crtanje

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

GZ[f][u, v]

-1/(1 + u^2 + v^2)^2

SZ[f][u, v]

-(u v)/(1 + u^2 + v^2)^(3/2)

prvo[f][u, v][u0, u1, du][v0, v1, dv][BoxRatios {1, 1, 1}]

[Graphics:../HTMLFiles/index_29.gif]

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

(⁃Graphics3D⁃) &&Null

RowBox[{drugo[f][u, v][u0, u1, du][v0, v1, dv], [, RowBox[{PlotPoints100, ,, AxesLabel ... }], ,, RowBox[{-, 0.2}], ,, RowBox[{-, 0.1}], ,, 0}], }}]}], }}]}], ,, FaceGridsAll}], ]}]

[Graphics:../HTMLFiles/index_33.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[{BoxRatios {1, 1, ... wPoint, ->, RowBox[{{, RowBox[{1.1, ,, , -3, ,, , 1}], }}]}], ,, LightingFalse}], ]}]

[Graphics:../HTMLFiles/index_37.gif]

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

(⁃Graphics3D⁃) &&Null

RowBox[{cetvrto[f][u, v][u0, u1, du][v0, v1, dv], [, RowBox[{PlotPoints100, ,, AxesLab ... }], ,, RowBox[{-, 0.2}], ,, RowBox[{-, 0.1}], ,, 0}], }}]}], }}]}], ,, FaceGridsAll}], ]}]

[Graphics:../HTMLFiles/index_41.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[{BoxRatios {1, 1, 1}, ,, Axes ... wPoint, ->, RowBox[{{, RowBox[{1.1, ,, , -3, ,, , 1}], }}]}], ,, LightingFalse}], ]}]

[Graphics:../HTMLFiles/index_45.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)