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Topic: hyperbolic geometry
Replies: 4   Last Post: Nov 21, 2010 10:02 AM

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Karolina Barone

Posts: 3
From: Brazil
Registered: 11/15/10
hyperbolic geometry
Posted: Nov 15, 2010 7:14 AM
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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 Non-Euclidean 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,


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