Hyperbolic geometry quiz solutions
... (i) This is asking you to prove the Gauss-Bonnet Theorem, given in the lecture notes. Here’s the proof given in lectures. Let ∆ be a hyperbolic triangle with internal angles α, β and γ. We first study the case when at least one of the vertices of ∆ belongs to ∂H, and hence the angle at this vertex i ...
... (i) This is asking you to prove the Gauss-Bonnet Theorem, given in the lecture notes. Here’s the proof given in lectures. Let ∆ be a hyperbolic triangle with internal angles α, β and γ. We first study the case when at least one of the vertices of ∆ belongs to ∂H, and hence the angle at this vertex i ...
Maths Model Paper
... 41. In fig AOB is a diameter of the circle with centre O, BD is a chord and OB and BD are joined. If then equals ...
... 41. In fig AOB is a diameter of the circle with centre O, BD is a chord and OB and BD are joined. If then equals ...
