Where Faulkner has 'Bows', Allen has the 'sky's arcs'.
For example, Faulkner §1018: "...having power over the Bows"; Allen: "O controlling power of the (sky's) arcs.
The 'Nine Bows' (psDt pDwt) = the nations of the world - written with T10 'composite bow', repeated 9x (Faulkner 2002 (1962): 95); "A collective term for all lands outside Egypt" (Allen 2005: 438)
'Nine Bows' in the PTs:
"Your baton is set in your hand, (Pepi Neferkare), that you may open the ram-bolted gates that bar [the Fenekhu. You shall number those of the night, direct] the Nine Bows, and take the hand of the Imperishable Stars." N67
"The ram-bolted gates that bar Libya have been opened to you. Your metal baton is in your hand, and you shall number those of the night, direct the Nine Bows, and receive the Imperishable Stars' arm." Nt 241b (Faulkner supplement: 31; §1915c)
"Ho, Big Ennead in Iunu - Atum, Shu, Tefnut, Geb, Nut, Osiris, Isis, Seth, and Nephthys, Atum's children! His heart was stretched for (you), his children, in your identity of the Nine Bows." N 359 (Sethe Vol 2: 374; §1655)
It seems from these PTs that 'Nine Bows' may have a celestial counterpart.
Horus had nine bows:
Horus has stretched his nine bows against this akh that comes from the ground with his head cut off and tail truncated. T 260 (Sethe Vol 1: 368; §673b)
Teti is the one who fires the bow as Horus, who draws the bowstring as Osiris: that one has gone, this one has come. T 265 (Sethe Vol 1: 372; §684a)
CT