Etymology
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planar (adj.)

"lying in or otherwise related to a plane, flat," 1850, from Latin planaris "level, flat," from planum "plane" (from PIE root *pele- (2) "flat; to spread"). An earlier word in the same sense was planary (1660s).

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Definitions of planar

planar (adj.)
involving or having two dimensions;
Synonyms: two-dimensional
From wordnet.princeton.edu