The Greek verb katakremnizo means to throw someone down from a cliff or precipice — to cast headlong from a height. It is a vivid word for execution by throwing from a height, a method used in both Jewish and Roman contexts.
This word appears once in the New Testament (Luke 4:29), when the people of Nazareth, enraged by Jesus' sermon, drove him to the brow of the hill on which their town was built in order to throw him off. But Jesus passed through the crowd. This dramatic moment foreshadows the rejection Jesus would face — and shows his sovereign control over his own destiny.
Theologically, the attempted katakremnizo shows that Jesus' hour had not yet come. No mob could take his life before he freely laid it down. His death would be on his terms, in his time, for his purposes.