# 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) 1

Thanks it worked . How to draw locus between AB follow hyperbola. 1

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

@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)) 1

acosd(1/x(A))  2

for first section of question see this file: 1

Thanks for support. how this work your if condition. bucause 0 and ? included what does it mean.  1

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. 1

rami how to make hyp with defined interval. 1

Thanks rami  1

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: 