| Title:
|
Nejkratší spojnice vrcholů čtverce (Czech) |
| Title:
|
The shortest line connecting the vertices of a square (English) |
| Author:
|
Hrubý, Dag |
| Author:
|
Kašparová, Martina |
| Language:
|
Czech |
| Journal:
|
Učitel matematiky |
| ISSN:
|
1210-9037 |
| Volume:
|
21 |
| Issue:
|
4 |
| Year:
|
2013 |
| Pages:
|
193-201 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The article concerns the following problem: Given square $ABCD$ with the side of 1. Find points $E,F$ so that the sum $l=|AE|+|DE|+|EF|+|BF|+|CF|$ is the smallest possible. Four solutions are given which are examples of the connection between several mathematical disciplines (geometry, algebra and calculus). The article concludes with a note on the history of the presented problem (leading to P. Fermat and others). (English) |
| MSC:
|
97G40 |
| . |
| Date available:
|
2022-03-09T14:47:04Z |
| Last updated:
|
2022-03-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149511 |
| . |
