Afficher la propriété

Vecteur normal

Vecteur directeur

Demi-plan

a = -1 (slider from -5 to 5, step 0.1)
b = 2 (slider from -5 to 5, step 0.1)
c = -4 (slider from -5 to 5, step 0.1)
d: a * x + b * y + c = 0.0
e = true
M = (2.6199999999999983, 1.7400000000000004)
s: a * x(M) + b * y(M) + c
texte1: "  a.x_M+b.y_M+c
=" + a + "x" + (x(M)) + "+" + b + "x" + (y(M)) + "+" + c + "
=" + s
N1 = If(s > 0.0, M)
N2 = If(s < 0.0, M)
A = (-8, -4)
f = OrthogonalLine(A, xAxis)
B = Intersect(f, d)
C: B + (b, -(a))
D: B + (b, 0.0)
u = Vector(B, D)
E = Midpoint(B, D)
F = Midpoint(D, C)
texte2: "" + (-(a))
texte3: "" + b
v = Vector(F, D)
w = Vector(F, C)
z = Vector(B, C)
G: B + (a, b)
I: B + (0.0, b)
J = Midpoint(I, B)
K = Midpoint(I, G)
g = Vector(J, B)
h = Vector(J, I)
i = Vector(K, I)
j = Vector(K, G)
texte4: b + ""
texte5: a + ""
k = Vector(B, G)
l = Vector(D, B)
m = true
n = false
o = false

Tool: Projection
Projette un point sur l'axe
Input: A
Output: a, b

B: (x(A), 0.0)
C: (0.0, y(A))
a = Segment(A, C)
b = Segment(A, B)