Are there construction with compasses and ruler of non-Euclidean geometry?
Can I get a link to site of it?
The straight edge, in Euclidean geometry, allows you to construct a line through two given points. The compasses allow you to construct the circle with given center and radius. What figures correspond to "lines" and "circles" in non-Euclidean geometry?
Althought the use of compasses and ruler in geometry, there is a possibility to use another tools.
In the history of math, there are also different tools that are different from those.
So, if the tools are not ruler and compasses.. you can build with another tools.
Why you are thinking that there are no-notes about it? (In the Internet?)
I think you are confusing two notions. For example, in ruler-compass constructions you have a collapsible compass and an unmarked straight edge. So you can't directly mark off a given length on a line and transfer that length to a different line with those tools. In other words, the compass can't be used like a mechanical drawing set of dividers, which hold their setting when lifted from the paper. But, with the ruler and collapsible compass you can effect the same thing with a few construction steps. So, effectively, you can add a set of dividers to your Euclidean toolset.
But your original post asked about tools for non-Euclidean geometry. That's a different thing. It's not my field, but I don't think you have addressed the points raised by HallsOfIvy in post #5.