crtanje

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

GZ[f][u, v]

(Cos[u]^2 Cos[v]^2 (1 - Sin[u]^2 Sin[v]^2))/(Cos[u]^2 Cos[v]^2 + Cos[v]^4 Sin[u]^2 + Cos[u]^4 Sin[v]^2)^2

SZ[f][u, v]

(-Cos[v]^4 - Cos[u]^2 (Cos[u]^2 + Cos[v]^2 (Sin[v]^2 + Sin[u]^2 (1 + 2 Sin[v]^2))))/(2 (Cos[u]^2 Cos[v]^2 + Cos[v]^4 Sin[u]^2 + Cos[u]^4 Sin[v]^2)^(3/2))

prvo[f][u, v][u0, u1, du][v0, v1, dv][AxesNone, BoxedFalse]

[Graphics:../HTMLFiles/index_345.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_349.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][AxesNone, BoxedFalse]

[Graphics:../HTMLFiles/index_353.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_357.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][AxesNone, BoxedFalse]

[Graphics:../HTMLFiles/index_361.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)