 | William Smith - 1873 - 1248 sider
...square and its diagonal. This book hns a completeness which none of the others (not even the filth) can boast of: and we could almost suspect that Euclid,...in his own mind, and having completely elaborated thetenth book, wrote the preceding books after it, and did not live to revise them thoroughly. The... | |
 | William Smith - 1876 - 1264 sider
...species can belong to that species in two different ways, or for two different sets of values of a and b. He shews how to form other classes of incommensurables,...having arranged his materials in his own mind, and basing completely elaborated the tenth book, wrote the preceding books after it, and did not live to... | |
 | William Smith - 1880 - 1328 sider
...individual line which is commensurable with an individual of any other class ; and he demonstrate* the incommensurability of a square and its diagonal....could almost suspect that Euclid, having arranged his material* in hit own mind, and having completely elaborated the tenth book, wrote the preceding books... | |
 | 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... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | 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.... | |
 | 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... | |
 | 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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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 tenth book, wrote the preceding books... 