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does this diagram provides sufficient information to find the ratio of O1P to O1O2 ?
 one year ago
 one year ago
does this diagram provides sufficient information to find the ratio of O1P to O1O2 ?
 one year ago
 one year ago

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edr1cBest ResponseYou've already chosen the best response.0
given 3 circles, the circumference of the 2nd circle cuts the centre of circle1 at O1, while the centre of the 3rd circle is formed between the upper intersection of 1st and 2nd circle, with its circumference cuts through centre of 1st circle. radius of 2nd circle is unknown.
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
and a str8 line is formed between O1 and O2, with P be the right intersection of 3rd circle with the line.
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
O1P to O1O2 are these distances
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
o1 to p i the base of an iso tri with sides of rdw:1344615311196:dw
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
we can define an angle using o1,o2 and oi,1 so that o1,p is findable to me
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
err ... o1,o3 that is
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1344615460417:dw
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
or really P = (2a,0) in this case :)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1344615575595:dw im sure we could come up with something
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
we can determine a general ratio; and when given specifics we can fill them in
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
so i will need to come out with 3 ratios for O1P < O1O2, O1P = O1O2, and O1P > O1O2?
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
because radius for circle 2 is not fixed
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
radius for circle 2 is "fixed"
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
owh. k i'll try from here. thx =)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
i might be reading the post wrong tho
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
o2 is solid, so do we assume we know the position of o2 relative to the other solid objects?
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
erm o2 is the centre of 2nd circle. lol i drawed the dot too big i guess.
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
its an imaginary centre because radius 2 is unknown.
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
but centre of circle 2 will be placed same level with circle 1
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1344616423539:dw well, you do have 3 points of contact for the circle2 i believe
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1344616612225:dw
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
the half the length from 03 to 0'3 would be known (y) and half the distance from 01 to P can be known (x) y^2 = x*(distance from p/2 to 03)
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
dw:1344616835067:dw y^2 = x*c ; x+c = radius from 01 to 02
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
the ratio then is.... 2x : r'
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
2x : x+c , and since y^2 = xc; c=y^2/x 2x : x + y^2/x 2x : (x^2 + y^2)/x
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
o i'll try to digest 'em. really thx for spending time with this question. @@
 one year ago

amistre64Best ResponseYou've already chosen the best response.1
youre welcome, it was fun :)
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
y^2 = xc is some theorem? o.o
 one year ago
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