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Use "nonintersecting" in a sentence
"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."
"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."