Arc Tangent To Two Circles
How tin I calculate the arc between two circles? The arc must be tangent to the 2 points on the circles.
Here is a picture illustrating it. I'm trying to code and calculate the orangish arc and the blue arc.
more details:
Your applet should take two modes: 2D and 3D. The user should exist able to switch between them by pressing the space bar. In the 2D manner, the user can edit the position of four command points A, B, C and D and should come across 4 circular arcs defined by these points as follows. The crimson arc lies on a circumvolve of heart A and radius ||AB||. The green arc lies on a circle of center C and radius ||CD||. The orangish arc lies on a supporting circle that is tangent to the supporting circle of the ruby-red arc at B and also tangent to the green circumvolve at a point East, which your code must compute. This supporting circle should non carve up A and C (i.e., A and C must either be both in that circle or out of it). Similarly, the blue arc lies on a circle that does not carve up A and C and that is tangent to the supporting circle of the green arc at D and is also tangent to the supporting circle of the red arc at some point F which your program must compute. The cherry arc runs clockwise from F to B. The orangish arc runs from B to E. The greenish arc runs from E to D. The blue arc runs from D back to F. These four arcs form a polish boundary of a region S of the plane. Discover that depending on the position of the control points, the orange and blue arcs may each be either concave or convex. In the figure beneath, the blue arc is concave. (pictured above)
Arc Tangent To Two Circles,
Source: https://stackoverflow.com/questions/4100959/calculating-a-tangent-arc-between-two-points-on-two-circles
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