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TerryKoen1-Visitor
1-Visitor
September 22, 2012
Solved

3 points on a circle

  • September 22, 2012
  • 3 replies
  • 3052 views

I have two cylinders tha each have 3 known points. With three points i have to find the center point of one circle then with the other three points I need to find the other center point. When the center points are established I need tofind the midpoint of the line between the two center points. Can someone help me get started? Thanks

Best answer by TerryKoen

Here is the solution I worked out.

3 replies

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24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
September 22, 2012

One solution (symbol math of Mathcad):

RxRyR.png

T
TerryKoen1-VisitorAuthor
1-Visitor
September 22, 2012

Thanks Dr. Ochkov. This solution is very elegant I will have to study. Where did the 25mm dimension come from? Is it the midpoint of the radius?

F
Fred_Kohlhepp23-Emerald I
23-Emerald I
September 23, 2012

Little bit of vector math.

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TerryKoen1-VisitorAuthor
1-Visitor
September 22, 2012

Here is a solution I worked out. These equations find the center of a circle given 3 points It is not very elegant though. It only finds the center of the first circle.

9-22-2012 5-46-35 PM.jpg

T
TerryKoen1-VisitorAuthorAnswer
1-Visitor
September 22, 2012

Here is the solution I worked out.

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