Assume 2 similar circles. For simplicity, take two One Rupee Coins ( Similar). keep them on a flat surface. Now keeping one (1 in the pic) stationary,start rotating the other coin (2 in the pic) along First Coin's boundary(circumference). 
now tell me how many times the Coin 2 rotates around its centre till it complete Coin's 1 boundary once.
now tell me how many times the Coin 2 rotates around its centre till it complete Coin's 1 boundary once.Got the answer, huh? may have already done it!
try the formal proof...
(just a warming up ...)
5 comments:
Obvious Right? Two times.
Proof:
Initially the coin 2 is above coin 1 (in the pic).
That is, the bottom of coin 2 is touching the top is coin 1.
Half rotation is when coin 2 is below 1. Then the top of it should touch bottom of coin 1.
Now it is again upright... and that means one rotation. The same is applicable for the other half as well.
Well I believe just one time..? Its works like the little wheels in a clock ...
Happy weekend to you all
@sands.
yeah, but formal proof?
@dutchess
hmmm.......
check out by urself.
thanz:)
same 2 u
Oke..never was very good in things like that..:)
I thought that one uses formal methods when one cannot understand it in a simple way...!!
Now are you looking for stuff like - the circumference is such and such... the angle/degree etc...??
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