1) Azimuth circle 2) Erectness 3) Normal 4) Perpendicularity 5) Position 6) Right angle 7) Spatial relation 8) Uprightness 9) Verticalness Found on https://www.crosswordclues.com/clue/verticality
(from the article `illusion`) In studies of visual verticality, experimenters investigated the conditions that determine perception of the `upright.` A tilted chair that could be ... Found on http://www.britannica.com/eb/a-z/v/17
Ver`ti·cal'i·ty noun The quality or state of being vertical; verticalness. [ R.] « The different points of the verticality .» Sir T. Browne. Found on http://www.encyclo.co.uk/webster/V/19