From Old English 'dragan' (to pull) — every modern sense, from sketching to concluding, extends the fundamental pulling motion.
To produce a picture or diagram by making lines on a surface; to pull or drag something in a specified direction.
From Old English 'dragan' meaning 'to drag, draw, pull, protract,' from Proto-Germanic *draganą (to draw, pull), from PIE root *dʰregʰ- (to draw, drag, pull along the ground). The original and primary meaning was 'to pull' — drawing a picture is a secondary sense that developed from the motion of pulling a pen or stylus across a surface. This single root produced an extraordinary semantic explosion: drawing a sword, drawing a conclusion