Yeshwantpur
Associate Instructor  Hofstra University
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Uncontrolled vocabularies
"I try my best to make *all* my posts nice, even when I feel upset"  Philippe Maquet
Associate Instructor  Hofstra University
Amazon Top 750 reviewer  Blog  Unresolved References  Book Review Blog
"I'm not back."  Bill Harding, Twister
Any posted remarks that may or may not seem offensive, intrusive or politically incorrect are not truly so.
RusUSA.com  Russian America today  Guide To Russia
"I'm not back."  Bill Harding, Twister
"I'm not back."  Bill Harding, Twister
If two lines don't intersect then don't they have to be parallel in Euclidean geometry?Originally posted by Jim Yingst:
Who said they don't intersect? But even if they don't, that hardly implies they are parallel. It's certainly not true for lines anyway.
Associate Instructor  Hofstra University
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If two lines don't intersect then don't they have to be parallel in Euclidean geometry?
"I'm not back."  Bill Harding, Twister
Originally posted by Jim Yingst:
Not unless you're thinking of a restricted subset of Euclidean geometry.
Any posted remarks that may or may not seem offensive, intrusive or politically incorrect are not truly so.
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"I'm not back."  Bill Harding, Twister
"I'm not back."  Bill Harding, Twister
<dl>
<dt>Lisa</dt><dd>Well, where's my Dad?</dd>
<dt>Frink</dt><dd>Well, it should be obvious to even the most dimwitted individual who holds an advanced degree in hyperbolic topology, n'hey, that Homer Simpson has stumbled into...[the lights go off] the third dimension.</dd>
<dt>Lisa</dt><dd>[turning the lights back on] Sorry.</dd>
<dt>Frink</dt><dd>[drawing on a blackboard] Here is an ordinary square </dd>
<dt>Wiggum</dt><dd>Whoa, whoa  slow down, egghead!</dd>
<dt>Frink</dt><dd> but suppose we extend the square beyond the two dimensions of our universe, along the hypothetical "Z" axis, there.</dd>
<dt>Everyone</dt><dd>[gasps]</dd>
<dt>Frink</dt><dd>This forms a threedimensional object known as a "cube", or a "Frinkahedron" in honor of its discoverer, n'hey, n'hey.</dd>
<dt>Homer</dt><dd>[disembodied] Help me! Are you helping me, or are you going on and on?</dd>
<dt>Frink</dt><dd>Oh, right. And, of course, within, we find the doomed individual.</dd>
</dl>
"I'm not back."  Bill Harding, Twister
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