In Poincares disk model in the unit disk, Let $A=(0,0), B=(1/2,0), C=(3/4,0)$, X=(0,1/2) and let $h=\overrightarrow{AX}$
Use Bolyai-Lobatjevskijs formula to calculate the measure of angle between $\overrightarrow{BA}$ and the limit parallel from $B$ to $h$, and between $\overrightarrow{CA}$ and the limit parallel from $C$ to $h$
To start I calculate the distance $h=\overrightarrow{AX}: h=\overrightarrow{AX}=\lvert\ln R[AX,MN]\rvert=\lvert \ln(XO*BP/XP*BO)\rvert=\lvert \ln(3)\rvert=1.0986$
After this I'm not sure how to proceed. I'm unsure how to find distance for $\overrightarrow{XB}$ and $\overrightarrow{XC}$. To use my formula for distance I would need the ideal points of the h-line. I know they are $(0.9831,-0.1831) $and $(-0.1831,0.9831)$ for $\overrightarrow{XB}$ and $(-0.21257,0.97714)$ and $(0.99946,-0.03288) for $\overrightarrow{XC}$. I found them by using the tool on geogebra.org, but I would need to show how to find them algebraically to solve this problem.
How do I find the ideal endpoints of the lines going through $(1/2,0)$ and $(0,1/2)$, or $(3/4,0)$ and $(0,1/2)$