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

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edr1c
 3 years ago
Best ResponseYou've already chosen the best response.0given 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.

edr1c
 3 years ago
Best ResponseYou've already chosen the best response.0and a str8 line is formed between O1 and O2, with P be the right intersection of 3rd circle with the line.

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1O1P to O1O2 are these distances

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

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1we can define an angle using o1,o2 and oi,1 so that o1,p is findable to me

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1err ... o1,o3 that is

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1344615460417:dw

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

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

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

edr1c
 3 years ago
Best ResponseYou've already chosen the best response.0so i will need to come out with 3 ratios for O1P < O1O2, O1P = O1O2, and O1P > O1O2?

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

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

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

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

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1o2 is solid, so do we assume we know the position of o2 relative to the other solid objects?

edr1c
 3 years ago
Best ResponseYou've already chosen the best response.0erm o2 is the centre of 2nd circle. lol i drawed the dot too big i guess.

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

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

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

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1344616612225:dw

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.1the 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)

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

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

amistre64
 3 years ago
Best ResponseYou've already chosen the best response.12x : x+c , and since y^2 = xc; c=y^2/x 2x : x + y^2/x 2x : (x^2 + y^2)/x

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

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

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