18. u,v,Sin[u/Cos[v]]   

parametrizacija

crtanje

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

GZ[f][u, v]

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

SZ[f][u, v]

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

RowBox[{ploha[f][u, v][u0, u1, du][v0, v1, dv], [, RowBox[{RowBox[{ViewPoint, , RowBox ... ,, 2.6}], }}]}], ,, BoxRatios {2, 2, 1}, ,, AxesNone, ,, BoxedFalse}], ]}]

[Graphics:../HTMLFiles/index_479.gif]

⁃Graphics3D⁃

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

[Graphics:../HTMLFiles/index_482.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[{ViewPoint, , RowBox ... ,, 2.6}], }}]}], ,, BoxRatios {2, 2, 1}, ,, AxesNone, ,, BoxedFalse}], ]}]

[Graphics:../HTMLFiles/index_486.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_490.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[{ViewPoint, , RowBox[ ... ,, 2.6}], }}]}], ,, BoxRatios {2, 2, 1}, ,, AxesNone, ,, BoxedFalse}], ]}]

[Graphics:../HTMLFiles/index_494.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)