Note the attached drawing is not of the actual project, but this diagram illustrates the issue.

On this photo, how to gutter for location #2? This would be for a situation similar to the drawing. In this drawing, maybe they would be OK installing no gutter for location #2. But in my situation

water cannot be allowed to just run off to the ground, because it would be trapped there and collect in front of a door. It needs to be diverted. A downspout could not be used.

I am wondering why not run gutter across #2 then add an inside corner to run down the gable end from #2 to #3, then use an outside corner to connect with gutter #3.

Assuming the sheet metal parts could be made.

In my situation, the angle would be small, not at all like the angle in this example. Not likely the low-end outside corner would overflow. This is just for a place where a room addition roof would be tied into the existing roof.

 

Sometimes it just doesn't work out perfectly.

Installing a gutter in the "why not hear" is useless, nothing will ever flow into it.

Just run a downspout down the wall between #2 and #3. 6 months from now it will be a distant memory and everything will be working great,

Now you just have to think about what is really important, how are you going to plumb all those downspouts together and get them away, far away, from the house!

 

I meant to say that a gutter would be installed at the red line (location #2) and this drained into a gutter (more like a chute?) where the dotted line is shown, in order to reach the gutter installed at the other end (red line location #3).

 

Typically, gutter 2 would just have its own downspout to the ground.

 

I agree with Stickshift. #2 should have its own downspout.

 

I'm sure a downspout would be preferable. Just cannot do it at this location. This is a remodel. The drawing is not of my project; it is just a sample of the issue that I found online. There is no drawing of my project, yet.

 

When there is a drawing of your project, please ask again.

 

Seems to me you don't need to mess with gutters or down spouts, you just need a pair of diverters.
The two yellow lines in the yellow box- a flow diverter - either flashing, or rubber, or could just be inconspicuous line of sealant the same color as the roof- is all you'd seem to need.

Most roof systems have 'sheet flow' down the roof, all you need to redirect that flow is a small bump or ridge.

 

My neighbor has a setup such as yours and they put a pipe (along the dotted line.) I had never noticed it in 10 years but only after I got interested to gutter a house. And there it was. Unusual, my double take and yep, it's a round pipe between the two gutters. It's also common in countries that normally use the half round gutters vs K-style. If I can get a pic I will update but yeah it's doable. The diverter idea by Hal_S is another one I have seen and of course makes sense.