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Hi,
This curve, which is the locus of the angle alpha (scaled) as the point F varies on the x-axis.
Can GeoGebra give the maximum/minimum of this curve?
Files:
locus.ggb
The same question 
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 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
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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.
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)
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 x-axix
you can delete alpha in attached
and then solve f'(x) = 0 with CAS :
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