If you have a rectangular conservatory on the back of a house you can have the roof as a single sloping panel or you can have it so the ends slope down.
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House Here

Not sure if the picture above makes it any clearer but what are the slope side bits called?

Bugger the formatting is all to cock. Seems it uses proportional fonts. Ignore the picture

Dutch roof?

maybe google for some images that illustrate what you want to ask?

I think you mean a hipped roof – google it and see

I think you mean hipped too:

for proper posh though, surely you need double hipped? 😉

Hipped it is