Intersection of two cones

Prof. Caju shared this question 2 months ago
Answered

How can I obtain a line resulting from the intersection of two cones that have same vertex and infinit height?

My purpose is to draw a line that have 60 degrees from two other lines in order to obtain a pyramid with base ABC and apex V that has angles AVC=CVB=BVA=60º.

Kind regards,

Comments (6)

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Please post your .ggb file

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Thanks for the answer, Michael.

I want the intersection of the red cone with the green cone in the file attached.

Kind regards,

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I tried the command

Intersect(a, d)

But it just yields an "undefined" conic as result.

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Sorry, that's not supported in GeoGebra (BTW one of your cones is an elliptic cone)


https://www.wolframalpha.co...


x<=0 and y = (3650401 x - sqrt(53301709843201) abs(x))/6322680 and z = ± (sqrt(-x) sqrt(3650401 sqrt(53301709843201) abs(x) - 26650854921601 x))/(1053780 sqrt(6))

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me gustó mucho el proceso de interseccion y me puse a averiguar cada detalle, se me bloqueaba el PC si ponia demasiados puntos y se me ocurrió este otro procedimiento. puede ser poco estable porque usa locus pero podría ser util para intersecciones parecidas y por eso lo subo aquí

Files: foro.ggb
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