Mixing
How to find an intersection between a normal that goes through a vertex and 2 polylines that are on the sides of the polyline containing that vertex?
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This is a little hard to explain, so let's start with a picture:
What I need to do is to find x,y coordinates of the points R1 and R2.
Coordinates of every other point are known.
I am trying to implement this in C#, so the optimal solution would be a function that takes x,y coordinates of known points and calculates x,y coordinates of the unknown points. I tried to combine several methods to solve this, but I failed.
note: there can be a case when the angle α/2 is 90°
geometry analytic-geometry
asked Jul 30 at 13:33
zoran
101
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up vote
0
down vote
favorite
This is a little hard to explain, so let's start with a picture:
What I need to do is to find x,y coordinates of the points R1 and R2.
Coordinates of every other point are known.
I am trying to implement this in C#, so the optimal solution would be a function that takes x,y coordinates of known points and calculates x,y coordinates of the unknown points. I tried to combine several methods to solve this, but I failed.
note: there can be a case when the angle α/2 is 90°
geometry analytic-geometry
asked Jul 30 at 13:33
zoran
101
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
This is a little hard to explain, so let's start with a picture:
What I need to do is to find x,y coordinates of the points R1 and R2.
Coordinates of every other point are known.
I am trying to implement this in C#, so the optimal solution would be a function that takes x,y coordinates of known points and calculates x,y coordinates of the unknown points. I tried to combine several methods to solve this, but I failed.
note: there can be a case when the angle α/2 is 90°
geometry analytic-geometry
asked Jul 30 at 13:33
zoran
101
This is a little hard to explain, so let's start with a picture:
What I need to do is to find x,y coordinates of the points R1 and R2.
Coordinates of every other point are known.
I am trying to implement this in C#, so the optimal solution would be a function that takes x,y coordinates of known points and calculates x,y coordinates of the unknown points. I tried to combine several methods to solve this, but I failed.
note: there can be a case when the angle α/2 is 90°
geometry analytic-geometry
asked Jul 30 at 13:33
zoran
101
asked Jul 30 at 13:33
zoran
101
asked Jul 30 at 13:33
zoran
101
asked Jul 30 at 13:33
zoran
101
101
add a comment |Â
add a comment |Â
1 Answer
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Write the implicit equations of the lines $AB$ and $BC$, in the form $ax+by+c=0$, where the coefficients are normalized so that $a^2+b^2=1$. Then add the two equations to get the equation of the bissectrix.
You will find the intersecting segments by plugging the endpoint coordinates in that equation and observing a change of sign.
answered Jul 30 at 13:44
Yves Daoust
110k665203
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
Write the implicit equations of the lines $AB$ and $BC$, in the form $ax+by+c=0$, where the coefficients are normalized so that $a^2+b^2=1$. Then add the two equations to get the equation of the bissectrix.
You will find the intersecting segments by plugging the endpoint coordinates in that equation and observing a change of sign.
answered Jul 30 at 13:44
Yves Daoust
110k665203
add a comment |Â
up vote
0
down vote
Write the implicit equations of the lines $AB$ and $BC$, in the form $ax+by+c=0$, where the coefficients are normalized so that $a^2+b^2=1$. Then add the two equations to get the equation of the bissectrix.
You will find the intersecting segments by plugging the endpoint coordinates in that equation and observing a change of sign.
answered Jul 30 at 13:44
Yves Daoust
110k665203
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Write the implicit equations of the lines $AB$ and $BC$, in the form $ax+by+c=0$, where the coefficients are normalized so that $a^2+b^2=1$. Then add the two equations to get the equation of the bissectrix.
You will find the intersecting segments by plugging the endpoint coordinates in that equation and observing a change of sign.
answered Jul 30 at 13:44
Yves Daoust
110k665203
Write the implicit equations of the lines $AB$ and $BC$, in the form $ax+by+c=0$, where the coefficients are normalized so that $a^2+b^2=1$. Then add the two equations to get the equation of the bissectrix.
You will find the intersecting segments by plugging the endpoint coordinates in that equation and observing a change of sign.
answered Jul 30 at 13:44
Yves Daoust
110k665203
answered Jul 30 at 13:44
Yves Daoust
110k665203
answered Jul 30 at 13:44
Yves Daoust
110k665203
answered Jul 30 at 13:44
Yves Daoust
110k665203
110k665203
add a comment |Â
add a comment |Â
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