
Re: Can the Lobachevsky plane be embedded into R^3 ?
Posted:
Mar 15, 2007 8:35 AM


Hero a écrit : > Denis Feldmann wrote: >> Hero a écrit : >> >>> Thomas Mautsch wrote: >>>> Hero wrote: >>>>> On 5 Mrz., 22:07, k...@msiu.ru wrote: >>>>>> Can the Lobachevsky plane be embedded into R^3 ? >>> ...... >>> ...... >>>>> The answer is no. >>>>> Lobachevsky is contradicting Euclid's fifth postulate. >>>> This is completely irrelevant nonsense! >>> You can read in Wiki: > >> Do you realize at what level the answer was posted ? Thanks for >> reminding us all basic truths, and insisting on your misconceptions... >> It was *still* irrelevant (nonsense, I would not have been so harsh on >> first posting, but now...) >> >>> ,,Lobachevsky would instead develop a geometry in which the fifth >>> postulate was not true >>> ... >>> Lobachevsky replaced Euclid's parallel postulate with the postulate >>> that there is more than one parallel line through any given point; a >>> famous consequence is that the sum of angles in a triangle must be >>> less than 180 degrees. ,, >>> http://en.wikipedia.org/wiki/Nicolai_Ivanovich_Lobachevsky >> Somehow, I had missed that. Who is that guy again? > > Here is that guy Lobachevsky: > Geometrical researches on the theory of parallels > http://www.hti.umich.edu/cgi/t/text/textidx?c=umhistmath;idno=AAN2339
> > Lower level of completely irrelevant nonsense... > >> Was Euclid wrong, >> after all? > > Lobachevsky says, that he was wrong. What is Your answer?
My answer is that you are not only incompetent in the kind of mathematics involved, but also at recognizing sarcasm...
> > With friendly greetings > Hero >

