Difference between revisions of "Cubic Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geometry}} |
− | {{command|geometry}} | + | ;Cubic( <Point>, <Point>, <Point>, <Number> ) |
− | ;Cubic | + | :Gives ''n''-th [https://bernard-gibert.pagesperso-orange.fr/ctc.html triangle cubic] of the given triangle ''ABC''. |
− | : | + | :{{example|1=<div>Let ''A = (0, 1)'', ''B = (2, 1)'' and ''C = (1, 2)''. <br><code><nowiki>Cubic(A, B, C, 2)</nowiki></code> yields the implicit curve ''-x³ + 3x² + 5x y² - 14x y + 7x - 5y² + 14y = 9''.</div>}} |
− | {{Note|This command is in development, set of supported ''n'' is changing.}} | + | {{Note|This command is in development, set of supported index ''n'' is changing.}} |
+ | ==Some common triangle cubics== | ||
+ | {| class=pretty | ||
+ | !Index n | ||
+ | !Cubic | ||
+ | |- | ||
+ | |1 | ||
+ | |Neuberg Cubic | ||
+ | |- | ||
+ | |2 | ||
+ | |Thomson Cubic | ||
+ | |- | ||
+ | |3 | ||
+ | |McCay Cubic | ||
+ | |- | ||
+ | |4 | ||
+ | |Darboux Cubic | ||
+ | |- | ||
+ | |5 | ||
+ | |Napoleon/Feuerbach Cubic | ||
+ | |- | ||
+ | |7 | ||
+ | |Lucas Cubic | ||
+ | |- | ||
+ | |17 | ||
+ | |1st Brocard Cubic | ||
+ | |- | ||
+ | |18 | ||
+ | |2nd Brocard Cubic | ||
+ | |} |
Latest revision as of 10:41, 15 June 2022
- Cubic( <Point>, <Point>, <Point>, <Number> )
- Gives n-th triangle cubic of the given triangle ABC.
- Example:Let A = (0, 1), B = (2, 1) and C = (1, 2).
Cubic(A, B, C, 2)
yields the implicit curve -x³ + 3x² + 5x y² - 14x y + 7x - 5y² + 14y = 9.
Note: This command is in development, set of supported index n is changing.
Some common triangle cubics
Index n | Cubic |
---|---|
1 | Neuberg Cubic |
2 | Thomson Cubic |
3 | McCay Cubic |
4 | Darboux Cubic |
5 | Napoleon/Feuerbach Cubic |
7 | Lucas Cubic |
17 | 1st Brocard Cubic |
18 | 2nd Brocard Cubic |
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