Yeshwantpur
Associate Instructor - Hofstra University
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Any posted remarks that may or may not seem offensive, intrusive or politically incorrect are not truly so.
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"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
Amazon Top 750 reviewer - Blog - Unresolved References - Book Review Blog
"I'm not back." - Bill Harding, Twister
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.
RusUSA.com - Russian America today - Guide To Russia
"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 dim-witted 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 three-dimensional 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