Verb (used with object) : The highway intersects the town.    From Dictionary.com. 

Verb (used without object) : intersecting lines.    From Dictionary.com. 

In our house, genetics rears its twisty DNA head in the differences between my two boys, who could easily be described in terms of nonintersecting circles in a Venn diagram, the nonintersection being the important part.    From Wordnik.com.  [Sugar and Spice | Her Bad Mother] Reference

Use an angled pin as with the cone, but position it so that its axis and the cutting wire are skew lines: nonintersecting lines in different planes.    From Wordnik.com.  [MAKE Magazine] Reference