finding intersection of two lines?

2017 7 26
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更新时间：2017 7 26
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Hello
I have two points B(x1,y1) , C(x2,y2), then I calculate the corrdinate of two more points J(xdd,ydd) and k(xgg,ygg) know I want to find the coordinate of yellow star point which is the intersection of line JK and BC, How can I do it? Thanks in advance.
xdd= x1(index1)+(DeltaX*D_CL)/D +(DeltaY/D)*sqrt(r^2-D_CL^2);
ydd= y1(index1)+(DeltaY*D_CL)/D-(DeltaX/D)*sqrt(r^2-D_CL^2);
xgg= x1(index1)+(DeltaX*D_CL)/D-(DeltaY/D)*sqrt(r^2-D_CL^2);
ygg=y1(index1)+(DeltaY*D_CL)/D+(DeltaX/D)*sqrt(r^2-D_CL^2);

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Roger Stafford
Roger Stafford 2017-7-26

1 个投票

If your “yellow star point” is as indicated in your diagram, there is a simple formula for finding it which doesn’t require finding J and K. Define vectors B = [x1;y1], C = [x2;y2], and define rB and rC as the respective radii of the circles with centers at B and C.
BC = B-C;
S = (B+C)/2 - (rB^2-rC^2)/(2*dot(BC,BC))*BC; % <-- yellow star point
Of course, if rB and rC are equal, then S is simply
S = (B+C)/2
which would be the midpoint between B and C.

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