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asking for PointM & PointN coordinates

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悬赏园豆:10 [已解决问题] 解决于 2021-12-18 18:23

I am asking for the coordinates of PointM & PointN. The problem is displayed as below figure.

Known:

  1. C1 is a circle, and C2 is also a circle.
  2. EC is the radius of C1 & C2.
  3. PointE (Ex,Ey), PointC (Cx, Cy), length of EC

Calculated:
PointF(Fx, Fy),
sEC (slope of line EC),
bEC (y-intercept of line EC),
fMN (slope of line MN)
bMN(y-intercept of line MN)
PointM(x,y) when PointE & PointC are in the horizontal position
PointN(x,y) when PointE & PointC are in the vertical position

I have tried many options to solve the PointM & PointN coordinates when they are in general position, but have not worked so far.

Can anyone help? Java/C/C++/C#/VB/Python/pseudocode is fine.
Many Thanks!

blogger2020的主页 blogger2020 | 菜鸟二级 | 园豆:237
提问于:2021-12-17 10:46
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最佳答案
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Based on Paul,
http://paulbourke.net/geometry/circlesphere/

x3 = x2 +- h ( y1 - y0 ) / d

y3 = y2 -+ h ( x1 - x0 ) / d

Checked & it works.

blogger2020 | 菜鸟二级 |园豆:237 | 2021-12-17 19:37
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