Euclid and His Modern Rivals

admit adopted allow already assert assume Axiom axiomatic beginners better Certainly coincide common point conclusion consider construct contain course curve deduce define Definition demonstration different directions discussed draw drawn equal equally inclined equidistant Euclid examining exist fact fear figure Geometry give given Line grant greater instance intersectional length less limit logical magnitude Manual mathematical matter mean meet method moving necessary objection opposite Pair of Lines parallel pass perpendicular phrase Plane position possible Problems produced proof Prop proposed Propositions prove question reason refer remaining remark require result right angles right Line Rivals seems separational sequence side straight Line suggest suppose surely teaching Theorem thing third transversal Triangle true turn whole Wilson writer