Function Posted December 7, 2013 Share Posted December 7, 2013 (edited) Hello everyone I'd like to know if following notations are correct, as first steps in order to get the canonical equations for a parabola, ellips and hyperbola: Parabola Given the focus [math]F\left(0,\frac{p}{2}\right)[/math] and directive [math]d\leftrightarrow y=\frac{-p}{2}[/math] of a parabola [math]\mathcal{P}[/math]. [math]\mathcal{P}:=\forall P(x,y):\left|PF\right|=d(P,d)[/math]. Ellips Given the focusses [math]F_1\left(c,0\right)[/math] and [math]F_2\left(-c,0\right)[/math] of an ellips [math]\mathcal{E}[/math] with main axis [math]2a[/math]. [math]\mathcal{E}:=\forall P(x,y):\left|PF_1\right|+\left|PF_2\right|=2a[/math] Hyperbola (same as ellips but with - instead of +) Are these notations correct? Edited December 7, 2013 by Function Link to comment Share on other sites More sharing options...
studiot Posted December 7, 2013 Share Posted December 7, 2013 Does the first part of of your parabola statement make sense? " P1 is the set of all P (xy) contained in P1 " I have used P1 for your script P. Link to comment Share on other sites More sharing options...
Function Posted December 7, 2013 Author Share Posted December 7, 2013 (edited) Does the first part of of your parabola statement make sense? " P1 is the set of all P (xy) contained in P1 " I have used P1 for your script P. edited; is it now a correct notation? Edited December 7, 2013 by Function Link to comment Share on other sites More sharing options...
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