# Eureka!

Codfish
Posers and Puzzles 10 May '06 04:45
1. 10 May '06 04:45
Another one off the top of my head!

In a three dimensional location, point D has two circles of radius R and R' at an angle N to each other (D is the centerpoint). Using a tangent of both circles that is furthest away from point D as a zero angle, write a function for the distance of between any two points. (one on each circle)

Sorry if this is hard to visualize. I had to make a paper model myself.

P.S. I created this in math while messing around on periodic functions.
P.P.S. I wasn't supposed to be doing this, but my teacher forgave me when he saw my solution.
P.P.P.S. Math is fun, but math class is incredibly boring.
2. 12 May '06 02:42
Finding it too difficult?
3. AThousandYoung
12 May '06 03:04
Originally posted by Codfish
Another one off the top of my head!

In a three dimensional location, point D has two circles of radius R and R' at an angle N to each other (D is the centerpoint). Using a tangent of both circles that is furthest away from point D as a zero angle, write a function for the distance of between any two points. (one on each circle)

Sorry if this is hard ...[text shortened]... orgave me when he saw my solution.
P.P.P.S. Math is fun, but math class is incredibly boring.
I am only familiar with tangents that are in the same plane as the circle. Since the two circles are not coplanar, they cannot share a tangent. Right?
4. 12 May '06 03:27
Originally posted by AThousandYoung
I am only familiar with tangents that are in the same plane as the circle. Since the two circles are not coplanar, they cannot share a tangent. Right?
Maybe.

I guess I meant to say that there is a line that touches one point of both circles.
5. AThousandYoung
12 May '06 05:042 edits
Where would the vertex of the zero angle be? Why is "zero angle" relevant?

I guess I don't really understand the question.
6. 12 May '06 22:491 edit
Originally posted by AThousandYoung
Where would the vertex of the zero angle be? Why is "zero angle" relevant?

I guess I don't really understand the question.
Then I guess I'll reformat the question. In an analytic format.

Suppose point D is the origin and the radii are still R and R'. Solve for the distance between any two points on these circles. (Still one point on each)
7. AThousandYoung