How to make points on two curves having same x-coordinate change?

Math123 shared this question 4 years ago

Answered

Pls see attached.

I have two curves. Draw one point on each curve how make these two points x-coordinate always same. As i move one point the same way x-coordinate of second point change.

Files: Curve Point.ggb

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Comments (6)

frndmrsl ● 4 years ago

May be B=(x(A), g(x(A)))

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Math123 ● 4 years ago

Thanks frndmrsl , This way B = (x(A),g(x(A))) . When moving A can move B, not B moving. Is it possible both way point moving.

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Pierre Rubod ● 4 years ago

It's normal, because in this way the point B becomes dependant from point A.

Try to use a slider "t" and define A=(t,f(t)) and B=(t,g(t))

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M_OLoughlin ● 4 years ago

Yes, the slider works fine. As an alternative you could do the following:

Place a point on the x-axis. (point C)
Construct a line through C that is perpendicular to the x-axis. (line h)
Find the intersection of h and f or redefine A to be Intersect(h, f).
Find the intersection of h and g or redefine B to be Intersect(h, g).

Then as you drag C along the x-axis, the two points on the curves move together.

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alirezagholamian ● 4 years ago

see script of A and B points

Files: Curve Point.ggb

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frndmrsl ● 4 years ago

@ alirezagholamian simple et en parfaite adéquation avec la question . Bravo .

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