crtanje

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

GZ[f][u, v]

-(Sinh[u v] (2 u v Cosh[u v] + Sinh[u v]))/(1 + (u^2 + v^2) Sinh[u v]^2)^2

SZ[f][u, v]

(-(u^2 + v^2) Cosh[u v] + 2 u v Sinh[u v]^3)/(2 (1 + (u^2 + v^2) Sinh[u v]^2)^(3/2))

RowBox[{ploha[f][u, v][u0, u1, du][v0, v1, dv], [, RowBox[{RowBox[{BoxRatios, , RowBox ... RowBox[{{-1, 1}, ,, {-1, 1}, ,, RowBox[{{, RowBox[{-2, ,, RowBox[{-, 0.9}]}], }}]}], }}]}]}], ]}]

[Graphics:../HTMLFiles/index_504.gif]

⁃Graphics3D⁃

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

[Graphics:../HTMLFiles/index_507.gif]

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

(⁃SurfaceGraphics⁃) &&Null

RowBox[{trece[f][u, v][u0, u1, du][v0, v1, dv], [, RowBox[{RowBox[{BoxRatios, , RowBox ... RowBox[{{-1, 1}, ,, {-1, 1}, ,, RowBox[{{, RowBox[{-2, ,, RowBox[{-, 0.9}]}], }}]}], }}]}]}], ]}]

[Graphics:../HTMLFiles/index_511.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_515.gif]

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

(⁃SurfaceGraphics⁃) &&Null

RowBox[{peto[f][u, v][u0, u1, du][v0, v1, dv], [, RowBox[{RowBox[{BoxRatios, , RowBox[ ... RowBox[{{-1, 1}, ,, {-1, 1}, ,, RowBox[{{, RowBox[{-2, ,, RowBox[{-, 0.9}]}], }}]}], }}]}]}], ]}]

[Graphics:../HTMLFiles/index_519.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)