¶ Curved Space
← Curvature: Simple and Compound Curvature | Curved Space →
Index Entry
A sphere is unit, but a line is not because the terminals of a line must represent arbitrary cut-offs. All lines, except when abstractly considered as ‘direction,’ are somewhat curved, and all curved lines must eventually intersect-- no matter how remotely. Not even a graphed spiral is forever possible because the errors in a graphed line constantly dislocate the line and insist upon an ultimate intersecting contact. This, quite simply, is the essential concept in Einstein’s ‘curved space.’ The only possible symbol of unity in plane geometry is the circle.
