B E ||| K F HI J A D A) Prove that the perpendicular bisector to AB is also perpendicular to the line IJ, it is concluded that I and AB are divergent parallels. B) Prove that IJ ==ED, taking into account first when *A is acute and then when A is obtuse (keep in mind that in this case the figure changes), to deduce that in hyperbolic geometry has that ĪJ
B E ||| K F HI J A D A) Prove that the perpendicular bisector to AB is also perpendicular to the line IJ, it is concluded that I and AB are divergent parallels. B) Prove that IJ ==ED, taking into account first when *A is acute and then when A is obtuse (keep in mind that in this case the figure changes), to deduce that in hyperbolic geometry has that ĪJ
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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Transcribed Image Text:Hyperbolic geometry
Observe the figure, using it, carry out the following proofs:
B
E
丰
K
F
C
冊
J
A
D
A) Prove that the perpendicular bisector to AB is also perpendicular
to the line IJ, it is concluded that IJ and AB are divergent
parallels.
2
B) Prove that ĪJ ==ED, taking into account first when *A is acute and
then when XA is obtuse (keep in mind that in this case the figure
changes), to deduce that in hyperbolic geometry has that ĪJ <¹ AB.
Please be as clear as posible, using definitions and explaining and showing all the steps.
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