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Diffstat (limited to '')
-rw-r--r-- | an2e_zf.pdf | bin | 59600 -> 69262 bytes | |||
-rw-r--r-- | an2e_zf.tex | 11 | ||||
-rw-r--r-- | fig/plane-curve.eps | 2492 | ||||
-rw-r--r-- | fig/plane-curve.ipe | 304 |
4 files changed, 2805 insertions, 2 deletions
diff --git a/an2e_zf.pdf b/an2e_zf.pdf Binary files differindex 0117265..46bc7a9 100644 --- a/an2e_zf.pdf +++ b/an2e_zf.pdf diff --git a/an2e_zf.tex b/an2e_zf.tex index fcc1a94..a0ee725 100644 --- a/an2e_zf.tex +++ b/an2e_zf.tex @@ -143,7 +143,7 @@ Alle normale differenziazionsregeln gelten. \end{multicols} \section{Ebene \brpage{250} und Raumkurven \brpage{263}} -\begin{sideways} +\begin{sidewaystable} \centering \renewcommand{\arraystretch}{1.5} \begin{tabular}{l *{3}{>{\(\displaystyle}l<{\)}} } @@ -174,9 +174,16 @@ Rotationsoberfl\"ache um \(x\) % Rotationsoberfl\"ache um \(y\) \\ \bottomrule \end{tabular} -\end{sideways} +\end{sidewaystable} \begin{multicols}{2} +\subsection{Darstellungen} +\begin{figure}[H] +\centering +\includegraphics[width=.9\linewidth]{fig/plane-curve.eps} +\caption{Die ebene Kurve \(\Lambda(t)\) kann Explizit (in diesem Fall nicht), Implizit \(\vec{u}(x,y)\), Polar \(\vec{r}(\varphi)\) oder in Parameterform \((x(t), y(t))\) dargestellt werden.} +\end{figure} + \subsection{Kr\"ummung} \[ \kappa = \deriv{\alpha}{s} = \frac{\ddot{y}}{(1+\dot{y}^2)^{3/2}} diff --git a/fig/plane-curve.eps b/fig/plane-curve.eps new file mode 100644 index 0000000..757a7f5 --- /dev/null +++ b/fig/plane-curve.eps @@ -0,0 +1,2492 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%Creator: cairo 1.15.10 (http://cairographics.org) +%%CreationDate: Thu Apr 9 11:29:49 2020 +%%Pages: 1 +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%BoundingBox: 0 0 306 225 +%%EndComments +%%BeginProlog +50 dict begin +/q { gsave } bind def +/Q { grestore } bind def +/cm { 6 array astore concat } bind def +/w { setlinewidth } bind def +/J { setlinecap } bind def +/j { setlinejoin } bind def +/M { setmiterlimit } bind def +/d { setdash } bind def +/m { moveto } bind def +/l { lineto } bind def +/c { curveto } bind def +/h { closepath } bind def +/re { exch dup neg 3 1 roll 5 3 roll moveto 0 rlineto + 0 exch rlineto 0 rlineto closepath } bind def +/S { stroke } bind def +/f { fill } bind def +/f* { eofill } bind def +/n { newpath } bind def +/W { clip } bind def +/W* { eoclip } bind def +/BT { } bind def +/ET { } bind def +/BDC { mark 3 1 roll /BDC pdfmark } bind def +/EMC { mark /EMC pdfmark } bind def +/cairo_store_point { /cairo_point_y exch def /cairo_point_x exch def } def +/Tj { show currentpoint cairo_store_point } bind def +/TJ { + { + dup + type /stringtype eq + { show } { -0.001 mul 0 cairo_font_matrix dtransform rmoveto } ifelse + } forall + currentpoint cairo_store_point +} bind def +/cairo_selectfont { cairo_font_matrix aload pop pop pop 0 0 6 array astore + cairo_font exch selectfont cairo_point_x cairo_point_y moveto } bind def +/Tf { pop /cairo_font exch def /cairo_font_matrix where + { pop cairo_selectfont } if } bind def +/Td { matrix translate cairo_font_matrix matrix concatmatrix dup + /cairo_font_matrix exch def dup 4 get exch 5 get cairo_store_point + /cairo_font where { pop cairo_selectfont } if } bind def +/Tm { 2 copy 8 2 roll 6 array astore /cairo_font_matrix exch def + cairo_store_point /cairo_font where { pop cairo_selectfont } if } bind def +/g { setgray } bind def +/rg { setrgbcolor } bind def +/d1 { setcachedevice } bind def +/cairo_data_source { + CairoDataIndex CairoData length lt + { CairoData CairoDataIndex get /CairoDataIndex CairoDataIndex 1 add def } + { () } ifelse +} def +/cairo_flush_ascii85_file { cairo_ascii85_file status { cairo_ascii85_file flushfile } if } def +/cairo_image { image cairo_flush_ascii85_file } def +/cairo_imagemask { imagemask cairo_flush_ascii85_file } def +%%EndProlog +%%BeginSetup +%%BeginResource: font CMMI12 +%!PS-AdobeFont-1.0: CMMI12 003.002 +%%Title: CMMI12 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. 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Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments + +11 dict begin +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /f-3-0 def +/FontBBox {-56 -250 1164 750 }readonly def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX10.) readonly def +/FullName (CMBX10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Bold) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +end readonly def +/Encoding 256 array +0 1 255 {1 index 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