Hyperbolic Geometry in Desmos

These are models of two-dimensional hyperbolic geometry, implemented in desmos. Click & drag points to see how the lines change.

lines in the Poincare half plane

P and Q are points in the upper half plane model of hyperbolic geometry. The orange curve is the hyperbolic line through P and Q.

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lines in the Poincare disc model

The pink region represents the Poincare disc model of hyperbolic geometry.
Choose a line and two points not on it. Drag the two points on top of each other. Notice you can draw multiple lines through the points and neither intersects the given line.

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area of hyperbolic triangles

Notice the area of a hyperbolic triangle is determined by its angle sum. Drag the vertices of the triangle to see how the area changes as the angle sum changes.

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