<![CDATA[How to find maximum/minimum on a locus object?]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object
Sun, 14 Apr 2019 13:10:03 +0000Thu, 11 Apr 2019 19:57:39 +0000Zend_Feed<![CDATA[With First(<locus>,Length(<locus>)) you can create a list with all points of a locus see: https://wiki.geogebra.org/e... To select the points see attachment]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259168
Fri, 12 Apr 2019 06:47:52 +0000<![CDATA[Thanks! I try to make a function from the list Function(First(<locus>,Length(<locus>))), but that leads to function undefined. Any idea why?]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259190
Fri, 12 Apr 2019 08:52:42 +0000<![CDATA[I see that the definition of function requires a special list in its constructor. Your max/min approach is fine.]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259192
Fri, 12 Apr 2019 09:08:04 +0000<![CDATA[I dont see how to extract max and min from the list, though.]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259200
Fri, 12 Apr 2019 09:56:04 +0000<![CDATA[Min = Element(Sort(Lok1P1, y(Lok1P1)), 1) y(Lok1P1) --> only the y-values of the points Sort(<list1>,<list2>) --> sort list2 then sort list1 in the sequence of list2 Element(<pointList>, 1) --> take the first Point from pointList this Point has the lowest Y-value because the order is by the Y-value and NOT by the X-value ------------------------------------ Max is similar but: only points right from Min (see Lok1P2) because left from Min the Y-value is about 25 but this is not the Max. (zoom the graphic, then you can see the points left from Min with Y-value about 25) The point with the highest Y-value in the sorted list Lok1P2 is the last. Length(<list>) give this index.]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259218
Fri, 12 Apr 2019 11:19:07 +0000<![CDATA[as function (calculate 3 sides with Pythagoras and angle with this calculated 3 sides) (without locus) Note: GGB-Bug in Min/Max and Corner (when shift graphic to left and right)]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259226
Fri, 12 Apr 2019 15:44:16 +0000<![CDATA[you can use f(x) = atan2d(y(A), x(A) - x) - atan2d(y(B), x(B) - x) then max and min ]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259236
Fri, 12 Apr 2019 21:14:12 +0000<![CDATA[I dont see what this function has to do with the problem of measuring the angle beta as B varies along x-axix.]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259262
Sat, 13 Apr 2019 14:45:23 +0000<![CDATA[I supposed in your first post that C varies along x-axix you can delete alpha in attached]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259266
Sat, 13 Apr 2019 15:02:12 +0000<![CDATA[Nice!]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259288
Sat, 13 Apr 2019 22:48:47 +0000<![CDATA[Nice!]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259290
Sat, 13 Apr 2019 23:06:45 +0000<![CDATA[and then solve f'(x) = 0 with CAS :]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259294
Sun, 14 Apr 2019 07:37:47 +0000<![CDATA[That is a decent solution. However, what i really miss in this is the ability to give a Locus-object as a input to the constructor for a function object. (The function becomes either a parametric curve (x(t),y(t)) or a function y=f(x)). Anyone interested in extending GeoGebra with this functionality?]]>
https://help.geogebra.org/topic/how-to-find-maximumminimum-on-a-locus-object#comment-259320
Sun, 14 Apr 2019 13:10:03 +0000