The Collaborative International Dictionary of English v.0.48:
nonintersecting \nonintersecting\ adj. not sharing a common point; -- of lines, planes, or surfaces. [Narrower terms: parallel (vs. nonparallel) ] Syn: nonconvergent. [WordNet 1.5]WordNet (r) 3.0 (2006):
nonintersecting adj 1: (of lines, planes, or surfaces) never meeting or crossing [syn: {nonconvergent, nonintersecting]