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Read e-book online A History of Elementary Mathematics PDF

By Florian Cajori

ISBN-10: 0548134081

ISBN-13: 9780548134085

This scarce antiquarian publication is a variety from Kessinger Publishings Legacy Reprint sequence. as a result of its age, it could actually comprise imperfections equivalent to marks, notations, marginalia and wrong pages. simply because we think this paintings is culturally vital, we now have made it on hand as a part of our dedication to keeping, protecting, and selling the worlds literature. Kessinger Publishing is where to discover thousands of infrequent and hard-to-find books with anything of curiosity for everybody!

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The number owned by the priesthood, and their areas, Horus, at Edfu, in Upper Egypt. of pieces of land was About 100 were inscribed upon the walls in hieroglyphics. C. yield for irregular. 1 Consiilt the drawings reproduced in 3 Ibidem, p. 104. Thus the formulae of closer approximations than those CANTOR, Yol. I. , p. 108. A HISTORY OF MATHEMATICS 46 written two centuries after Euclid! The conclusion irresist ibly follows that the Egyptians resembled the Chinese in the stationary character, not only of their government, but also of An their science.

Cit, p. 72. unknown Diophantus quantities. A HISTORY OF MATHEMATICS 36 This poverty in notation is offset in many cases merely by skill in the selection of the unknown. Frequently he follows a " position : method resembling somewhat the Hindu "false a preliminary value is assigned to the unknown only one or two of the necessary conditions. This leads to expressions palpably wrong, but nevertheless which satisfies suggesting some stratagem 1 values can be obtained. by which one of the correct Diophantus knows how to solve quadratic equations, but in the extant books of his Arithmetica he nowhere explains the mode of solution.

47, The proof given by jpythagoras due to Euclid himself. is down IffiSETingenuity has been expended in conjectures as to its nature. Bretschneider's sur mise, that the Pythagorean proof was substantially the same to "as: as the one of Bhaskara (given elsewhere), has been well received by Hankel, Allman, Grow, Loria. 1 Cantor thinks it not improbable that the early proof involved the consideration of special cases, of which the isosceles right triangle, perhaps the first, may have been proved in the manner indi by the cated The 2 adjoining figure.

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A History of Elementary Mathematics by Florian Cajori

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