True or False Questions :

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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True or False Questions :

(18) In hyperbolic geometry, if P is a point not lying on line l, then
there are exactly two lines through P parallel to l.
(19) In hyperbolic geometry, if P is a point not lying on line l, then
there are exactly two lines through P perpendicular to l.
(20) In hyperbolic geometry, if I || m and m || n, then 1 || n (transi-
tivity of parallelism).
(21) In hyperbolic geometry, if m contains a limiting parallel ray to
1, then I and m have a common perpendicular.
(22) In hyperbolic geometry, if l and m have a common perpendic-
ular, then there is one point on m that is closer to l than any
other point on m.
(23) In hyperbolic geometry, if m does not contain a limiting par-
allel ray to l and if m and l have no common perpendicular,
then m intersects l.
(24) In hyperbolic geometry, the summit of any Saccheri quadrilat-
eral is greater than the base.
Transcribed Image Text:(18) In hyperbolic geometry, if P is a point not lying on line l, then there are exactly two lines through P parallel to l. (19) In hyperbolic geometry, if P is a point not lying on line l, then there are exactly two lines through P perpendicular to l. (20) In hyperbolic geometry, if I || m and m || n, then 1 || n (transi- tivity of parallelism). (21) In hyperbolic geometry, if m contains a limiting parallel ray to 1, then I and m have a common perpendicular. (22) In hyperbolic geometry, if l and m have a common perpendic- ular, then there is one point on m that is closer to l than any other point on m. (23) In hyperbolic geometry, if m does not contain a limiting par- allel ray to l and if m and l have no common perpendicular, then m intersects l. (24) In hyperbolic geometry, the summit of any Saccheri quadrilat- eral is greater than the base.
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