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Find a point that best fits criteria
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For example, if I have a circle with diameter AB and I want a point P such that AP/BP = 2.
I know this particular example could be done with some geometric properties, but I want a generalized way to do this. Like find a point on a parabola such that the ratio of distance from circle w_1 and w_2 is 11/3 or something.
I just want GeoGebra to test like a million points and find the best one. Is there a way to do this?
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I think there are infinite such points. Do you want them all? (ie a locus)
Or do you mean it has to lie on the circle?
Try this https://www.geogebra.org/m/v8gff48m
AP= ratio*BP is a circle. create it and intersect with the object you want
for another objects think that ie: distance(P,circle)=distance(P,centre)radius etc
share news construction if you need help
sorry
type eq1: (x  x(A))² + (y  y(A))² = ratio^2 * ((x  x(B))² + (y  y(B))²) in foro.ggb attached in previous post for better use of ratio
¡marditas prisas!
This is actually Apollonius circle construction controlled (by sliderratio)..GIven segment AB, divide it internally and externally at points C and D using the ratio value and then draw circle with CD as the diameter. Any point P on this circle divides AB in the given ratio.
Yo propuse este método porque se puede adaptar a otras situaciones
por ejemplo a una circunferencia y una recta
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