| Title:
|
Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its Cartesian equations (English) |
| Author:
|
Mišoň, Karel |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
16 |
| Issue:
|
3 |
| Year:
|
1971 |
| Pages:
|
215-219 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Explicit expression are given for the coordinates of foci and vetices of quadrics in terms of the coefficients of their equations in Cartesian coordinates. Given expressions are restricted on the case of quadrics whose axes are not parallel to the coordinate axes $(a_{12}\neq 0)$. For $a_{12}=0)$, some of the expressions require a limiting process. () |
| MSC:
|
65A05 |
| MSC:
|
65B99 |
| idZBL:
|
Zbl 0218.65003 |
| idMR:
|
MR0287406 |
| DOI:
|
10.21136/AM.1971.103347 |
| . |
| Date available:
|
2008-05-20T17:50:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103347 |
| . |
| Reference:
|
[1] Bydžovský B. : Úvod do analytické geometrie.Praha 1923 resp. 1946. |
| Reference:
|
[2] Kasner E. : The Trajectories of Dynamics.Transactions of the American Mathematical Society 7, 1906,401. MR 1500757 |
| Reference:
|
[3] Mišoň K. : Diferenciálně geometrické a kinematicko-geometrické modely v dynamice silových polí.- Strojnický časopis SAV, XXI, 1970, 630. |
| . |
