290BCE | Elements of Geometry |
p.1 | 9603 | An assumption that there is a largest prime leads to a contradiction |
p.24 | 8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines |
p.87 | 8738 | Postulate 2 says a line can be extended continuously |
p.183 | 10250 | Euclid needs a principle of continuity, saying some lines must intersect |
p.404 | 14157 | Modern geometries only accept various parts of the Euclid propositions |
7 Def 1 | p.194 | 9894 | A unit is that according to which each existing thing is said to be one |
72a17 | p.149 | 1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all |