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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 2 days ago
FabioSpaghetti
11
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0
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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 2 days ago
FabioSpaghetti
11
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
2 days ago
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
2 days ago
I hadn't seen there is an image...
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago
|
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 2 days ago
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 2 days ago
FabioSpaghetti
11
asked 2 days ago
FabioSpaghetti
11
edited 2 days ago
asked 2 days ago
FabioSpaghetti
11
asked 2 days ago
FabioSpaghetti
11
asked 2 days ago
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
2 days ago
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
2 days ago
I hadn't seen there is an image...
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago
|
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
2 days ago
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
2 days ago
I hadn't seen there is an image...
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
2 days ago
Your question is too vague. You don't even say whether your semi-circles have the same radius or not ...
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago
I hadn't seen there is an image...
– Jean Marie
2 days ago
I hadn't seen there is an image...
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago
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
2 days ago
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
2 days ago
|
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
2 days ago
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
2 days ago
I hadn't seen there is an image...
– Jean Marie
2 days ago
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
2 days ago
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
2 days ago