Formulario di topografia
Teoremi sull intersezione, Snellius e Hansen (2 pagine formato doc)
Teorema sull‘INTERSEZIONE
Tg (AB)= XB-XA/ YB-YA
AB¯=XB-XA/ sen(AB)
γ= 180-(α+β)
APˉ=ABˉ/ senγ·senβ
BPˉ= ABˉ/ senγ·senα
(AP)=(AB)-α
(BP)=(AB)±180+β
(XP)A=APˉ·sen(AP)
(YP)A= APˉ·cos(AP)
(XP)B=BPˉ·sen(BP)
(YP)B= BPˉ·cos(BP)
XP=XA+(XP)A
YP=YA+(YP)A
XP=XB+(XP)B
YP=YB+(YP)B
Teorema di SNELLIUS
Tg(BA)=XA-XB/YA-YB
Tg(BC)=XC-XB/YC-YB
BAˉ= XA-XB/sen(BA)
BCˉ= XC-XB/sen (BC)
ω=(BA)-(BC)
PÂB=x
PĈB=y
x+y/2=180-½ (α+β+ω)
x-y/2=inv tg[tg x+y/2 ·cotg (θ+45)]
θ=inv tg AB¯·senβ/BC¯·senα
x=M+N
y=M-N.