Determine if a point lies in a quadrangle The 2019 Stack Overflow Developer Survey Results Are InHow to check if a point is inside a rectangle?Determine transformation from set of pointsAngle between different rays (3d line segments) and computing their angular relationshipsDetermine third point of triangle when two points and all sides are known?Determine if one point lies between two other points on a sphereDetermine third point of triangle when two points and all sides are knownHow can I determine where in the square this point lies?Geometry - Determine all points along a ray from starting coordinates and directionDetermine if a Point is inside a polygon without coordinatescalculating dividing lines of a quadrangle, with perspective.Coordinates, determine the point of origin or points of origin.
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Determine if a point lies in a quadrangle
The 2019 Stack Overflow Developer Survey Results Are InHow to check if a point is inside a rectangle?Determine transformation from set of pointsAngle between different rays (3d line segments) and computing their angular relationshipsDetermine third point of triangle when two points and all sides are known?Determine if one point lies between two other points on a sphereDetermine third point of triangle when two points and all sides are knownHow can I determine where in the square this point lies?Geometry - Determine all points along a ray from starting coordinates and directionDetermine if a Point is inside a polygon without coordinatescalculating dividing lines of a quadrangle, with perspective.Coordinates, determine the point of origin or points of origin.
$begingroup$
I have a quadrangle which sides consist of parts of rays, and I only know the coordinates of two points on each ray.
I need to determine if a point(x,y) lies in such quadrangle.
In this picture, I painted the sides of the quadrangle red in case you don't understand about what quadrangle I'm talking.
geometry euclidean-geometry polygons quadrilateral
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I have a quadrangle which sides consist of parts of rays, and I only know the coordinates of two points on each ray.
I need to determine if a point(x,y) lies in such quadrangle.
In this picture, I painted the sides of the quadrangle red in case you don't understand about what quadrangle I'm talking.
geometry euclidean-geometry polygons quadrilateral
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
$begingroup$
Can you determine the intersection points of the rays?
$endgroup$
– Dr. Mathva
Apr 6 at 18:04
$begingroup$
Possible duplicate of How to check if a point is inside a rectangle?
$endgroup$
– Dr. Mathva
7 hours ago
add a comment |
$begingroup$
I have a quadrangle which sides consist of parts of rays, and I only know the coordinates of two points on each ray.
I need to determine if a point(x,y) lies in such quadrangle.
In this picture, I painted the sides of the quadrangle red in case you don't understand about what quadrangle I'm talking.
geometry euclidean-geometry polygons quadrilateral
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I have a quadrangle which sides consist of parts of rays, and I only know the coordinates of two points on each ray.
I need to determine if a point(x,y) lies in such quadrangle.
In this picture, I painted the sides of the quadrangle red in case you don't understand about what quadrangle I'm talking.
geometry euclidean-geometry polygons quadrilateral
geometry euclidean-geometry polygons quadrilateral
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
asked Apr 6 at 17:31
Kedel MihailKedel Mihail
62
62
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Kedel Mihail is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$begingroup$
Can you determine the intersection points of the rays?
$endgroup$
– Dr. Mathva
Apr 6 at 18:04
$begingroup$
Possible duplicate of How to check if a point is inside a rectangle?
$endgroup$
– Dr. Mathva
7 hours ago
add a comment |
$begingroup$
Can you determine the intersection points of the rays?
$endgroup$
– Dr. Mathva
Apr 6 at 18:04
$begingroup$
Possible duplicate of How to check if a point is inside a rectangle?
$endgroup$
– Dr. Mathva
7 hours ago
$begingroup$
Can you determine the intersection points of the rays?
$endgroup$
– Dr. Mathva
Apr 6 at 18:04
$begingroup$
Can you determine the intersection points of the rays?
$endgroup$
– Dr. Mathva
Apr 6 at 18:04
$begingroup$
Possible duplicate of How to check if a point is inside a rectangle?
$endgroup$
– Dr. Mathva
7 hours ago
$begingroup$
Possible duplicate of How to check if a point is inside a rectangle?
$endgroup$
– Dr. Mathva
7 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Let $A(x_a, y_a), B(x_b, y_b), C(x_c, y_c)$ and $D(x_d, y_d)$ form the quadrilateral $ABCD$ with area $S$ and let $P$ be the point you've chosen.
Calculate the areas of the triangles $triangle PAB, triangle PBC, triangle PCD$ and $triangle PDA$, for instance, with the shoelace formula. Let their sum be $S'$. Then
beginalign*
S'=S&implies Ptext lies inside ABCD\
S'>S&implies Ptext lies outside ABCD
endalign*
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
$endgroup$
add a comment |
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1 Answer
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Let $A(x_a, y_a), B(x_b, y_b), C(x_c, y_c)$ and $D(x_d, y_d)$ form the quadrilateral $ABCD$ with area $S$ and let $P$ be the point you've chosen.
Calculate the areas of the triangles $triangle PAB, triangle PBC, triangle PCD$ and $triangle PDA$, for instance, with the shoelace formula. Let their sum be $S'$. Then
beginalign*
S'=S&implies Ptext lies inside ABCD\
S'>S&implies Ptext lies outside ABCD
endalign*
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
$endgroup$
add a comment |
$begingroup$
Let $A(x_a, y_a), B(x_b, y_b), C(x_c, y_c)$ and $D(x_d, y_d)$ form the quadrilateral $ABCD$ with area $S$ and let $P$ be the point you've chosen.
Calculate the areas of the triangles $triangle PAB, triangle PBC, triangle PCD$ and $triangle PDA$, for instance, with the shoelace formula. Let their sum be $S'$. Then
beginalign*
S'=S&implies Ptext lies inside ABCD\
S'>S&implies Ptext lies outside ABCD
endalign*
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
$endgroup$
add a comment |
$begingroup$
Let $A(x_a, y_a), B(x_b, y_b), C(x_c, y_c)$ and $D(x_d, y_d)$ form the quadrilateral $ABCD$ with area $S$ and let $P$ be the point you've chosen.
Calculate the areas of the triangles $triangle PAB, triangle PBC, triangle PCD$ and $triangle PDA$, for instance, with the shoelace formula. Let their sum be $S'$. Then
beginalign*
S'=S&implies Ptext lies inside ABCD\
S'>S&implies Ptext lies outside ABCD
endalign*
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
$endgroup$
Let $A(x_a, y_a), B(x_b, y_b), C(x_c, y_c)$ and $D(x_d, y_d)$ form the quadrilateral $ABCD$ with area $S$ and let $P$ be the point you've chosen.
Calculate the areas of the triangles $triangle PAB, triangle PBC, triangle PCD$ and $triangle PDA$, for instance, with the shoelace formula. Let their sum be $S'$. Then
beginalign*
S'=S&implies Ptext lies inside ABCD\
S'>S&implies Ptext lies outside ABCD
endalign*
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
answered Apr 6 at 18:15
Dr. MathvaDr. Mathva
3,493630
3,493630
add a comment |
add a comment |
Kedel Mihail is a new contributor. Be nice, and check out our Code of Conduct.
Kedel Mihail is a new contributor. Be nice, and check out our Code of Conduct.
Kedel Mihail is a new contributor. Be nice, and check out our Code of Conduct.
Kedel Mihail is a new contributor. Be nice, and check out our Code of Conduct.
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$begingroup$
Can you determine the intersection points of the rays?
$endgroup$
– Dr. Mathva
Apr 6 at 18:04
$begingroup$
Possible duplicate of How to check if a point is inside a rectangle?
$endgroup$
– Dr. Mathva
7 hours ago