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Formula of a circle
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General information
Forum:
Visual FoxPro
Category:
Other
Environment versions
Visual FoxPro:
VFP 9 SP1
OS:
Windows XP SP2
Network:
Windows 2003 Server
Database:
Visual FoxPro
Miscellaneous
Thread ID:
01265824
Message ID:
01265868
Views:
9
Yuri,

Thanks! Now I have the problem that if I do not make it work with the help from you, Hilmar and my co-workers I will have serious confidence problems <g>


>>I am trying to smooth some intersecting lines, and for that I think I need the formula of a circle that is tangent to this two intersecting lines; now, I realize that there will be infinite circles matching this, but I can or would like to <g> specify the tangent points (the points where the circle touches each line), but I am googling for this formula without much success, and all the links that look promising get blocked by the internet filter, so, does anyone know how can I solve this problem?
>>
>>
>>TIA
>>
>>Hugo
>
>Let as assume you know tangent lines and coordinates of tangent points on them:
>y=ax+b, (e,f)
>y=cx+d, (g,h)
>
>Then you draw the perpendicular lines
>y = -x/a + f + e/a
>y = -x/c + h + g/c
>
>Center of the circle is on the intersection of those two perpendicular lines:
>Cx = (h + g/c - f - e/a)* c* c/(a-c)
>Cy = -(Cx)/a + f + e/a
>
>Radius is:
>
>R= sqrt((Cx-e)^2 + (Cy - f)^2)
>
>And formula for circle is:
>
>(y-Cy)^2 + (x - Cx)^2 = R^2
>
>Good Luck
"The five senses obstruct or deform the apprehension of reality."
Jorge L. Borges?

"Premature optimization is the root of all evil in programming."
Donald Knuth, repeating C. A. R. Hoare

"To die for a religion is easier than to live it absolutely"
Jorge L. Borges
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