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Old 2006-11-27, 03:12   #1
Mini-Geek
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"Tim Sorbera"
Aug 2006
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Default Circle intersection points

How do you calculate precisely where the point where two circles intersect such that the very left side of the second circle is the center point of the first circle? (the red dots on the rightmost set of circles in this image, also comparable to a few circles from a Flower of Life)

p.s. I don't know the answer.
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Old 2006-11-27, 03:20   #2
drew
 
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Quote:
Originally Posted by Mini-Geek View Post
How do you calculate precisely where the point where two circles intersect such that the very left side of the second circle is the center point of the first circle? (the red dots on the rightmost set of circles in this image, also comparable to a few circles from a Flower of Life)

p.s. I don't know the answer.
You use the Pythagorean theorem.

y2 = r2 - x2

r = radius of the circles
x = distance of circle centers from origin...or half the distance between their centers.
y = displacement of intersection from the line that joins the two centers.
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