hauteur du cône

rayon du cône

S

M_1

M_2

O

Patron\ d'un\ cône : outil\ de\ vérification

MathsEnClair.com

h = 4
R = 2
ChampTexte1 = Textfield(h)
ChampTexte2 = Textfield(R)
R': sqrt(R^(2) + h^(2))
S = (2.7433236818825835, 0.747650903682458)
A = (0.5859125603280467, -2.1836142071253373)
a = Ray(S, A)
c = Circle(S, R')
M_1 = Intersect(c, a, 1)
α_1: (360 * R / R')
M_2 = Rotate(M_1, α_1°, S)
α = Angle(M_1, S, M_2)
b = Segment(S, M_2)
d = Segment(S, M_1)
e = CircleSector(S, M_1, M_2)
B = Rotate(M_1, (α_1 / 2)°, S)
γ = Angle(M_1, S, B)
f = Ray(S, B)
g = Circle(B, R)
O = Intersect(g, f, 2)
k = Circle(O, B)
D = Midpoint(b)
E = Midpoint(d)
C = Point(k)
F = Midpoint(O, C)
u = Vector(F, O)
v = Vector(F, C)
texte8: "R=" + (LaTeX[R]) + ""
texte6: "SM_1\approx" + (LaTeX[R']) + ""
texte7: "SM_2\approx" + (LaTeX[R']) + ""