verticality

CIDE DICTIONARY

verticality, n. 

 The quality or state of being vertical; verticalness.  [1913 Webster]
"The different points of the verticality."  [1913 Webster]

ROGET THESAURUS

verticality

Verticality

N verticality, erectness, perpendicularity, right angle, normal, azimuth circle, wall, precipice, cliff, elevation, erection, square, plumb line, plummet, vertical, upright, erect, perpendicular, plumb, normal, straight, bolt, upright, rampant, standing up, rectangular, orthogonal, vertically, up, on end, up on end, right on end, a plomb, endwise, one one's legs, at right angles.

Perpendicularity

N perpendicularity, orthogonality, verticality, orthogonal, perpendicular, rectangular, uncorrelated.