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" ... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes. "
The Element of Geometry - Side 87
av John Playfair - 1836 - 114 sider
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Nature Mathematized: Historical and Philosophical Case Studies in Classical ...

International Conference on the History and Philosophy of Science (3, 1980, Montréal) - 1983 - 325 sider
...to paraphrase Euclid, we can say that given two unequal quantities, from the greater we can subtract more than its half, and from the remainder more than its half, such that a quantity smaller than a given smaller quantity is always reached (Elements X. prop I)....
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The popular educator, Volum 2

Popular educator - 1860
...greater of two proposed magnitudes be taken not less than its half, and from the remainder not less than its half, and so on ; there shall at length remain...magnitude less than the least of the proposed magnitudes. For if AB and с be the two proposed magnitudes, of which А в in tin greater, then because (by Cor....
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The American Mathematical Monthly: Devoted to the Interests of Collegiate ...

1894
...Euclid's Tenth Book: If fron the greater of two unequal magnitudes there be taken more than its half, arm from the remainder more than its half, and so on, there shall at length remain magnitude less than the smaller of the proposed magnitudes. Here the smaller of the proposed magnitudes...
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