(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 3749, 117] NotebookOptionsPosition[ 3436, 101] NotebookOutlinePosition[ 3770, 116] CellTagsIndexPosition[ 3727, 113] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Example 1", "Title", CellChangeTimes->{{3.454668774931506*^9, 3.4546687771674*^9}}], Cell[BoxData[{ RowBox[{ RowBox[{"c1", "=", RowBox[{"ParametricPlot3D", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"2", RowBox[{"Cos", "[", "t", "]"}]}], ",", RowBox[{"3", RowBox[{"Sin", "[", "t", "]"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{"t", ",", "0", ",", RowBox[{"2", "Pi"}]}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}]}], "]"}]}], ";", RowBox[{"s1", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"x", "^", "2"}], "-", RowBox[{"y", "^", "2"}]}], ")"}], "/", "8"}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "4"}], ",", "4"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "4"}], ",", "4"}], "}"}]}], "]"}]}], ";", RowBox[{"comp1", "=", RowBox[{"ParametricPlot3D", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"2", RowBox[{"Cos", "[", "t", "]"}]}], ",", RowBox[{"3", RowBox[{"Sin", "[", "t", "]"}]}], ",", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"2", RowBox[{"Cos", "[", "t", "]"}]}], ")"}], "^", "2"}], "-", RowBox[{ RowBox[{"(", RowBox[{"3", RowBox[{"Sin", "[", "t", "]"}]}], ")"}], "^", "2"}]}], ")"}], "/", "8"}]}], "}"}], ",", RowBox[{"{", RowBox[{"t", ",", "0", ",", RowBox[{"2", "Pi"}]}], "}"}], ",", RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{"Show", "[", RowBox[{"c1", ",", "s1", ",", "comp1"}], "]"}]}], "Input", CellChangeTimes->{{3.411302655928485*^9, 3.411302700299361*^9}, { 3.411303088920348*^9, 3.4113030893102016`*^9}, {3.411303122773354*^9, 3.411303165606852*^9}, {3.411304891727116*^9, 3.411304946292255*^9}, { 3.411306930414281*^9, 3.411306965891601*^9}, {3.411307095967731*^9, 3.4113071037083397`*^9}, {3.411307177103366*^9, 3.41130721227699*^9}, { 3.454758156631497*^9, 3.4547581599485073`*^9}, {3.4548435821667128`*^9, 3.454843596430687*^9}, {3.454843700314411*^9, 3.454843867697534*^9}, { 3.454844024484147*^9, 3.4548441849184723`*^9}, {3.4548442333045473`*^9, 3.454844240607534*^9}, {3.454844514531618*^9, 3.4548445175199327`*^9}, { 3.454844573555769*^9, 3.45484461540549*^9}, {3.454844683893723*^9, 3.454844795440461*^9}, {3.454848095526873*^9, 3.4548481105154943`*^9}}] }, Open ]] }, WindowSize->{640, 750}, WindowMargins->{{5, Automatic}, {Automatic, 5}}, FrontEndVersion->"6.0 for Mac OS X x86 (32-bit) (June 19, 2007)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[590, 23, 90, 1, 76, "Title"], Cell[683, 26, 2737, 72, 118, "Input"] }, Open ]] } ] *) (* End of internal cache information *)