Timeline for answer to Overlapping circles. Distance to move 1 circle along specific line to remove overlap by Narasimham

9 events

when toggle format	what		by	license	comment
Oct 28, 2019 at 12:02	comment	added	Narasimham		@ K Groll Unless $CP=h \tanθ $ is known a priori, we cannot commence this construction. Also please note it comes to the same thing.. $ \cot \theta= \dfrac{m_2-m_1}{1+m_1 m_2}$
Oct 28, 2019 at 11:53	comment	added	Daniel Mathias		Selective vision... Anyway, we still need to find $CQ$ rather than $PQ$
Oct 28, 2019 at 11:24	comment	added	K Groll		@Narasimham Thanks for your answer but I don't quite understand. I used tan 𝜃 = m2−m1/1+m1m2 to get angle ACD and then I had two side lengths and one angle and used SSA and sine law to get the rest. I'm not sure how to establish h or 𝜃 without doing the same.
Oct 28, 2019 at 10:58	comment	added	Narasimham		@DanielMathias OP has given circles of same radius.
Oct 28, 2019 at 10:47	comment	added	K Groll		@DanielMathias this is the approach I took. The above answer works but after finding PQ, CP also needs to be found (unless I misunderstand)
Oct 28, 2019 at 9:53	comment	added	Daniel Mathias		The circles are not given to be congruent, so $AQ=r_1+r_2$. Otherwise this approach is good, though I would let $\theta=\angle ACD$ then use sine rule to find $CQ$
Oct 28, 2019 at 6:58	history	undeleted	Narasimham
Oct 28, 2019 at 6:54	history	deleted	Narasimham		via Vote
Oct 28, 2019 at 6:54	history	answered	Narasimham	CC BY-SA 4.0