How to find the coordinates of the tangency points on direct common tangent line
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I have to find the coordinates of the tangent points on 2 semi-circles that the center of one of them has an offset of x and y from the center of the other one, I need to draw a tangent line between them, hence the starting and ending point of this line will not be on the semicircles , but I should continue the semi-circles along their perimeter to these start and endpoints, I need to know how could I calculate the start and end point coordinates.
I need the most general case, in which the radius of two circles are not equal
Circles
discrete-mathematics analytic-geometry
asked Nov 19 at 20:26
FabioSpaghetti
11
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show 5 more comments
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I have to find the coordinates of the tangent points on 2 semi-circles that the center of one of them has an offset of x and y from the center of the other one, I need to draw a tangent line between them, hence the starting and ending point of this line will not be on the semicircles , but I should continue the semi-circles along their perimeter to these start and endpoints, I need to know how could I calculate the start and end point coordinates.
I need the most general case, in which the radius of two circles are not equal
Circles
discrete-mathematics analytic-geometry
asked Nov 19 at 20:26
FabioSpaghetti
11
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
Nov 19 at 20:38
Have you chcked the image? you can visually say if they have or not ? but I want the most general case and will edit the question. is my question too vague just because of this point ?
– FabioSpaghetti
Nov 19 at 20:48
I hadn't seen there is an image...
– Jean Marie
Nov 19 at 20:51
No, your question is too vague because there is no answer possible unless you give the coordinates of the center of the first circle and the radii of the two circles.
– Jean Marie
Nov 19 at 20:56
The coordinates of the center of the first circle is known and also the radii of both circles !! As far as I see, I have tagged it in analytical geometry, so it should have an analytical answer. clearly every paramter can be counted in if it's required to be one of the known
– FabioSpaghetti
Nov 19 at 21:54
|
show 5 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have to find the coordinates of the tangent points on 2 semi-circles that the center of one of them has an offset of x and y from the center of the other one, I need to draw a tangent line between them, hence the starting and ending point of this line will not be on the semicircles , but I should continue the semi-circles along their perimeter to these start and endpoints, I need to know how could I calculate the start and end point coordinates.
I need the most general case, in which the radius of two circles are not equal
Circles
discrete-mathematics analytic-geometry
asked Nov 19 at 20:26
FabioSpaghetti
11
I have to find the coordinates of the tangent points on 2 semi-circles that the center of one of them has an offset of x and y from the center of the other one, I need to draw a tangent line between them, hence the starting and ending point of this line will not be on the semicircles , but I should continue the semi-circles along their perimeter to these start and endpoints, I need to know how could I calculate the start and end point coordinates.
I need the most general case, in which the radius of two circles are not equal
Circles
discrete-mathematics analytic-geometry
discrete-mathematics analytic-geometry
asked Nov 19 at 20:26
FabioSpaghetti
11
asked Nov 19 at 20:26
FabioSpaghetti
11
edited Nov 19 at 20:48
asked Nov 19 at 20:26
FabioSpaghetti
11
asked Nov 19 at 20:26
FabioSpaghetti
11
asked Nov 19 at 20:26
FabioSpaghetti
11
11
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
Nov 19 at 20:38
Have you chcked the image? you can visually say if they have or not ? but I want the most general case and will edit the question. is my question too vague just because of this point ?
– FabioSpaghetti
Nov 19 at 20:48
I hadn't seen there is an image...
– Jean Marie
Nov 19 at 20:51
No, your question is too vague because there is no answer possible unless you give the coordinates of the center of the first circle and the radii of the two circles.
– Jean Marie
Nov 19 at 20:56
The coordinates of the center of the first circle is known and also the radii of both circles !! As far as I see, I have tagged it in analytical geometry, so it should have an analytical answer. clearly every paramter can be counted in if it's required to be one of the known
– FabioSpaghetti
Nov 19 at 21:54
|
show 5 more comments
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
Nov 19 at 20:38
Have you chcked the image? you can visually say if they have or not ? but I want the most general case and will edit the question. is my question too vague just because of this point ?
– FabioSpaghetti
Nov 19 at 20:48
I hadn't seen there is an image...
– Jean Marie
Nov 19 at 20:51
No, your question is too vague because there is no answer possible unless you give the coordinates of the center of the first circle and the radii of the two circles.
– Jean Marie
Nov 19 at 20:56
The coordinates of the center of the first circle is known and also the radii of both circles !! As far as I see, I have tagged it in analytical geometry, so it should have an analytical answer. clearly every paramter can be counted in if it's required to be one of the known
– FabioSpaghetti
Nov 19 at 21:54
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
Nov 19 at 20:38
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
Nov 19 at 20:38
Have you chcked the image? you can visually say if they have or not ? but I want the most general case and will edit the question. is my question too vague just because of this point ?
– FabioSpaghetti
Nov 19 at 20:48
Have you chcked the image? you can visually say if they have or not ? but I want the most general case and will edit the question. is my question too vague just because of this point ?
– FabioSpaghetti
Nov 19 at 20:48
I hadn't seen there is an image...
– Jean Marie
Nov 19 at 20:51
I hadn't seen there is an image...
– Jean Marie
Nov 19 at 20:51
No, your question is too vague because there is no answer possible unless you give the coordinates of the center of the first circle and the radii of the two circles.
– Jean Marie
Nov 19 at 20:56
No, your question is too vague because there is no answer possible unless you give the coordinates of the center of the first circle and the radii of the two circles.
– Jean Marie
Nov 19 at 20:56
The coordinates of the center of the first circle is known and also the radii of both circles !! As far as I see, I have tagged it in analytical geometry, so it should have an analytical answer. clearly every paramter can be counted in if it's required to be one of the known
– FabioSpaghetti
Nov 19 at 21:54
The coordinates of the center of the first circle is known and also the radii of both circles !! As far as I see, I have tagged it in analytical geometry, so it should have an analytical answer. clearly every paramter can be counted in if it's required to be one of the known
– FabioSpaghetti
Nov 19 at 21:54
|
show 5 more comments
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Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
Nov 19 at 20:38
Have you chcked the image? you can visually say if they have or not ? but I want the most general case and will edit the question. is my question too vague just because of this point ?
– FabioSpaghetti
Nov 19 at 20:48
I hadn't seen there is an image...
– Jean Marie
Nov 19 at 20:51
No, your question is too vague because there is no answer possible unless you give the coordinates of the center of the first circle and the radii of the two circles.
– Jean Marie
Nov 19 at 20:56
The coordinates of the center of the first circle is known and also the radii of both circles !! As far as I see, I have tagged it in analytical geometry, so it should have an analytical answer. clearly every paramter can be counted in if it's required to be one of the known
– FabioSpaghetti
Nov 19 at 21:54