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Use "perpendicularity" in a sentence
"This method of balancing themselves by the direction of their pressure against the floor, becomes disordered by the unusual mode of action in turning round, and they begin to lose their perpendicularity, that is, they become vertiginous; but without any apparent circular motions of visible objects."
"The ascent is precipitous, but the path is cut into continual and short windings, which enable you to surmount the perpendicularity of the mountain."
"There is something anarchic about things that don't conform to society's penchant for perpendicularity."