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How to find maximum/minimum on a locus object?
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Hi,
This curve, which is the locus of the angle alpha (scaled) as the point F varies on the xaxis.
Can GeoGebra give the maximum/minimum of this curve?
Files:
locus.ggb
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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
Thanks!
I try to make a function from the list Function(First(<locus>,Length(<locus>))), but that leads to function undefined.
Any idea why?
I dont see how to extract max and min from the list, though.
Min = Element(Sort(Lok1P1, y(Lok1P1)), 1)
y(Lok1P1) > only the yvalues 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 Yvalue because the order is by the Yvalue and NOT by the Xvalue

Max is similar but: only points right from Min (see Lok1P2) because left from Min the Yvalue is about 25 but this is not the Max. (zoom the graphic, then you can see the points left from Min with Yvalue about 25)
The point with the highest Yvalue in the sorted list Lok1P2 is the last. Length(<list>) give this index.
as function (calculate 3 sides with Pythagoras and angle with this calculated 3 sides)
(without locus)
Note: GGBBug in Min/Max and Corner (when shift graphic to left and right)
you can use
f(x) = atan2d(y(A), x(A)  x)  atan2d(y(B), x(B)  x)
then max and min
I supposed in your first post that C varies along xaxix
you can delete alpha in attached
and then solve f'(x) = 0 with CAS :
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