Calcule Intersection

Mesure
λ
β
132,9857314
30,36326861
YP=YA+(XA-XB)-(YA-YB)*TAN(GistBP))/TANGistBP)-TAN(GistAP)
XP=XA+(YP-YA)*TAN(GistAP)
Demonstration
Tan(GistA) = (X-Xa)/(Y-Ya)
Tan(GistB) = (X-Xb)/(Y-Yb)
X-Xa = Y-Ya*Tan(GistA)
X-Xb = Y-Yb*Tan(GistB)
Xa-Xb =(Y-Yb)*Tan(GistB)-(Y-Ya)*Tan(GistA)
Xa-Xb =Y*(Tan(GistB-Tan(GistA))-Yb*Tan(GistB)+Ya*Tan(GistA)
Xa-Xb =(Y-Ya)*(Tan(GistB)-Tan(GistA))+(Ya-Yb)*Tan(GistB)

Y=Ya+(Xa-Xb)-(Ya-Yb)*TAN(GistB))/TAN(GistB)-TAN(GistA)
X=Xa+(Y-Ya)*TAN(GistA)



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