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authorNao Pross <naopross@thearcway.org>2020-04-09 11:33:42 +0200
committerNao Pross <naopross@thearcway.org>2020-04-09 11:33:42 +0200
commitbc1ba67c714fe08eda1d246bb23232518d9db98f (patch)
treee25fa05f52ea04b1d5ec59ba89bbcb58c8a522bd
parentAdd references, notation and license, update curve table (diff)
downloadAn2E-bc1ba67c714fe08eda1d246bb23232518d9db98f.tar.gz
An2E-bc1ba67c714fe08eda1d246bb23232518d9db98f.zip
Add figure: examplel curve
-rw-r--r--an2e_zf.pdfbin59600 -> 69262 bytes
-rw-r--r--an2e_zf.tex11
-rw-r--r--fig/plane-curve.eps2492
-rw-r--r--fig/plane-curve.ipe304
4 files changed, 2805 insertions, 2 deletions
diff --git a/an2e_zf.pdf b/an2e_zf.pdf
index 0117265..46bc7a9 100644
--- a/an2e_zf.pdf
+++ b/an2e_zf.pdf
Binary files differ
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
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+%%EndResource
+%%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. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI12.
+% 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
+
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+/FullName (CMMI12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) readonly def
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+/ascent 750 def
+end readonly def
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+0 1 255 {1 index exch /.notdef put} for
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+readonly def
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+%%EndResource
+%%BeginResource: font CMR17
+%!PS-AdobeFont-1.0: CMR17 003.002
+%%Title: CMR17
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR17.
+% 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
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+/FontName /f-1-0 def
+/FontBBox {-33 -250 945 749 }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 CMR17.) readonly def
+/FullName (CMR17) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) 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 exch /.notdef put} for
+dup 40 /parenleft put
+dup 41 /parenright put
+dup 61 /equal put
+readonly def
+currentdict end
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+%%EndResource
+%%BeginResource: font CMR17
+%!PS-AdobeFont-1.0: CMR17 003.002
+%%Title: CMR17
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR17.
+% 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
+
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+/FontName /f-1-1 def
+/FontBBox {-33 -250 945 749 }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 CMR17.) readonly def
+/FullName (CMR17) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) 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 exch /.notdef put} for
+dup 1 /Lambda put
+readonly def
+currentdict end
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+%%EndResource
+%%BeginResource: font CMBX12
+%!PS-AdobeFont-1.0: CMBX12 003.002
+%%Title: CMBX12
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMBX12.
+% 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
+
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+/version (003.002) readonly def
+/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050<http://www.ams.org>\051, with Reserved Font Name CMBX12.) readonly def
+/FullName (CMBX12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Bold) readonly def
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+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 117 /u put
+readonly def
+currentdict end
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+%%EndResource
+%%BeginResource: font CMBX10
+%!PS-AdobeFont-1.0: CMBX10 003.002
+%%Title: CMBX10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. 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
+
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+/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
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+/UnderlinePosition -100 def
+/UnderlineThickness 50 def
+end readonly def
+/Encoding 256 array
+0 1 255 {1 index exch /.notdef put} for
+dup 114 /r put
+readonly def
+currentdict end
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+%%EndResource
+%%BeginResource: font CMR10
+%!PS-AdobeFont-1.0: CMR10 003.002
+%%Title: CMR10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR10.
+% 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
+
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+/FontName /f-4-0 def
+/FontBBox {-40 -250 1009 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 CMR10.) readonly def
+/FullName (CMR10) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) 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 exch /.notdef put} for
+dup 40 /parenleft put
+dup 41 /parenright put
+dup 61 /equal put
+readonly def
+currentdict end
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+%%EndResource
+%%BeginResource: font CMMI10
+%!PS-AdobeFont-1.0: CMMI10 003.002
+%%Title: CMMI10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI10.
+% 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
+
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+/FullName (CMMI10) readonly def
+/FamilyName (Computer Modern) readonly def
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+end readonly def
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+%%BeginResource: font CMMI10
+%!PS-AdobeFont-1.0: CMMI10 003.002
+%%Title: CMMI10
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMMI10.
+% 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
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+%%EndResource
+%%BeginResource: font CMR12
+%!PS-AdobeFont-1.0: CMR12 003.002
+%%Title: CMR12
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR12.
+% 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
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+/FontName /f-6-0 def
+/FontBBox {-34 -251 988 750 }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 CMR12.) readonly def
+/FullName (CMR12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) 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 exch /.notdef put} for
+dup 40 /parenleft put
+dup 41 /parenright put
+dup 95 /underscore put
+readonly def
+currentdict end
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+%%EndResource
+%%BeginResource: font CMR12
+%!PS-AdobeFont-1.0: CMR12 003.002
+%%Title: CMR12
+%Version: 003.002
+%%CreationDate: Mon Jul 13 16:17:00 2009
+%%Creator: David M. Jones
+%Copyright: Copyright (c) 1997, 2009 American Mathematical Society
+%Copyright: (<http://www.ams.org>), with Reserved Font Name CMR12.
+% 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
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+/FontName /f-6-1 def
+/FontBBox {-34 -251 988 750 }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 CMR12.) readonly def
+/FullName (CMR12) readonly def
+/FamilyName (Computer Modern) readonly def
+/Weight (Medium) 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 exch /.notdef put} for
+dup 1 /Lambda put
+dup 2 /dieresis put
+readonly def
+currentdict end
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