Equidistant points from all 3 lines [closed]












0














Two parallel lines m,n intersected by line r, how many equidistant points can we get from all 3 lines?



I was solving the problem like this: drawing two parallel line and take a traversals r, then taking perpendicular from the line r. Not sure about the process and number of intersects.
The problem space is 2D.










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closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 at 20:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Mostafa Ayaz, user10354138, T. Bongers

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
    – Andrei
    Nov 29 at 18:45
















0














Two parallel lines m,n intersected by line r, how many equidistant points can we get from all 3 lines?



I was solving the problem like this: drawing two parallel line and take a traversals r, then taking perpendicular from the line r. Not sure about the process and number of intersects.
The problem space is 2D.










share|cite|improve this question















closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 at 20:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Mostafa Ayaz, user10354138, T. Bongers

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
    – Andrei
    Nov 29 at 18:45














0












0








0







Two parallel lines m,n intersected by line r, how many equidistant points can we get from all 3 lines?



I was solving the problem like this: drawing two parallel line and take a traversals r, then taking perpendicular from the line r. Not sure about the process and number of intersects.
The problem space is 2D.










share|cite|improve this question















Two parallel lines m,n intersected by line r, how many equidistant points can we get from all 3 lines?



I was solving the problem like this: drawing two parallel line and take a traversals r, then taking perpendicular from the line r. Not sure about the process and number of intersects.
The problem space is 2D.







geometry






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share|cite|improve this question













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edited Nov 29 at 21:03

























asked Nov 29 at 18:32









Yeasir Mohammad Akib

34




34




closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 at 20:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Mostafa Ayaz, user10354138, T. Bongers

If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 at 20:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Mostafa Ayaz, user10354138, T. Bongers

If this question can be reworded to fit the rules in the help center, please edit the question.












  • Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
    – Andrei
    Nov 29 at 18:45


















  • Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
    – Andrei
    Nov 29 at 18:45
















Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
– Andrei
Nov 29 at 18:45




Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
– Andrei
Nov 29 at 18:45










1 Answer
1






active

oldest

votes


















0














Lets call our parallel lines $l, m$ and the transversal is $r$



$r$ creates angles where it intersects $l.$



If we construct the angle bisectors then points on the angle bisectors are equidistant from both $r$ and $l.$



Similarly between $r$ and $m$ we can construct the angle bisectors.



How many angle bisectors have we constructed, how many points of intersection are there?



Finally midway between $l$ and $m$ is a line parallel to both equidistant from both.



Where does this intersect the angle bisectors we have created. How many places are all 3 intersecting?
enter image description here






share|cite|improve this answer























  • Give me a visulized form. The space is 2D.
    – Yeasir Mohammad Akib
    Nov 29 at 19:00










  • @YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
    – Doug M
    Nov 29 at 19:05










  • Thanks for your generous help, so the answer is 2.
    – Yeasir Mohammad Akib
    Nov 29 at 19:11


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









0














Lets call our parallel lines $l, m$ and the transversal is $r$



$r$ creates angles where it intersects $l.$



If we construct the angle bisectors then points on the angle bisectors are equidistant from both $r$ and $l.$



Similarly between $r$ and $m$ we can construct the angle bisectors.



How many angle bisectors have we constructed, how many points of intersection are there?



Finally midway between $l$ and $m$ is a line parallel to both equidistant from both.



Where does this intersect the angle bisectors we have created. How many places are all 3 intersecting?
enter image description here






share|cite|improve this answer























  • Give me a visulized form. The space is 2D.
    – Yeasir Mohammad Akib
    Nov 29 at 19:00










  • @YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
    – Doug M
    Nov 29 at 19:05










  • Thanks for your generous help, so the answer is 2.
    – Yeasir Mohammad Akib
    Nov 29 at 19:11
















0














Lets call our parallel lines $l, m$ and the transversal is $r$



$r$ creates angles where it intersects $l.$



If we construct the angle bisectors then points on the angle bisectors are equidistant from both $r$ and $l.$



Similarly between $r$ and $m$ we can construct the angle bisectors.



How many angle bisectors have we constructed, how many points of intersection are there?



Finally midway between $l$ and $m$ is a line parallel to both equidistant from both.



Where does this intersect the angle bisectors we have created. How many places are all 3 intersecting?
enter image description here






share|cite|improve this answer























  • Give me a visulized form. The space is 2D.
    – Yeasir Mohammad Akib
    Nov 29 at 19:00










  • @YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
    – Doug M
    Nov 29 at 19:05










  • Thanks for your generous help, so the answer is 2.
    – Yeasir Mohammad Akib
    Nov 29 at 19:11














0












0








0






Lets call our parallel lines $l, m$ and the transversal is $r$



$r$ creates angles where it intersects $l.$



If we construct the angle bisectors then points on the angle bisectors are equidistant from both $r$ and $l.$



Similarly between $r$ and $m$ we can construct the angle bisectors.



How many angle bisectors have we constructed, how many points of intersection are there?



Finally midway between $l$ and $m$ is a line parallel to both equidistant from both.



Where does this intersect the angle bisectors we have created. How many places are all 3 intersecting?
enter image description here






share|cite|improve this answer














Lets call our parallel lines $l, m$ and the transversal is $r$



$r$ creates angles where it intersects $l.$



If we construct the angle bisectors then points on the angle bisectors are equidistant from both $r$ and $l.$



Similarly between $r$ and $m$ we can construct the angle bisectors.



How many angle bisectors have we constructed, how many points of intersection are there?



Finally midway between $l$ and $m$ is a line parallel to both equidistant from both.



Where does this intersect the angle bisectors we have created. How many places are all 3 intersecting?
enter image description here







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited Nov 29 at 19:05

























answered Nov 29 at 18:51









Doug M

43.9k31854




43.9k31854












  • Give me a visulized form. The space is 2D.
    – Yeasir Mohammad Akib
    Nov 29 at 19:00










  • @YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
    – Doug M
    Nov 29 at 19:05










  • Thanks for your generous help, so the answer is 2.
    – Yeasir Mohammad Akib
    Nov 29 at 19:11


















  • Give me a visulized form. The space is 2D.
    – Yeasir Mohammad Akib
    Nov 29 at 19:00










  • @YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
    – Doug M
    Nov 29 at 19:05










  • Thanks for your generous help, so the answer is 2.
    – Yeasir Mohammad Akib
    Nov 29 at 19:11
















Give me a visulized form. The space is 2D.
– Yeasir Mohammad Akib
Nov 29 at 19:00




Give me a visulized form. The space is 2D.
– Yeasir Mohammad Akib
Nov 29 at 19:00












@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
– Doug M
Nov 29 at 19:05




@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
– Doug M
Nov 29 at 19:05












Thanks for your generous help, so the answer is 2.
– Yeasir Mohammad Akib
Nov 29 at 19:11




Thanks for your generous help, so the answer is 2.
– Yeasir Mohammad Akib
Nov 29 at 19:11



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