Intersection between two straight lines?

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
3
down vote

favorite












I'm specifically interested in the case in which lines AB and CD intersect, but outside (of at least one) of the segments AB, CD, and get the intersection I for further work. The similar questions only handle the case in which the segments intersect.






tikz-pgf







share|improve this question





















  • see (tex.stackexchange.com/questions/31398/…)
    – Denis
    5 hours ago






  • 5




    Pleasssse add a minimal working example! With 3.5k rep how can you not know the drill?
    – Andrew
    5 hours ago










  • @Denis, there the intersection is inside both segments.
    – vonbrand
    5 hours ago










  • @vonbrand, in the answer is inside too if you read it carefully.
    – koleygr
    5 hours ago










  • @koleygr, I did try to decypher the answers, they mostly handle just the case (no interest to me) when the intersection is inside both segments, or perpendicular lines (in my case, they intersect outside the segments,at any angle)-
    – vonbrand
    2 hours ago















up vote
3
down vote

favorite












I'm specifically interested in the case in which lines AB and CD intersect, but outside (of at least one) of the segments AB, CD, and get the intersection I for further work. The similar questions only handle the case in which the segments intersect.






tikz-pgf







share|improve this question





















  • see (tex.stackexchange.com/questions/31398/…)
    – Denis
    5 hours ago






  • 5




    Pleasssse add a minimal working example! With 3.5k rep how can you not know the drill?
    – Andrew
    5 hours ago










  • @Denis, there the intersection is inside both segments.
    – vonbrand
    5 hours ago










  • @vonbrand, in the answer is inside too if you read it carefully.
    – koleygr
    5 hours ago










  • @koleygr, I did try to decypher the answers, they mostly handle just the case (no interest to me) when the intersection is inside both segments, or perpendicular lines (in my case, they intersect outside the segments,at any angle)-
    – vonbrand
    2 hours ago













up vote
3
down vote

favorite









up vote
3
down vote

favorite











I'm specifically interested in the case in which lines AB and CD intersect, but outside (of at least one) of the segments AB, CD, and get the intersection I for further work. The similar questions only handle the case in which the segments intersect.






tikz-pgf







share|improve this question













I'm specifically interested in the case in which lines AB and CD intersect, but outside (of at least one) of the segments AB, CD, and get the intersection I for further work. The similar questions only handle the case in which the segments intersect.






tikz-pgf




tikz-pgf






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 6 hours ago









vonbrand

3,51811128




3,51811128











  • see (tex.stackexchange.com/questions/31398/…)
    – Denis
    5 hours ago






  • 5




    Pleasssse add a minimal working example! With 3.5k rep how can you not know the drill?
    – Andrew
    5 hours ago










  • @Denis, there the intersection is inside both segments.
    – vonbrand
    5 hours ago










  • @vonbrand, in the answer is inside too if you read it carefully.
    – koleygr
    5 hours ago










  • @koleygr, I did try to decypher the answers, they mostly handle just the case (no interest to me) when the intersection is inside both segments, or perpendicular lines (in my case, they intersect outside the segments,at any angle)-
    – vonbrand
    2 hours ago

















  • see (tex.stackexchange.com/questions/31398/…)
    – Denis
    5 hours ago






  • 5




    Pleasssse add a minimal working example! With 3.5k rep how can you not know the drill?
    – Andrew
    5 hours ago










  • @Denis, there the intersection is inside both segments.
    – vonbrand
    5 hours ago










  • @vonbrand, in the answer is inside too if you read it carefully.
    – koleygr
    5 hours ago










  • @koleygr, I did try to decypher the answers, they mostly handle just the case (no interest to me) when the intersection is inside both segments, or perpendicular lines (in my case, they intersect outside the segments,at any angle)-
    – vonbrand
    2 hours ago
















see (tex.stackexchange.com/questions/31398/…)
– Denis
5 hours ago




see (tex.stackexchange.com/questions/31398/…)
– Denis
5 hours ago




5




5




Pleasssse add a minimal working example! With 3.5k rep how can you not know the drill?
– Andrew
5 hours ago




Pleasssse add a minimal working example! With 3.5k rep how can you not know the drill?
– Andrew
5 hours ago












@Denis, there the intersection is inside both segments.
– vonbrand
5 hours ago




@Denis, there the intersection is inside both segments.
– vonbrand
5 hours ago












@vonbrand, in the answer is inside too if you read it carefully.
– koleygr
5 hours ago




@vonbrand, in the answer is inside too if you read it carefully.
– koleygr
5 hours ago












@koleygr, I did try to decypher the answers, they mostly handle just the case (no interest to me) when the intersection is inside both segments, or perpendicular lines (in my case, they intersect outside the segments,at any angle)-
– vonbrand
2 hours ago





@koleygr, I did try to decypher the answers, they mostly handle just the case (no interest to me) when the intersection is inside both segments, or perpendicular lines (in my case, they intersect outside the segments,at any angle)-
– vonbrand
2 hours ago











2 Answers
2






active

oldest

votes

















up vote
5
down vote













  1. Declare two path which intersect.

  2. Computes and draw the intersection point.

  3. Draw (or not) some fragment of original paths.

That's all.



documentclass[tikz,border=2mm]standalone 
usetikzlibraryintersections, calc

begindocument
begintikzpicture
path[name path=a] (0,0) coordinate (a1) -- (2,4) coordinate (a2);
path[name path=b] (0,4) coordinate (b1) -- (5,2) coordinate (b2);
fill[red,name intersections=of=a and b]
 (intersection-1) circle (2pt);

draw (a1)--($(a1)!.5!(a2)$);
draw (b2)--($(b2)!.5!(b1)$);
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • Weird... I tried something very similar, got nowhere...
    – vonbrand
    5 hours ago






  • 1




    (+1) The funny think is the optical illusion that the dot in over their intersection.
    – koleygr
    5 hours ago










  • Nope. The intersection is inside the segments a1-a2 and b1-b2.
    – vonbrand
    2 hours ago

















up vote
4
down vote













There is another way to find the intersection of two intersecting lines that is no longer documented in manual 3.0.1a but still works.
It is on page 87 of manual 1.18 which you will find here (until when?): tikz pgf manual 1.18



It consists in solving a system of 2 equations with 2 unknowns (the points that define the 2 lines). It is not necessary for the paths to intersect on the figure to find their intersection unlike the version given in manual 3.01a of the solution given by ignasi.
The second advantage is that it is not necessary to load any library for this to work.



You will notice that the points or their coordinates are named without parentheses:



intersection of A--B and 0,3--2,2


Line A--B shorter as suggested by @marmot



intersection



documentclass[tikz,border=2mm]standalone 
begindocument
begintikzpicture
draw[help lines] (0,0) grid (3,3);
draw (0,0) coordinate (A)node[below]A -- (2,1.5) coordinate (B)node[below right]B
(0,3)node[below left]C -- (2,2)node[below left]D;
fill[blue] (intersection of A--B and 0,3--2,2) circle (2pt);
endtikzpicture
enddocument


Translated with www.DeepL.com/Translator






share|improve this answer






















  • @marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
    – vonbrand
    2 hours ago










  • @vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
    – AndréC
    2 hours ago










  • I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
    – vonbrand
    2 hours ago










  • @vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
    – AndréC
    2 hours ago










  • @vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
    – marmot
    1 hour ago










Your Answer







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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
5
down vote













  1. Declare two path which intersect.

  2. Computes and draw the intersection point.

  3. Draw (or not) some fragment of original paths.

That's all.



documentclass[tikz,border=2mm]standalone 
usetikzlibraryintersections, calc

begindocument
begintikzpicture
path[name path=a] (0,0) coordinate (a1) -- (2,4) coordinate (a2);
path[name path=b] (0,4) coordinate (b1) -- (5,2) coordinate (b2);
fill[red,name intersections=of=a and b]
 (intersection-1) circle (2pt);

draw (a1)--($(a1)!.5!(a2)$);
draw (b2)--($(b2)!.5!(b1)$);
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • Weird... I tried something very similar, got nowhere...
    – vonbrand
    5 hours ago






  • 1




    (+1) The funny think is the optical illusion that the dot in over their intersection.
    – koleygr
    5 hours ago










  • Nope. The intersection is inside the segments a1-a2 and b1-b2.
    – vonbrand
    2 hours ago














up vote
5
down vote













  1. Declare two path which intersect.

  2. Computes and draw the intersection point.

  3. Draw (or not) some fragment of original paths.

That's all.



documentclass[tikz,border=2mm]standalone 
usetikzlibraryintersections, calc

begindocument
begintikzpicture
path[name path=a] (0,0) coordinate (a1) -- (2,4) coordinate (a2);
path[name path=b] (0,4) coordinate (b1) -- (5,2) coordinate (b2);
fill[red,name intersections=of=a and b]
 (intersection-1) circle (2pt);

draw (a1)--($(a1)!.5!(a2)$);
draw (b2)--($(b2)!.5!(b1)$);
endtikzpicture
enddocument


enter image description here






share|improve this answer




















  • Weird... I tried something very similar, got nowhere...
    – vonbrand
    5 hours ago






  • 1




    (+1) The funny think is the optical illusion that the dot in over their intersection.
    – koleygr
    5 hours ago










  • Nope. The intersection is inside the segments a1-a2 and b1-b2.
    – vonbrand
    2 hours ago












up vote
5
down vote










up vote
5
down vote









  1. Declare two path which intersect.

  2. Computes and draw the intersection point.

  3. Draw (or not) some fragment of original paths.

That's all.



documentclass[tikz,border=2mm]standalone 
usetikzlibraryintersections, calc

begindocument
begintikzpicture
path[name path=a] (0,0) coordinate (a1) -- (2,4) coordinate (a2);
path[name path=b] (0,4) coordinate (b1) -- (5,2) coordinate (b2);
fill[red,name intersections=of=a and b]
 (intersection-1) circle (2pt);

draw (a1)--($(a1)!.5!(a2)$);
draw (b2)--($(b2)!.5!(b1)$);
endtikzpicture
enddocument


enter image description here






share|improve this answer












  1. Declare two path which intersect.

  2. Computes and draw the intersection point.

  3. Draw (or not) some fragment of original paths.

That's all.



documentclass[tikz,border=2mm]standalone 
usetikzlibraryintersections, calc

begindocument
begintikzpicture
path[name path=a] (0,0) coordinate (a1) -- (2,4) coordinate (a2);
path[name path=b] (0,4) coordinate (b1) -- (5,2) coordinate (b2);
fill[red,name intersections=of=a and b]
 (intersection-1) circle (2pt);

draw (a1)--($(a1)!.5!(a2)$);
draw (b2)--($(b2)!.5!(b1)$);
endtikzpicture
enddocument


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 5 hours ago









Ignasi

87k4155289




87k4155289











  • Weird... I tried something very similar, got nowhere...
    – vonbrand
    5 hours ago






  • 1




    (+1) The funny think is the optical illusion that the dot in over their intersection.
    – koleygr
    5 hours ago










  • Nope. The intersection is inside the segments a1-a2 and b1-b2.
    – vonbrand
    2 hours ago
















  • Weird... I tried something very similar, got nowhere...
    – vonbrand
    5 hours ago






  • 1




    (+1) The funny think is the optical illusion that the dot in over their intersection.
    – koleygr
    5 hours ago










  • Nope. The intersection is inside the segments a1-a2 and b1-b2.
    – vonbrand
    2 hours ago















Weird... I tried something very similar, got nowhere...
– vonbrand
5 hours ago




Weird... I tried something very similar, got nowhere...
– vonbrand
5 hours ago




1




1




(+1) The funny think is the optical illusion that the dot in over their intersection.
– koleygr
5 hours ago




(+1) The funny think is the optical illusion that the dot in over their intersection.
– koleygr
5 hours ago












Nope. The intersection is inside the segments a1-a2 and b1-b2.
– vonbrand
2 hours ago




Nope. The intersection is inside the segments a1-a2 and b1-b2.
– vonbrand
2 hours ago










up vote
4
down vote













There is another way to find the intersection of two intersecting lines that is no longer documented in manual 3.0.1a but still works.
It is on page 87 of manual 1.18 which you will find here (until when?): tikz pgf manual 1.18



It consists in solving a system of 2 equations with 2 unknowns (the points that define the 2 lines). It is not necessary for the paths to intersect on the figure to find their intersection unlike the version given in manual 3.01a of the solution given by ignasi.
The second advantage is that it is not necessary to load any library for this to work.



You will notice that the points or their coordinates are named without parentheses:



intersection of A--B and 0,3--2,2


Line A--B shorter as suggested by @marmot



intersection



documentclass[tikz,border=2mm]standalone 
begindocument
begintikzpicture
draw[help lines] (0,0) grid (3,3);
draw (0,0) coordinate (A)node[below]A -- (2,1.5) coordinate (B)node[below right]B
(0,3)node[below left]C -- (2,2)node[below left]D;
fill[blue] (intersection of A--B and 0,3--2,2) circle (2pt);
endtikzpicture
enddocument


Translated with www.DeepL.com/Translator






share|improve this answer






















  • @marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
    – vonbrand
    2 hours ago










  • @vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
    – AndréC
    2 hours ago










  • I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
    – vonbrand
    2 hours ago










  • @vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
    – AndréC
    2 hours ago










  • @vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
    – marmot
    1 hour ago














up vote
4
down vote













There is another way to find the intersection of two intersecting lines that is no longer documented in manual 3.0.1a but still works.
It is on page 87 of manual 1.18 which you will find here (until when?): tikz pgf manual 1.18



It consists in solving a system of 2 equations with 2 unknowns (the points that define the 2 lines). It is not necessary for the paths to intersect on the figure to find their intersection unlike the version given in manual 3.01a of the solution given by ignasi.
The second advantage is that it is not necessary to load any library for this to work.



You will notice that the points or their coordinates are named without parentheses:



intersection of A--B and 0,3--2,2


Line A--B shorter as suggested by @marmot



intersection



documentclass[tikz,border=2mm]standalone 
begindocument
begintikzpicture
draw[help lines] (0,0) grid (3,3);
draw (0,0) coordinate (A)node[below]A -- (2,1.5) coordinate (B)node[below right]B
(0,3)node[below left]C -- (2,2)node[below left]D;
fill[blue] (intersection of A--B and 0,3--2,2) circle (2pt);
endtikzpicture
enddocument


Translated with www.DeepL.com/Translator






share|improve this answer






















  • @marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
    – vonbrand
    2 hours ago










  • @vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
    – AndréC
    2 hours ago










  • I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
    – vonbrand
    2 hours ago










  • @vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
    – AndréC
    2 hours ago










  • @vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
    – marmot
    1 hour ago












up vote
4
down vote










up vote
4
down vote









There is another way to find the intersection of two intersecting lines that is no longer documented in manual 3.0.1a but still works.
It is on page 87 of manual 1.18 which you will find here (until when?): tikz pgf manual 1.18



It consists in solving a system of 2 equations with 2 unknowns (the points that define the 2 lines). It is not necessary for the paths to intersect on the figure to find their intersection unlike the version given in manual 3.01a of the solution given by ignasi.
The second advantage is that it is not necessary to load any library for this to work.



You will notice that the points or their coordinates are named without parentheses:



intersection of A--B and 0,3--2,2


Line A--B shorter as suggested by @marmot



intersection



documentclass[tikz,border=2mm]standalone 
begindocument
begintikzpicture
draw[help lines] (0,0) grid (3,3);
draw (0,0) coordinate (A)node[below]A -- (2,1.5) coordinate (B)node[below right]B
(0,3)node[below left]C -- (2,2)node[below left]D;
fill[blue] (intersection of A--B and 0,3--2,2) circle (2pt);
endtikzpicture
enddocument


Translated with www.DeepL.com/Translator






share|improve this answer














There is another way to find the intersection of two intersecting lines that is no longer documented in manual 3.0.1a but still works.
It is on page 87 of manual 1.18 which you will find here (until when?): tikz pgf manual 1.18



It consists in solving a system of 2 equations with 2 unknowns (the points that define the 2 lines). It is not necessary for the paths to intersect on the figure to find their intersection unlike the version given in manual 3.01a of the solution given by ignasi.
The second advantage is that it is not necessary to load any library for this to work.



You will notice that the points or their coordinates are named without parentheses:



intersection of A--B and 0,3--2,2


Line A--B shorter as suggested by @marmot



intersection



documentclass[tikz,border=2mm]standalone 
begindocument
begintikzpicture
draw[help lines] (0,0) grid (3,3);
draw (0,0) coordinate (A)node[below]A -- (2,1.5) coordinate (B)node[below right]B
(0,3)node[below left]C -- (2,2)node[below left]D;
fill[blue] (intersection of A--B and 0,3--2,2) circle (2pt);
endtikzpicture
enddocument


Translated with www.DeepL.com/Translator







share|improve this answer














share|improve this answer



share|improve this answer








edited 2 hours ago

























answered 4 hours ago









AndréC

3,124728




3,124728











  • @marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
    – vonbrand
    2 hours ago










  • @vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
    – AndréC
    2 hours ago










  • I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
    – vonbrand
    2 hours ago










  • @vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
    – AndréC
    2 hours ago










  • @vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
    – marmot
    1 hour ago
















  • @marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
    – vonbrand
    2 hours ago










  • @vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
    – AndréC
    2 hours ago










  • I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
    – vonbrand
    2 hours ago










  • @vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
    – AndréC
    2 hours ago










  • @vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
    – marmot
    1 hour ago















@marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
– vonbrand
2 hours ago




@marmot, I don't know more than the given points A, B, C, D. Just drawing part of the line is no help.
– vonbrand
2 hours ago












@vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
– AndréC
2 hours ago




@vonbrand Finally, I don't know if I understood your question correctly. Have you read the update of my answer?
– AndréC
2 hours ago












I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
– vonbrand
2 hours ago




I believe this is deprecated in current TikZ... there is no section 1.18 in current version 3.0.1a of the TikZ & PGF manual. Page 118 gives an example of segments that do intersect.
– vonbrand
2 hours ago












@vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
– AndréC
2 hours ago




@vonbrand No, it works. it had been deleted, then at the request of the users, it was delivered (but without the doc). it's not the only thing like that with tikz, there is also shorten > which still works but is only documented in the manual 1.18.
– AndréC
2 hours ago












@vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
– marmot
1 hour ago




@vonbrand It is still official, though with a slightly different syntax. See page 118 (instead of section 1.18) of the pgfmanual. Try draw (0,0) coordinate(A) -- (1,2) coordinate(B); draw (3.5,0) coordinate(C)-- (3,2) coordinate(D); coordinate (X) at (intersection cs:first line=(A)--(B), second line=(C)--(D)); fill[red] (X) circle (1pt);.
– marmot
1 hour ago

















 

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