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edr1c
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does this diagram provides sufficient information to find the ratio of O1P to O1O2 ?
 2 years ago
 2 years ago
edr1c Group Title
does this diagram provides sufficient information to find the ratio of O1P to O1O2 ?
 2 years ago
 2 years ago

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edr1c Group TitleBest 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.
 2 years ago

edr1c Group TitleBest 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.
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
O1P to O1O2 are these distances
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
o1 to p i the base of an iso tri with sides of rdw:1344615311196:dw
 2 years ago

amistre64 Group TitleBest 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
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
err ... o1,o3 that is
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1344615460417:dw
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
or really P = (2a,0) in this case :)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1344615575595:dw im sure we could come up with something
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
we can determine a general ratio; and when given specifics we can fill them in
 2 years ago

edr1c Group TitleBest 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?
 2 years ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
because radius for circle 2 is not fixed
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
radius for circle 2 is "fixed"
 2 years ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
owh. k i'll try from here. thx =)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
i might be reading the post wrong tho
 2 years ago

amistre64 Group TitleBest 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?
 2 years ago

edr1c Group TitleBest 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.
 2 years ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
its an imaginary centre because radius 2 is unknown.
 2 years ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
but centre of circle 2 will be placed same level with circle 1
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1344616423539:dw well, you do have 3 points of contact for the circle2 i believe
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1344616612225:dw
 2 years ago

amistre64 Group TitleBest 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)
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
dw:1344616835067:dw y^2 = x*c ; x+c = radius from 01 to 02
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
or rather r' = x+c
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
the ratio then is.... 2x : r'
 2 years ago

amistre64 Group TitleBest 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
 2 years ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
o i'll try to digest 'em. really thx for spending time with this question. @@
 2 years ago

amistre64 Group TitleBest ResponseYou've already chosen the best response.1
youre welcome, it was fun :)
 2 years ago

edr1c Group TitleBest ResponseYou've already chosen the best response.0
y^2 = xc is some theorem? o.o
 2 years ago
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