File:Parabolas for different p values.gif
Jump to navigation
Jump to search
No higher resolution available.
Parabolas_for_different_p_values.gif (400 × 400 pixels, file size: 187 KB, MIME type: image/gif, looped, 10 frames, 10 s)
Captions
Captions
Add a one-line explanation of what this file represents
Summary[edit]
| Description |
English: Let p denote the distance from the focus to the directrix of a parabola, (0,0) being in parabola's vertex y axis coinciding with parabola's axis. Then if p changes, a point on parabola with the same ordinate as ordinate of the focus, will lie on the line y=x/2. As p increases ordinate of the focus also increases, hence abscissa of the point mentioned above increases too. Therefore, when p increases, parabola "spreads" along x axis. Foci and directrices are in blue. Русский: Парабола при различных расстояниях от фокуса до директрисы (p). Пусть ось y совпадает с осью параболы, а начало координат — с её вершиной. Тогда при увеличении p точка параболы с ординатой, равной ординате фокуса будет лежать на прямой y=x/2 (по определению параболы). Ордината фокуса с ростом p будет увеличиваться, значит, будет увеличиваться и абсцисса указанной точки. Следовательно, при увеличении p парабола будет «расширяться» вдоль оси x. Фокусы и директрисы выделены синим. |
| Date | |
| Source | Own work |
| Author | Cmapm |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:01, 14 September 2012 | | 400 × 400 (187 KB) | Cmapm (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
