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Now, suppose we decide to work in Hyperbolic Geometry. What do we know about angle ACD elative to the angles at A and B, e.g., what can be said about an exterior angle relative to its pposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27 D

Now, suppose we decide to work in Hyperbolic Geometry. What do we know about angle ACD elative to the angles at A and B, e.g., what can be said about an exterior angle relative to its pposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27 D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Now, suppose we decide to work in Hyperbolic Geometry. What do we know about angle ACD relative to the angles at A and B, e.g., what can be said about an exterior angle relative to its opposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27
Transcribed Image Text:Now, suppose we decide to work in Hyperbolic Geometry. What do we know about angle ACD relative to the angles at A and B, e.g., what can be said about an exterior angle relative to its opposite interior angles? How do you know so? (In other words, informally justify your claim.) Let AABC be given, and suppose D is a point on BC such that B - C - D. Then ZACD is called an exterior angle of the given triangle. The angles at A and B of AABC are called opposite interior angles of ZACD. ( EXTERIOR ANGLE OF A TRIANGLE Figure 3.27
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