Non Euclidean Geometry

I only did a diagramatic justification $This\quad problem\quad gives\quad another\quad model\quad for\quad hyperbolic\quad geometry\\ Our\quad points\quad will\quad be\quad the\quad points\quad in\quad the\quad open\quad disc:\\ D=\left\{ \left( x,y \right) :\quad { x }^{ 2 }+{ y }^{ 2 }<1 \right\} \\ The\quad lines\quad will\quad be\quad arcs\quad of\quad circles\quad that\quad intersect\quad the\quad \\ boundary\quad of\quad D.\\ Show\quad that\quad this\quad model\quad satisfies\quad the\quad hyperbolic\quad axiom.\\ \\ $

I don't know if it requires any analysis. Sorry about my bad english

#Geometry

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$