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19-Tanzanite

## Plotting the points of intersection on the graph ?

Hello Everyone.

From :

To the question : Plotting the points of intersection on the graph ?

1 ACCEPTED SOLUTION

Accepted Solutions
23-Emerald I
(To:lvl107)

Emperically:

8 REPLIES 8
23-Emerald III
(To:lvl107)

The points where the curve intersects with itself are plotted on the graph.... along with a lot of other points.

If you want the coordinates of the intersection points plotted in readable text next to them, you need to define a few more curves to get them in.

Refer to the great work "Creating amazing images with mathcad" by Byrge Birkeland for ideas on how to do that.

Success!
Luc

24-Ruby V
(To:lvl107)

19-Tanzanite
(To:lvl107)

How many points of intersection on the graph ?

23-Emerald III
(To:lvl107)

Sorry, I misunderstood your original question.

To solve the problem at hand, I would mathematically create the lissajous-shape in 3D, then make a projection of it on a (2D) surface and find the intersecting points of it.

Why the detour? because now you only have two expressions, and a single running variable. I see no path where that brings you to more than 2 solutions.

Success!
Luc

23-Emerald I
(To:lvl107)

Emperically:

19-Tanzanite
(To:lvl107)

I greatly appreciate all of your time and help. Werner, Luc, and Fred.       . I'm very, very happy. And I think I still need help with the two of question, the above, on cos(  ) function :

Best Regards.

Loi

19-Tanzanite
(To:lvl107)

From :

So I have a query : How to rotate a graph (pi/2) clockwise and (pi/2) counter-clockwise ?

Best Regards.

Loi

24-Ruby V
(To:lvl107)

> How to rotate a graph (pi/2) clockwise and (pi/2) counter-clockwise ?

clockwise: replace the x(t) on the abscissa by y(t) and the y(t) on the ordinate by -x(t)

counter clockwise: replace the x(t) on the abscissa by -y(t) and the y(t) on the ordinate by x(t)

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