ahjzhk.py

Created by tari-patrik-lfgeb

Created on June 02, 2025

925 Bytes


vAB=(Xb-Xa;Yb-Ya)
Al Kashi:
BC**2=AC**2+AB**2-2*AB*AC*cos(a
Produit scalaire:
Si vAB*vAC=0,alors ABAC
      ,donc tr ABV est rect.
vAB*vAC=(Xvab*Xvac)+(Yvab*Yvac)
AB(longueur)=vAB**2
vAB*vAC=AB*AC*cos(vAB;vAC)
                  ou(BAC)
milieuAB=(Xa+Xb/2;Ya+Yb/2)
Médiane:
MI=rayon de cercle avec Imilieu
MA**2+MB**2=Ensemble des points
MA**2+MB**2=2MI**2+1/2AB**2
(vMA*vMB=MI**2-1/4AB**2)
(MA**2-MB**2=2vIM*vAB)
Cercle
r**2=(Xa-Xo)*2+(Ya-Yo)**2
C(x;y):
  x=-a/2
  y=-b/2
r=x**2+y**2-c
Droit
M(X;Y)(imagine)
vBM(x-xB;y-yb)
vAB(connu)
vBM*vAB=xvAB(x-xb)+yvAB(y-yb)
Vec normale:
  A(xA;yA) et vU(a;b)
(d):a*xA+b*yA+c(a calculer)=0
mais pour l'equation A exist x
Vec directeur:
  A(A;B)/ vU(a;b)/ M(x;y)
vAM=a calculer
  (d):-bx+ay+c=0
Si (d')(d), vn(d)=vd(d')
Projeté
2droites,2équations(x et y)
Équation de la Tang.
T=vAB*vBM

Équation BC
xvBC(yvBM)=-yvBC(xvBM)
A' milieu de HH'
xA'=xH+xH'/2
xH'=2xA'-xH

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