<![CDATA[inequalities in polar form]]>
https://help.geogebra.org/topic/inequalities-in-polar-form
Mon, 30 Dec 2019 01:35:57 +0000Fri, 27 Dec 2019 12:29:50 +0000Zend_Feed<![CDATA[Try Curve((sin(θ); θ), θ, 0, π)
then you can increase its opacity (and also check "inverse filling" if you want)]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272946
Fri, 27 Dec 2019 21:01:28 +0000<![CDATA[Ah yes, that works, but would it also be possible to obtain logical combinations if you have multiple polar parametric curves? Similar to how you can do something like (where c is a logical combination of a and b): a: y < sin(x) b: x < sin(y) c: a(x,y) ∧ b(x,y)]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272958
Fri, 27 Dec 2019 22:20:24 +0000<![CDATA[please, give a concrete example with ρ and θ like Curve((cos(θ) + sin(θ) - abs(cos(θ) - sin(θ)) / 2; θ), θ, 0, 2π) for ρ<cos(θ)&&ρ<sin(θ)]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272964
Sat, 28 Dec 2019 09:39:29 +0000<![CDATA[In this example (in the attached ggb file) you can see c1 is easy to define logically in terms of a1 and b1. If I try something similar for parametric polar curves to obtain the same shapes, I don't see an easy way to obtain c2 from a2 and b2, but perhaps the curves in the example should have the same start and end values for the parameter for this approach to work.]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272982
Sat, 28 Dec 2019 22:24:27 +0000<![CDATA[Exemple]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272986
Sun, 29 Dec 2019 03:17:32 +0000<![CDATA[desigualdad en coordenadas polares deberia ser más especifica ejemplo: ¿ ρ ≤ θ debería colorear el (1,1)=(sqrt(2);π/4)=(sqrt((2);9π/4) sí o no? para zonas encerradas por curvas en polares puede ver esto https://www.geogebra.org/m/...]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272990
Sun, 29 Dec 2019 08:46:02 +0000<![CDATA[Ah ok, that would be a way, but it doesn't seem feasible for more complicated shapes that intersect in many places.]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-272992
Sun, 29 Dec 2019 10:18:40 +0000<![CDATA[Please give a concrete example]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273000
Sun, 29 Dec 2019 14:34:11 +0000<![CDATA[Well, for instance, suppose I have a pattern like this and I want something similar in polar form instead of rectangular form? https://i.imgur.com/jTTAeFT.png https://i.imgur.com/ulq69S8.png]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273010
Sun, 29 Dec 2019 19:06:32 +0000<![CDATA[then curve is enough f(x) must be periodic]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273020
Sun, 29 Dec 2019 20:21:54 +0000<![CDATA[No, because I might want to work constructing such a pattern from constituent shapes like rectangles and circles. The logic operators allow for an easy approach to compose complex shapes from basic shapes defined by inequalities. Why would it only be useful to use these logical operators on inequalities in a rectangular framework and not in a polar framework?]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273026
Sun, 29 Dec 2019 20:33:58 +0000<![CDATA[Ou remplir la forme]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273030
Sun, 29 Dec 2019 20:49:40 +0000<![CDATA[That's a different visual pattern and I don't see an easy way to come up with a formula for a complicated curve that matches up with the visual pattern obtained from logical combinations of circles and rectangles of varying sizes. Also, with filling up you have just one option, to fill it up or not (or perhaps two options, since we can invert the filling). With logical combinations you have way more options because different ways of combining logical operators can be used to fill up areas in different ways. I'm exploring the possibilities of GeoGebra as a tool for creating abstract geometric art along these lines (images found online): https://imgur.com/a/HooEmiW]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273032
Sun, 29 Dec 2019 21:35:00 +0000<![CDATA[define circles, rectangles, triangles, ovoides o cualquier forma a partir de los datos; crea una herramienta para ello y usala para crear combinaciones de ellas]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273036
Sun, 29 Dec 2019 22:13:13 +0000<![CDATA[Oh, I see there is a way to kind of work around it that doesn't involve curves.]]>
https://help.geogebra.org/topic/inequalities-in-polar-form#comment-273042
Mon, 30 Dec 2019 01:35:57 +0000