Draw implicit curve within interval and curve area?

Math123 shared this question 4 years ago

How to draw

x^2 - y^2 = 1 , 1 <= x <= 2

and draw curve area between Point OAB (not triangle follow hyperbola curve path between AB for area)

2

hello

Files: foro.ggb
1

Hi mathmagic. Thanks for the reply i want out locus outside the hyperbola . Pls see my attachment Area OAB but AB follow the hyperbolic path.

2

x² - y² ≤ 1 ∧ y ≥ 0 ∧ y x(A) ≤ x y(A)

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Thanks it worked . How to draw locus between AB follow hyperbola.

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Curve(1 / cos(t), tan(t), t, 0, acosd(1 / 2))

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@mathmagic

Is it possible to make the bold in the formula depending A (in "curve area.ggb") ?

Curve(1 / cos(t), tan(t), t, 0, acosd(1 / 2))

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acosd(1/x(A))

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for first section of question see this file:

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Thanks for support. how this work your if condition. bucause 0 and ? included what does it mean.

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one solution more

works with Pathparameter and Iteration (instead of Locus)

@ alirezagholamian

great! this prinziple in this use was new for me (the result is undefined when undefined is add)

1

Thanks rami, that's great that matches my think more.

As others share from this i learned what other way we can use. It also helped me. Many Thanks for all Team.

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rami how to make hyp with defined interval.

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Thanks rami

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the hyp at the rami style

Polyline(KeepIf(Min(y(A), y(B)) ≤ y(P) ≤ Max(y(A), y(B)) ∧ x(P) > 0, P, Sequence(Point(eq1, n), n, 0, 1, 0.001)))

@ alirezagholamian

great great. new for me too

Files: foro.ggb
1

Thanks mathmagic . other expression equal with if in my ggb: