM Bulletin: Journal of the British Society for the History of Mathematics
JSTOR: Ancient Egyptian Science: A Source Book, Vol. 3: Ancient ...
A HISTORIAN’S HISTORY OF ANCIENT EGYPTIAN SCIENCE
Early solar year
Chicago Journals - Isis
Greek Science of the Hellenistic Era: A Sourcebook by Georgia L ...
Marshall Clagett, 89, Scholar on Science in Ancient Times, Is Dead ...
Bibliography: Race, Gender, and Diversity in Science and Mathematics
ebscohost Connection: REVIEWS OF BOOKS.
Deff - Search Service - Research database