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Math Help - Surrounding circles with rectangle

  1. #1
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    Surrounding circles with rectangle

    Iím working on a piece of software that should be able to calculate an area defined by some logic that I will describe beneath. People that would help me out with this challenge should take a look at the image that I have on this link. I think that image makes it easier to understand my text below.
    My main question is: How do I calculate a rectangle surrounding multiple circles?

    1. I have a known point called A
    2. From there a make a vector ending at point B, based on some business rules
    3. From point B I make another vector ending at point C, also based on some business rules
    4. A point B, I make two additional vectors by adding/subtracting X degrees from vector C direction. This new vectors is ending at point c(min) and c(max)
    5. I know make three new vectors between point A and the three new point named C, C(min) and C(max). Showed with solid lines on the image
    6. Around each of the three C-points I make a circle with a radius that is 30 % of the magnitude of the related vector made in step 5.
    7. So far so good, no problems in calculating that.
    8. The problem is now, how do I calculate a rectangle that surrounds the circles? As you can see the surrounding rectangle must be rect-angled on the vector between A and C.

    Anybody that can help me out here? I have tried several solutions but without luck
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  2. #2
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    Apr 2009
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    To simplify my question:

    Has anybody an idea to, how I can calculate the four corners of a rectangle that surrounda three circels of which I know the center positions and radius of?
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