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Hence, the line in hyperbolic geometry is defined as it is in Euclidean, right?

My prof defined that is the disk without boundary.

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My prof defined that is the disk without boundary.
exactly i also said without boundary :-D

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Hold on.
In Euclid, he defined a line is a breadthless length. It doesn't relate to end points.

assume this circle in Euclid's define the line, segment, open segment
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yes

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You make me think of 3D, not 2 D any more.

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haha that might be new model as well :D why not.

hahaha..... but I can't imagine how 2 circles perpendicular to each other in 2D, friend.

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ok, go ahead.

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aAAAAAAh, I got you!!

yes exactly Hoa !

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Hence if a triangle is formed from the "lines", it should look like |dw:1441576649907:dw|

yes you are correct, i think its less than 180 i'm i right ?

Got you. again, thank you so so so much. I love you, friend.

here you can use my reference, my teacher (Aminah Afaneh) wrote it and made it so easy to read and understand.

i love you too my friend <3.

Thanks for the link. I am out now to read it. :)