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hyperbolic geometry
Posted:
Nov 15, 2010 7:14 AM


I'm Brazilian teacher and I have just entered this forum. My English is very poor, but I'll try to explain my doubt.
I study hyperbolic geometry and I have the book "Introduction to NonEuclidean Geometry", by Harold E. Wolfe. I love this book, but some exercises are making me crazy. In the chapter about Saccheri Quadrilateral, there is a exercise that says:
Prove that, if perpendiculars are drawn from the extremities of one side of a triangule to the line passing through the midpoints of the other two sides, a Saccheri Quadrilateral is formed. (page 81)
How can I prove that? In the NonEuclid software is easy to see this, but prove is hard.
Thank you very much,
Karolina.



