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-   -   Triangle in a circle on a tangent line. Unknown variables. (http://mymathforum.com/topology/341143-triangle-circle-tangent-line-unknown-variables.html)

stevemilw July 11th, 2017 02:59 AM

Triangle in a circle on a tangent line. Unknown variables.
 
Thanks for taking the time to help me.

I have a geometry, where a triangle lies on a tangent line. I need to be able to define lengths l1, and l2 and angles a3,and a4, using the fixed values in the image. L,a1,a2 are fixed values, along with the center of the circle. When changing the angles a1 and a2, you can vary the position of the circle and the tangent line. For a starting point we can assume a1=a2.

I'd like to be able to define all the unknown variables using the known variables. I have tried lots of trig, but i always end up with too many unknown variables.
Thanks in advance
https://i.stack.imgur.com/qXNRu.png

skipjack July 11th, 2017 03:26 AM

It would be helpful to have a diagram where all significant points are assigned a unique upper case letter of the alphabet. It might also be useful to have a fixed Cartesian coordinate system with respect to which each line and circle has an equation.


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