Convex Tangent Arcs

Replies to This Discussion

Permalink Reply by Frans Magnusson on May 10, 2010 at 11:12am

Anyone?

Permalink Reply by trevor.patt on May 11, 2010 at 10:25am

It's like the method for constructing ovals. All of the intersections should probably be replaced with trigonometric and algebraic solutions, but the idea is the same.
1) find a point equidistant to the arc start and end points (i.e arc radius minus circle1 radius from circle1 center, and arc radius minus circle2 radius from circle 2 center) this is the arc center
2) construct rays that pass through center points and intersect the circle on the other side
3) since a radius is always tangent to the circle, and this line passes through the center of the circle and the center of the arc we will draw, the two will be cotangent at this point.
4) find a point in between circle intersections and the arc radius from the arc center
5) draw three point arc

Attachments:

• tangent2circles.ghx, 268 KB
• tangent2circles.jpg, 151 KB

Permalink Reply by Frans Magnusson on May 11, 2010 at 1:07pm

Grand!

It´s too late in the evening for me to compute, fortunately my computer is much more talented at this stuff.
And you!
Thanks abunch
//Frans