of anharmonic ratios but Euclid’s “porism”, the latter of 
     which was as close a miss as possible for Desargues’ 
     Theorem. But they regarded these things as isolated 
     propositions having no relation to each other. Had the 
     late Greeks only added to them the one further idea that 
     parallel lines meet at infinity, they would have had in their 
     hands at least logical equivalents of the basic ideas for 
     geometrical continuity and for perspective and 
     perspective geometry. That is to say that again and 
     again during a period of six or seven centuries they went 
     right up to the door of modern geometry, but that, 
     inhibited by their tactile-muscular, metrical ideas, they 
     were never able to open that door and pass out into the 
     great open spaces of modern thought.

     The story of uniformity, continuity, and homogeneity was