a g|AA¡|

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let l be a given line. If g is another line, we say that l and g are equidistant
if for every A, B on g |AA¡| = |BB||
1. Show that if g and l are equidistant, then g = l or g and l are parallel.
2. Show that Playfair's postulate or the parallel postulate (whichever you prefer) im-
plies that parallel lines g and l are equidistant.
Transcribed Image Text:Let l be a given line. If g is another line, we say that l and g are equidistant if for every A, B on g |AA¡| = |BB|| 1. Show that if g and l are equidistant, then g = l or g and l are parallel. 2. Show that Playfair's postulate or the parallel postulate (whichever you prefer) im- plies that parallel lines g and l are equidistant.
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