by peace = by their prosperity, or careless security.
the Prince of princes: i.e. the Messiah.
he shall be broken without hand. To understand this read Isa_11:4. 2Th_2:8. Rev_19:19, Rev_19:20. Compare Isa_10:12; Isa_14:25; Isa_31:8. Mic_5:6-7. Zep_2:13. Zec_10:11. Nah_1:11.