Equidistant points from all 3 lines [closed]
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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
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
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closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 '18 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.
add a comment |
$begingroup$
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
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
$endgroup$
closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 '18 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.
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Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
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– Andrei
Nov 29 '18 at 18:45
add a comment |
$begingroup$
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
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
$endgroup$
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
geometry
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
edited Nov 29 '18 at 21:03
Yeasir Mohammad Akib
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
asked Nov 29 '18 at 18:32
Yeasir Mohammad AkibYeasir Mohammad Akib
34
34
closed as off-topic by Mostafa Ayaz, Lord Shark the Unknown, user10354138, T. Bongers, Michael Hoppe Nov 29 '18 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 '18 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.
$begingroup$
Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
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– Andrei
Nov 29 '18 at 18:45
add a comment |
$begingroup$
Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
$endgroup$
– Andrei
Nov 29 '18 at 18:45
$begingroup$
Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
$endgroup$
– Andrei
Nov 29 '18 at 18:45
$begingroup$
Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
$endgroup$
– Andrei
Nov 29 '18 at 18:45
add a comment |
1 Answer
1
active
oldest
votes
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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?
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
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Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
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@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
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– Doug M
Nov 29 '18 at 19:05
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Thanks for your generous help, so the answer is 2.
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– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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?
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
$endgroup$
$begingroup$
Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
$begingroup$
@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
$endgroup$
– Doug M
Nov 29 '18 at 19:05
$begingroup$
Thanks for your generous help, so the answer is 2.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
add a comment |
$begingroup$
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?
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
$endgroup$
$begingroup$
Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
$begingroup$
@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
$endgroup$
– Doug M
Nov 29 '18 at 19:05
$begingroup$
Thanks for your generous help, so the answer is 2.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
add a comment |
$begingroup$
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?
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
$endgroup$
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?
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
edited Nov 29 '18 at 19:05
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
answered Nov 29 '18 at 18:51
Doug MDoug M
44.8k31854
44.8k31854
$begingroup$
Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
$begingroup$
@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
$endgroup$
– Doug M
Nov 29 '18 at 19:05
$begingroup$
Thanks for your generous help, so the answer is 2.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
add a comment |
$begingroup$
Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
$begingroup$
@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
$endgroup$
– Doug M
Nov 29 '18 at 19:05
$begingroup$
Thanks for your generous help, so the answer is 2.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
$begingroup$
Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
$begingroup$
Give me a visulized form. The space is 2D.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:00
$begingroup$
@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
$endgroup$
– Doug M
Nov 29 '18 at 19:05
$begingroup$
@YeasirMohammadAkib You really should be able to do these constructions yourself. But, I am in a generous mood.
$endgroup$
– Doug M
Nov 29 '18 at 19:05
$begingroup$
Thanks for your generous help, so the answer is 2.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
$begingroup$
Thanks for your generous help, so the answer is 2.
$endgroup$
– Yeasir Mohammad Akib
Nov 29 '18 at 19:11
add a comment |
$begingroup$
Are you talking in 2D or 3D? For 2D you have 2 points, for 3D you have an infinity
$endgroup$
– Andrei
Nov 29 '18 at 18:45