VI contains at least seven elements. Now, making use of Assumption VII, we find that the m-classes thus far obtained contain only the elements mentioned. The m-classes CD and AEF have an element in common (by Assumption III) which cannot be A or E, and... Projective Geometry - Page 4by Oswald Veblen, John Wesley Young - 1910Full view - About this book
| OSWALD VEBLEN - 1910
...that each of the triples ABD, BCE, CAG belongs to the same m-class. By Assumption III the m-classes **AE and BG, which are distinct from all the m-classes...the element G in common. The seven elements A, B,** (7, D, E, F> G have now been arranged into m-classes according to the table ABCDEFG (I 7 ) BCDEFGA... | |
| James Roy Newman - Mathematics - 2000 - 624 pages
...174; Padoa, L'Enseignement mathematique. Vol. V (1903), p. g5. Any class S subject to Assumptions I-VI **contains at least seven elements. Now, making use...the element G in common. The seven elements A, B, C,** /•', £, F, G have now been arranged into m-classes according to the table ABCDEFG (10 BCDEFGA DEFGABC... | |
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