'Point' is Latin for 'a prick' — from 'pungere' (to pierce). One sharp tip that spawned geometry and argument.
A sharp or tapering end; a particular spot, place, or moment; an item in a discussion or argument; the essential meaning or purpose of something.
From Old French 'point' (dot, mark, puncture, small amount) and 'pointe' (sharp tip), from Latin 'punctum' (a prick, a point, a small hole) and 'pungere' (to prick, to pierce), from PIE root *pewǵ- meaning 'to prick, to stab.' The same Latin verb produced 'puncture,' 'punctual,' 'pungent,' 'compunction,' and 'poignant.' The remarkable breadth of 'point' in English — from geometry to argumentation to scoring — reflects centuries of metaphorical extension from the single original image of a sharp