<![CDATA[how to combine multiple equations?]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations
Thu, 19 Mar 2020 13:51:38 +0000Wed, 18 Mar 2020 01:24:36 +0000Zend_Feed<![CDATA[in not derivable way using arc of conic]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277584
Wed, 18 Mar 2020 05:20:06 +0000<![CDATA[* Intersect them * use Arc( <Ellipse>, <Point>, <Point> ) * put them in a list (& post your .ggb file)]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277588
Wed, 18 Mar 2020 07:35:09 +0000<![CDATA[Perhaps you want use a parametric spline https://www.geogebra.org/m/z8jpdcpr Or Bézier curves https://www.geogebra.org/m/sX7dmW6F]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277604
Wed, 18 Mar 2020 10:17:32 +0000<![CDATA[Thanks! My .ggb file was a bit of a mess since it had a lot of additional stuff unrelated to the question. Often I find it's not easy to create a new ggb file based on existing ggb files, because somehow select-copy-paste operation fails between two ggb files that are open in two instances of the GeoGebra Geometry app and it's cumbersome to manually type over large expressions just to transfer them between two open ggb files.]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277606
Wed, 18 Mar 2020 10:13:55 +0000<![CDATA[Yes, I was kind of exploring to see if there is a natural or simple polar curve that matches up with the shape of an egg. I can find one, but it's upside down (so I have to reflect it) and I'm still trying to figure out how to modify the equation of the curve so I no longer need that extra step to flip the curve upside down. https://i.imgur.com/1fCRaHe.png]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277612
Wed, 18 Mar 2020 10:22:41 +0000<![CDATA[If you post your .ggb file then we can help Also you might like to try the FitImplicit() command if you're after a single formula]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277630
Wed, 18 Mar 2020 14:22:06 +0000<![CDATA[Ok, here is the ggb file. So I have the polar parametric curve which closely matches the shape of the egg, except that it's upside down, so I need an extra step to flip it upside down. How would I modify the expression for the polar parametric curve so I don't need the extra step to reflect the curve?]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277632
Wed, 18 Mar 2020 14:35:19 +0000<![CDATA[Try using this (cartesian) form Curve((((v2 - 1) cos(2t - π) + 1) sin(t)^0.89)*cos(t), (((v2 - 1) cos(2t - π) + 1) sin(t)^0.89)*sin(t), t, 0, 2pi)
and now you can easily translate and reflect by just changing the x or y components]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277634
Wed, 18 Mar 2020 14:54:05 +0000<![CDATA[Yes, that would be an option. But it seems to complicate the expression quite a bit. Also, I'm curious about how one would do it for the polar form. Basically I'm just kind of playing around with it to obtain some intuition for the relationship between simple functions like the sine and simple shapes, like circles, ellipses or egg shapes. Intuitively I'd think that there must be some elementary modifications of the sine function to obtain an ellipse or an egg shape instead of a circle within the framework of polar parametric curves.]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277650
Thu, 19 Mar 2020 00:17:59 +0000<![CDATA[Playing with Locus instead of equations..]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277654
Thu, 19 Mar 2020 07:45:12 +0000<![CDATA[But ultimately I would like to end up with an equation or something I can use in other situations.]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277656
Thu, 19 Mar 2020 11:29:37 +0000<![CDATA[If you want to reflect/translate - I think it needs to be in cartesian form]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277670
Thu, 19 Mar 2020 13:08:24 +0000<![CDATA[From what I recall it would make it a lot easier in cartesian form, but it's still possible to do it in polar form. For instance in this ggb file I've used a polar parametric function to create circular curves corresponding to circles translated to evenly spaced locations along a bigger circle.]]>
https://help.geogebra.org/topic/how-to-combine-multiple-equations#comment-277672
Thu, 19 Mar 2020 13:55:14 +0000