Supporting an Inner Stay, maybe
I was perusing the manual for my 35-2 and came across the following in the running rigging cut list :
RUNNING BACKTAIL quant. 2 size 3/8 length 25' ends screw/ 3/8pin
I give, what is it where do I screw it and what to I pin it to? By the way how accurate is the list? Are the line sizes still accurate with the advances in rope? why are there discrepancies in line lengths that lead to the same place? As always thanks in advance,Edd
Until Seth checks in... our boat has factory "check stays" that are alternatively called running back stays.
The
Tail is a piece of line with an eye spliced in it, through which a D shackle (with a screw pin) joins it to the swedged eye on the end of the wire on port and starboard. Unlike the 35-2, though, our rig has only a single lower attachment on each side. The 35-2 (as I reall...) has double lowers.
Those double lowers keep the spar from pumping forward or aft, with the stock mast head sail plan.
On our boat, the check stays "check" the forward movement of the spar. We only set them up if sailing in waves -- where the bow would run into a wave and slow abruptly and the spar might try to keep on going.

When we shackle on the dacron line
runner tails, they lead through strongly-mounted swivel blocks back near each stern mooring cleat and then forward to a secondary Lewmar 43ST winch.
These movable "stays" usually attach to a T-slot in the spar up above the second spreader. The factory runners on our boat were wire, and when we replaced the standing rigging they were changed out to high tech line. They still terminate in an eye, and spend most of their days tied off on each side with light line to a sliding eye on the forward T-track on each side, just a few inches to the rear of the chainplate connections.
Also, the comment about fractional rigs is right on -- they
do need some way to control mast bend caused by the pull of the fore stay, and their back stay is often used more for inducing controlled mast bend to flatten their big main.
IIRC, the E-33RH has the shrouds angled a little aft so that they also support/tension the fore stay. (For an more obvious example of this geometry look at the chain plate location on a J-24).
Back to the E-35-2, my uneducated guess is that there were optional "running back stays" (I think of them as "check stays" since the boat already has a Back Stay) and these were installed to balance the pull from an optional inner fore stay that was used for a cutter rig option. This is fairly common on boats set up for blue water cruising as well as off shore racers.
There's three cents worth.

Cheers,
Loren