Difference between revisions of "Cubic Command"
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|geometry}} |
| − | {{command|geometry}} | + | ;Cubic( <Point>, <Point>, <Point>, <Number> ) |
| − | ;Cubic | ||
:Gives ''n''-th [http://bernard.gibert.pagesperso-orange.fr/ctc.html triangle cubic] of the given triangle ''ABC''. | :Gives ''n''-th [http://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 | + | :{{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 index ''n'' is changing.}} | {{Note|This command is in development, set of supported index ''n'' is changing.}} | ||
==Some common triangle cubics== | ==Some common triangle cubics== | ||
Revision as of 10:04, 11 October 2017
- 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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