Timeline for Generalizing Pythagorean Theorem: equations defining edges of a (convex) $n$-gon with $n-2$ prescribed angles?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 18, 2023 at 6:28 | vote | accept | Hailong Dao | ||
| Feb 12, 2023 at 6:01 | comment | added | Ivan Izmestiev | It suffices because the left hand side is the distance between the endpoints of a polygonal line determined by its edge lengths and angles between the edges. So if the equation holds, this open polygonal line can be closed by an edge of length $e_{n-1}$. | |
| Feb 11, 2023 at 18:27 | comment | added | Hailong Dao | Thank you for the answer. How do we show that just that equation suffices? | |
| Feb 10, 2023 at 16:14 | history | answered | Ivan Izmestiev | CC BY-SA 4.0 |