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Teoremi sull intersezione, Snellius e Hansen (2 pagine formato doc)

Appunto di talia88
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.