Timeline for theorems equivalent to the parallel postulate
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2019 at 1:57 | comment | added | j0equ1nn | The parallel line postulate is true is Euclidean geometry, so as long as you are doing Euclidean geometry, all true statements are logically equivalent to it. | |
| Mar 2, 2018 at 5:15 | history | edited | Martin Sleziak |
removed deprecated (geometry) tag - see the tag info: http://mathoverflow.net/tags/geometry/info; if there are some other geometry-related tags which are suitable, please use some of them instead
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| Apr 19, 2012 at 15:30 | comment | added | Emilio Pisanty | It sounds like he stopped counting when he ran out of letters to index them | |
| Mar 22, 2012 at 8:07 | answer | added | James Propp | timeline score: 2 | |
| Mar 9, 2012 at 11:33 | comment | added | Doug Chatham | Here's a list of 26 with a reference to the source of the list: ics.uci.edu/~eppstein/junkyard/parallel-postulate.html | |
| Mar 7, 2012 at 13:29 | comment | added | Robert Bryant | It has been a while since I last looked, but I remember that M. J. Greenberg has a very long list of theorems equivalent to the parallel postulate in his book "Euclidean and non-Euclidean Geometries: Development and History". | |
| Mar 5, 2012 at 22:10 | comment | added | James Propp | In view of Noam's comment, I should clarify what I want, which is a pointer to the most comprehensive (and not too hard to find) existing list of theorems equivalent to the parallel postulate. The Wikipedia article lists 14, but I suspect longer lists have been created. | |
| Mar 5, 2012 at 3:09 | comment | added | Will Jagy | found this: en.wikipedia.org/wiki/… | |
| Mar 5, 2012 at 2:56 | comment | added | Andrés E. Caicedo | A fairly decent list is in the book "Higher geometry" by Efimov (Mir eds.) | |
| Mar 5, 2012 at 2:43 | comment | added | Noam D. Elkies | Do you mean all the theorems in Euclid equivalent to that postulate? "Euclidean geometry" encompasses many theorems not in the surviving manuscripts (and of course infinitely many others...) so a complete list in this wider sense seems well out of reach. | |
| Mar 5, 2012 at 2:29 | history | asked | James Propp | CC BY-SA 3.0 |