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wu :: forums    riddles    medium (Moderators: Grimbal, Icarus, Eigenray, SMQ, towr, ThudnBlunder, william wu)    Circles Sequence « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Circles Sequence  (Read 822 times) Immanuel_Bonfils Junior Member     Posts: 114 Circles Sequence   « on: Jun 29th, 2008, 11:41am » Quote Modify  is a circle of radius , internally tangent to another circle with radius > . Let  be any circle in the area (crescent shaped) between and , tangent to both.  a) Find the locus of ’s center.  b)  If ro is the radius of o, one of  the above s, what is the sequence rj, such that, (besides to satisfy ’s conditions)  j+1 is tangent to j?   c) For a given ro, what is the maximum rj ? IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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