crtanje

f[u_, v_] := {xuv[u, v], yuv[u, v], zuv[u, v]}

GZ[f][u, v]

(Cos[u] Cos[v] (Sin[u] Sin[v] - Cos[u] Cos[v] Sin[u + v]^2))/(Cos[u]^2 Cos[v]^2 + (Cos[u]^2 + Cos[v]^2) Cos[u + v]^2)^2

SZ[f][u, v]

-(Sin[u] Sin[v] (3 Sin[u + v] + Sin[3 (u + v)] + Sin[3 u + v] + Sin[u + 3 v]))/(4 (Cos[u]^2 Cos[v]^2 + (Cos[u]^2 + Cos[v]^2) Cos[u + v]^2)^(3/2))

prvo[f][u, v][u0, u1, du][v0, v1, dv][BoxedFalse, AxesFalse]

[Graphics:../HTMLFiles/index_453.gif]

Prikaz plohe f(u,v) u podrucju [ u , u ]×[ v , v ] 0 1 0 1

(⁃Graphics3D⁃) &&Null

drugo[f][u, v][u0, u1, du][v0, v1, dv][PlotPoints50]

[Graphics:../HTMLFiles/index_457.gif]

Graf funkcije Gussove zakrivljenosti plohe f(u,v) nad podrucjem [ u , u ]×[ v , v ] 0 1 0 1

(⁃SurfaceGraphics⁃) &&Null

trece[f][u, v][u0, u1, du][v0, v1, dv][BoxedFalse, AxesFalse]

[Graphics:../HTMLFiles/index_461.gif]

Prikaz plohe f(u,v) u podrucju [ u , u ]×[ v , v ] obojan bojom Hue(GZ) 0 1 0 1

(⁃Graphics3D⁃) &&Null

cetvrto[f][u, v][u0, u1, du][v0, v1, dv][PlotPoints50]

[Graphics:../HTMLFiles/index_465.gif]

Graf funkcije srednje zakrivljenosti plohe f(u,v) nad podrucjem [ u , u ]×[ v , v ] 0 1 0 1

(⁃SurfaceGraphics⁃) &&Null

peto[f][u, v][u0, u1, du][v0, v1, dv][BoxedFalse, AxesFalse]

[Graphics:../HTMLFiles/index_469.gif]

Prikaz plohe f(u,v) u podrucju [ u , u ]×[ v , v ] obojan bojom Hue(SZ) 0 1 0 1

(⁃Graphics3D⁃) &&Null

Created by Mathematica  (May 4, 2004)