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" This book has a completeness which none of the others (not even the fifth) can boast of: and we could almost suspect that Euclid, having arranged his materials in his own mind, and having completely elaborated the 10th book, wrote the preceding books... "
Dictionary of Greek and Roman Biography and Mythology - Side 67
av William Smith - 1867
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A Short History of Greek Mathematics

James Gow - 1884 - 350 sider
...of any other class4, and (?) he demonstrates the incommensurability of a square and its diagonal6. This book has a completeness which none of the others...his own mind, and having completely elaborated the 10th book, wrote the preceding books after it, and did not live to revise them thoroughly." edition...
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A History of Elementary Mathematics

Florian Cajori - 1898 - 512 sider
...is incommensurable with all the individuals of every other species. " This book," says De Morgan, " has a completeness which none of the others (not even...the preceding books after it, and did not live to rerise them thoroughly." 9 The theory of incommensurables remained where Euclid left it, till the fifteenth...
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The Story of Euclid

William Barrett Frankland - 1902 - 186 sider
...the time, he continues, he would have brought the other books up to the same pitch of completeness. "This book has a completeness which none of the others,...after it, and did not live to revise them thoroughly." These remarks of De Morgan's are suggestive, although it is unnecessary to agree with his conclusions....
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The Story of Euclid

William Barrett Frankland - 1902 - 186 sider
...the time, he continues, he would have brought the other books up to the same pitch of completeness. "This book has a completeness which none of the others,...book, wrote the preceding books after it, and did not Jive to revise them thoroughly." These remarks of De Morgan's are suggestive, .although it is unnecessary...
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A History of Mathematics

Florian Cajori - 1999 - 540 sider
...species is incommensurable with all the individuals of every other species. "This book," says De Morgan, "has a completeness which none of the others (not...preceding books after it, and did not live to revise them thorougbly." 1 The theory of incommensurables remained whcre Euclid left it, till the fifteenth century....
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The Thirteen Books of Euclid's Elements

562 sider
...variety of lines which can be represented by *J(J<ii -J^)< a and b representing two commensurable lines. ...This book has a completeness which none of the...his own mind, and having completely elaborated the loth Book, wrote the preceding books after it and did not live to revise them thoroughly." Much attention...
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A Short Hstory of of Greek Mathematics

James Gow - 380 sider
...of any other class4, and (?) he demonstrates the incommensurability of a square and its diagonal6. This book has a completeness which none of the others...his own mind, and having completely elaborated the 10th book, wrote the preceding books after it, and did not live to revise them thoroughly." edition...
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