A series of externally tangent circles tangent to a line

Asked Oct 06 '19 at 00:43

Active Oct 06 '19 at 02:41

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I've been working on this question for a math class for awhile now and I don't really know where to go with it. I'm aware of the Kissing Circles Theorem, but in order to use it I have to prove it and I don't know how to go about doing that. I've tried connecting the centers of the circles and then dropping perpendiculars.

edited Oct 06 '19 at 02:41

asked Oct 06 '19 at 00:43

Silverleaf1

Please refer to another answer here. – Ng Chung Tak Oct 06 '19 at 00:46
That question isn't the same question as mine. – Silverleaf1 Oct 06 '19 at 02:42
1

It's a more general case, substitute $a=b=1$, you can find $c$. Repeat with the same manner with $r_i$, $r_{i+1}$ to get $r_{i+2}$. It provides a hint for you and I didn't mark your question as duplicate. Feel free to see the working. – Ng Chung Tak Oct 06 '19 at 02:46

A series of externally tangent circles tangent to a line

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