%% This is file `pst-geometrictools.tex', %% %% Thomas Söll %% fixes for lualatex by Herbert Voß %% %% This program can redistributed and/or modified under %% %% the terms of the LaTeX Project Public License %% %% Distributed from CTAN archives in directory %% %% macros/latex/base/lppl.txt; either version 1.3c of %% %% the License, or (at your option) any later version. %% %% %% DESCRIPTION: %% `pst-geometrictools' is a PSTricks package to draw a protractor, a ruler, a compass and pencils %% %% \csname PSTgeometrictoolsLoaded\endcsname \let\PSTgeometrictoolsLoaded\endinput % Requires PSTricks, pst-xkey, pst-node packages \ifx\PSTricksLoaded\endinput \else\input pstricks.tex\fi \ifx\PSTXKeyLoaded\endinput \else\input pst-xkey.tex\fi \ifx\PSTEuclideLoaded\endinput\else\input pst-eucl.tex\fi \ifx\PSTnodeLoaded\endinput \else\input pst-node.tex\fi \def\fileversion{1.3} \def\filedate{2021/12/28} \message{`PST' v\fileversion, \filedate} \edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax \pst@addfams{pst-geometrictools} % \define@boolkey[psset]{pst-geometrictools}[Pst@]{Ghost}[true]{} \define@key[psset]{pst-geometrictools}{ProLineCol}[cyan]{\pst@getcolor{#1}\ProLineCol} \define@key[psset]{pst-geometrictools}{ProFillCol}[gray!60]{\pst@getcolor{#1}\ProFillCol} \define@key[psset]{pst-geometrictools}{ProScale}[1]{\def\pst@ProScale{#1 }}% \define@key[psset]{pst-geometrictools}{OwnerTxt}[Euklid]{\def\pst@OwnerTxt{#1}}% \define@key[psset]{pst-geometrictools}{MadeTxt}[made in NES]{\def\pst@MadeTxt{#1}}% \define@key[psset]{pst-geometrictools}{PSfontO}[Symbol]{\def\pst@PSfontO{/#1 }} \define@key[psset]{pst-geometrictools}{fontsizeO}[10]{\def\pst@fontsizeO{#1 }} \define@key[psset]{pst-geometrictools}{PSfontM}[NimbusRomNo9L-Regu]{\def\pst@PSfontM{/#1 }} \define@key[psset]{pst-geometrictools}{fontsizeM}[6]{\def\pst@fontsizeM{#1 }} \define@key[psset]{pst-geometrictools}{country}[Germany]{\def\pst@country{#1}} \psset[pst-geometrictools]{ProScale=1,OwnerTxt={Euklid},MadeTxt={made in NES}, country=Germany,PSfontO=StandardSymL,PSfontM=NimbusRomNo9L-Regu,fontsizeO=10,fontsizeM=6, ProFillCol=gray!60,ProLineCol=cyan,Ghost=false} \def\psProtractor{\def\pst@par{}\pst@object{psProtractor}} \def\psProtractor@i#1(#2){\@ifnextchar({\psProtractor@ii{#1}(#2)}{\psProtractor@ii{#1}(#2)(#2)}}% \def\psProtractor@ii#1(#2)(#3){%------------------------------- #1 Winkel, #2 Ursprung P, zweiter Punkt Q für Winkel \begin@SpecialObj \pst@killglue % \begingroup \pnode(#2){@PGD}% \pnode(#3){@QGD}% \use@par \pst@getcoor{@QGD}\pst@tempB % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempB \pst@getcoor{@PGD}\pst@tempA % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempA \addto@pscode{% /sysfill {systemdict /fill get exec} def /Country (\pst@country) def /cm {28.45274 mul} def % ---------------------------------------- Definiere cm als Längeneinheit mit der multipliziert wird \pst@tempA \tx@UserCoor /@y1 ED /@x1 ED % ---------- Definiere die Koordinaten des Ursprungs (zur Winkelberechnung benötigt) \pst@tempB \tx@UserCoor /@y2 ED /@x2 ED % ---------- Definiere die Koordinaten des zweiten Punktes (zur Winkelberechnung benötigt) @y1 @y2 sub @x1 @x2 sub Atan /@delta ED %------------ Winkelberechnung \pst@tempA \pst@coor T % ------------------------------------ Tranformiere den Koordinatenursprung in P @delta #1 add 180 add rotate % ------------------------------ Drehe das gesamte Geodreieck \pst@ProScale dup scale % -------- Skaliere das ganze Geodreieck %------------------------------------------------------------------------------------------------------------- gsave \ifPst@Ghost\else %-------------- Äußere Begrenzung des Geodreiecks ----------------------------------------------- gsave newpath -8 cm 0 moveto 16 cm 0 rlineto -8 cm 8 cm rlineto closepath % gsave 0.7 setlinewidth 0.1 setgray stroke % grestore grestore %------------------------------------------------------------------------------------------------------------- %-------------- Gefüllter innerer Teil des Geodreiecks ----------------------------------------------- gsave newpath -7.5 cm 0.5 22.5 tan mul cm moveto 15 cm 0 rlineto -7.5 cm 7.5 cm rlineto closepath % gsave \pst@usecolor\ProFillCol % [ /ca .1 /SetTransparency pdfmark % set transparency 0.1 .setopacityalpha sysfill % grestore grestore %------------------------------------------------------------------------------------------------------------- %-------------- Millimetereinteilung auf der Grundseite ------------------------------------------- /mmBlinie { newpath -7 cm 0 cm moveto 0 cm 0.17 cm rlineto % closepath gsave 0.5 setlinewidth 0 setgray stroke grestore 0.1 cm 0 cm translate } def gsave 140 {mmBlinie} repeat grestore %------------------------------------------------------------------------------------------------------------- %-------------- 0,5- cm-Einteilung auf der Grundseite ---------------------------------------------- /cmBlinie { newpath -7 cm 0 cm moveto 0 cm 0.27 cm rlineto % closepath gsave 0.55 setlinewidth 0 setgray stroke grestore 0.5 cm 0 cm translate } def gsave 29 {cmBlinie} repeat grestore %------------------------------------------------------------------------------------------------------------- %-------------- mm-Einteilung von der Grundseite nach oben ------------------------------------ /mmlinie { newpath -2.3 cm 0.3 cm moveto 0.2 cm 0 rlineto 2.2 cm 0.3 cm moveto 0.2 cm 0 rlineto % closepath gsave 0.5 setlinewidth 0 setgray stroke grestore 0 cm 0.1 cm translate } def gsave 33 {mmlinie} repeat grestore %------------------------------------------------------------------------------------------------------------- %-------------- 0,5 cm-Einteilung von der Grundseite nach oben -------------------------------- /cmlinie { newpath -4.5 cm 0.5 cm moveto 2 cm 0 rlineto 0.75 cm 0 rmoveto 1.5 cm 0 rlineto 0.5 cm 0 rmoveto 1.5 cm 0 rlineto 0.75 cm 0 rmoveto 2 cm 0 rlineto % closepath gsave 0.6 setlinewidth 0 setgray stroke grestore 0 cm 0.5 cm translate } def %------------------------------------------------------------------------------------------------------------------------------------------------------------ %--------------- Clippen entlang eines Kreises der 0,5 cm-Einteilung von der Grundseite nach oben ------------------------------------ /kreisring { newpath 0 0 translate 0 0 4.2 cm 0 180 arc closepath } def gsave kreisring clip 7 {cmlinie} repeat grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- farbiger und transparenter Halb-Ring ----------------------------------------------------------------------------- gsave newpath 0 0 translate 0 0 5.1 cm 6 174 arc 0 0 4.8 cm 174 6 arcn closepath % gsave \pst@usecolor\ProLineCol % [ /ca .4 /SetTransparency pdfmark % set transparency 0.4 .setopacityalpha sysfill % grestore grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 1-Grad-Winkeleinteilung an der linken Kathete ----------------------------------------------------------------- gsave 91 1 179 { /Wk exch def % ---------------------------------------------------- Schleifenvariable festlegen, die von 91° bis 179° geht {8 Wk sin Wk cos div 1 sub div} /xWS1 exch def %---------- xWS1=8/(tan(alpha)-1) --> SP der Geraden linke Kathete mit Ursprungsgeraden im Winkel alpha {7.8 Wk sin Wk cos div 1 sub div} /xWS2 exch def % ------- xWS2=7,8/(tan(alpha)-1) --> SP einer Parallelen zur Geraden linke Kathete mit Ursprungsgeraden im Winkel alpha newpath xWS1 cm xWS1 8 add cm moveto % --------------------------- zu xWS1 gehöriger y-Wert ist xWS1 + 8 xWS2 cm xWS2 7.8 add cm % ----------------------------------- zu xWS2 gehöriger y-Wert ist xWS1 + 7,8 lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 5-Grad-Winkeleinteilung an der linken Kathete ----------------------------------------------------------------- gsave 95 5 175 { /Wk exch def {8 Wk sin Wk cos div 1 sub div} /xWS1 exch def {7.6 Wk sin Wk cos div 1 sub div} /xWS2 exch def newpath xWS1 cm xWS1 8 add cm moveto xWS2 cm xWS2 7.6 add cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 10-Grad-Winkeleinteilung an der linken Kathete ----------------------------------------------------------------- gsave 100 10 170 { /Wk exch def {8 Wk sin Wk cos div 1 sub div} /xWS1 exch def {5.1 Wk cos mul Wk cos div 1 sub div} /xWS2 exch def newpath xWS1 cm xWS1 8 add cm moveto 5.1 Wk cos mul cm 5.1 Wk sin mul cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 1-Grad-Winkeleinteilung an der rechten Kathete --------------------------------------------------------------- gsave 1 1 89 { /Wk exch def {8 Wk sin Wk cos div 1 add div} /xWS1 exch def {7.8 Wk sin Wk cos div 1 add div} /xWS2 exch def newpath xWS1 cm xWS1 neg 8 add cm moveto xWS2 cm xWS2 neg 7.8 add cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 5-Grad-Winkeleinteilung an der rechten Kathete --------------------------------------------------------------- gsave 5 5 85 { /Wk exch def {8 Wk sin Wk cos div 1 add div} /xWS1 exch def {7.6 Wk sin Wk cos div 1 add div} /xWS2 exch def newpath xWS1 cm xWS1 neg 8 add cm moveto xWS2 cm xWS2 neg 7.6 add cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 10-Grad-Winkeleinteilung an der rechten Kathete -------------------------------------------------------------- gsave 10 10 80 { /Wk exch def {8 Wk sin Wk cos div 1 add div} /xWS1 exch def {5.1 Wk cos mul Wk cos div 1 add div} /xWS2 exch def newpath xWS1 cm xWS1 neg 8 add cm moveto 5.1 Wk cos mul cm 5.1 Wk sin mul cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 1-Grad-Winkeleinteilung auf Halbkreis ------------ --------------------------------------------------------------- gsave 5 1 175 { /Wk exch def newpath 4.3 Wk cos mul cm 4.3 Wk sin mul cm moveto 4.45 Wk cos mul cm 4.45 Wk sin mul cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %--------------- 5-Grad-Winkeleinteilung auf Halbkreis ------------ --------------------------------------------------------------- gsave 5 5 175 { /Wk exch def newpath 4.3 Wk cos mul cm 4.3 Wk sin mul cm moveto 4.5 Wk cos mul cm 4.5 Wk sin mul cm lineto % closepath 0.5 setlinewidth 0 setgray stroke } for grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %-------------------------- Linke Diagonallinie-dashed ------------------------------------------------------------------------------- gsave newpath /Wk 135 def {8 Wk sin Wk cos div 1 sub div} /xWS1 exch def 0 0 moveto 4.3 Wk cos mul cm 4.3 Wk sin mul cm lineto % closepath gsave [2 sqrt 2 div 0.24 sub cm 0.24 cm] -0.12 cm setdash 0.5 setlinewidth 0 setgray stroke grestore grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %-------------------------- Rechte Diagonallinie-dashed ----------------------------------------------------------------------------- gsave newpath /Wk 45 def {8 Wk sin Wk cos div 1 add div} /xWS1 exch def 0 0 moveto 4.3 Wk cos mul cm 4.3 Wk sin mul cm lineto % closepath gsave [2 sqrt 2 div 0.24 sub cm 0.24 cm] -0.12 cm setdash 0.5 setlinewidth 0 setgray stroke grestore grestore %--------------------------------------------------------------------------------------------------------------------------------------------- %---------------------------------------- Mittel-Linie ------------------------------------------------------------------------------------- gsave newpath 0 0.5 cm moveto 0 3.5 cm lineto 0 5.1 cm moveto 0 6.0 cm lineto 0 6.4 cm moveto 0 8.0 cm lineto % closepath gsave 0.5 setlinewidth 0 setgray stroke grestore grestore %-------------------------------------------------------------------------------------------------------------------------------------------------- %------------------------- Definition für horizontal-zentriertes - Setzen der cm- Zahlen (180° gedreht) ------------------------ /cmshow {% (string) x y gsave moveto 180 rotate % s /NimbusRomNo9L-Regu findfont 7 scalefont setfont dup % s s stringwidth pop 2 div neg 0 % s -dx/2 rmoveto 0.2 setgray show grestore } bind def %------------------------- Setzen der Zahlen für die cm-Einteilungen ----------------------------------------------------------------- 0 1 7 { /MZ exch def MZ 2 string cvs MZ cm 0.47 cm cmshow } for %---------------- Zahlen 0 bis 7 (nach rechts) 1 1 7 { /MZ exch def MZ 2 string cvs MZ neg cm 0.47 cm cmshow } for %----------- Zahlen 1 bis 7 (nach links) 1 1 3 { /MZ exch def MZ 2 string cvs 2 cm MZ 0.1 add cm cmshow } for %---------- Zahlen 1 bis 3 (nach oben, rechte Seite) 1 1 3 { /MZ exch def MZ 2 string cvs -2 cm MZ 0.1 add cm cmshow } for %--------- Zahlen 1 bis 3 (nach oben, linke Seite) %-------------------------------------------------------------------------------------------------------------------------------------------------- %------------------------- Definition für horizontal-zentriertes - Setzen der Winkel- Zahlen (mitgedreht) ---------------------- /cmRotshow {% ---------------------------------- (string), Winkel, x y gsave moveto 90 add rotate % s /NimbusRomNo9L-Regu findfont 7 scalefont setfont dup % s s stringwidth pop 2 div neg 0 % s -dx/2 rmoveto 0.2 setgray show grestore } bind def gsave %------------------------- Setzen der Zahlen für die Winkel-Einteilungen ------------------------------------------------------------------------------------------------- 10 10 170 { /MZ exch def MZ 3 string cvs MZ 5.03 cm MZ cos mul 5.03 cm MZ sin mul cmRotshow } for % ------------------ äußerer Kreisbogen 10 10 170 { /MZ exch def 180 MZ sub 3 string cvs MZ 4.75 cm MZ cos mul 4.75 cm MZ sin mul cmRotshow } for % ------- innerer Kreisbogen grestore %--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- /TSshow {% (string) x y gsave moveto 180 rotate % s \pst@PSfontO\space findfont \pst@fontsizeO scalefont setfont dup % s s stringwidth pop 2 div neg 0 % s -dx/2 rmoveto 0.4 setgray show grestore } bind def gsave (\pst@OwnerTxt) 0 cm 4 cm TSshow grestore %-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- /MadeShow {% (string) x y gsave moveto 180 rotate % s \pst@PSfontM\space findfont \pst@fontsizeM scalefont setfont dup % s s stringwidth pop 2 div neg 0 % s -dx/2 rmoveto 0.7 setgray show grestore } bind def gsave (\pst@MadeTxt) 0 cm 6.25 cm MadeShow grestore %---------------------------------------- Fahne ------------------------------------------------------------------------------------- gsave /Fahne { newpath 0 0 moveto 0 1 rlineto 1 0 rlineto 0 -1 rlineto closepath setrgbcolor % [ /ca .5 /SetTransparency pdfmark % set transparency 0.5 .setopacityalpha sysfill } def Country (France) eq { 0.73 cm 6.1 cm translate 3 6 scale 1 0 0 Fahne 1 0 translate 1 1 1 Fahne 1 0 translate 0 0 1 Fahne } if Country (Germany) eq { 0.775 cm 6.22 cm translate 7.5 1.5 scale 1 0.588 0 Fahne 0 -1 translate 0.75 0.07 0.11 Fahne 0 -1 translate 0 0 0 Fahne } if grestore %-------------------------------------------------------------------------------------------------------------------------------------------------- %--------------- Ende nur grestore von gsave ganz am Anfang ------------------ \fi grestore }% \pnode(! /cm {28.45274 mul} def % ---------------------------------------- Definiere cm als Längeneinheit mit der multipliziert wird \pst@tempA \tx@UserCoor /@y1 ED /@x1 ED % ---------- Definiere die Koordinaten des Ursprungs (zur Winkelberechnung benötigt) \pst@tempB \tx@UserCoor /@y2 ED /@x2 ED % ---------- Definiere die Koordinaten des zweiten Punktes (zur Winkelberechnung benötigt) @y1 @y2 sub @x1 @x2 sub Atan /@delta ED %------------ Winkelberechnung @x1 cm @y1 cm T % ------------------------------------ Tranformiere den Koordinatenursprung in P @delta #1 add 180 add rotate % ------------------------------ Drehe den oberen Punkt des Geodreiecks \pst@ProScale\space \pst@ProScale\space scale % -------- Skalieren! 0 8){GeodrC}% \pnode(! @x1 cm @y1 cm T % ------------------------------------ Tranformiere den Koordinatenursprung in P @delta #1 add 180 add rotate % ------------------------------ Drehe die linke untere Ecke des Geodreiecks \pst@ProScale\space \pst@ProScale\space scale % -------- Skalieren! -8 0){GeodrA}% \pnode(! @x1 cm @y1 cm T % ------------------------------------ Tranformiere den Koordinatenursprung in P @delta #1 add 180 add rotate % ------------------------------ Drehe die rechte untere Ecke des Geodreiecks \pst@ProScale\space \pst@ProScale\space scale % -------- Skalieren! 8 0){GeodrB}% %\endgroup% \end@SpecialObj \ignorespaces }% \definecolor{HolzCol}{rgb}{1,0.937,0.835}% \define@key[psset]{pst-geometrictools}{PenScale}[1]{\def\pst@PenScale{#1 }}% \define@key[psset]{pst-geometrictools}{PenLength}[5]{\def\pst@PenLength{#1 }}% \define@key[psset]{pst-geometrictools}{pencilColA}[red]{\pst@getcolor{#1}\pencilColA} \define@key[psset]{pst-geometrictools}{pencilColB}[HolzCol]{\pst@getcolor{#1}\pencilColB} \psset[pst-geometrictools]{PenLength=5,pencilColA=red,pencilColB=HolzCol,PenScale=1} \def\psPencil{\def\pst@par{}\pst@object{psPencil}} \def\psPencil@i#1(#2){%------------------------------- #1 Winkel, #2 Ursprung P \begin@SpecialObj \pst@killglue \begingroup \pnode(#2){@PGD}% \use@par \pst@getcoor{@PGD}\pst@tempA % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempA \addto@pscode{ /sysfill {systemdict /fill get exec} def %/Country (\pst@country) def /cm {28.45274 mul} def % ---------------------------------------- Definiere cm als Längeneinheit mit der multipliziert wird /Plength \pst@PenLength def % \pst@tempA \tx@UserCoor /@y1 ED /@x1 ED % ---------- Definiere die Koordinaten des Ursprungs (zur Winkelberechnung benötigt) \pst@tempA \pst@coor T % ------------------------------------ Tranformiere den Koordinatenursprung in P #1 rotate % ------------------------------ Drehe das gesamte Geodreieck \pst@PenScale dup scale % -------- Skaliere das ganze Geodreieck %------------------------------------------------------------------------------------------------------------- gsave %------------------------------------------------------------------------------------------------------------- %-------------- Unterer Holzteil des Stifts ------------------------------------------------------------- gsave newpath 0 cm 0 moveto -0.3 cm 1 cm rlineto 0 cm 0.2 cm rlineto 0.6 cm 0 cm rlineto 0 cm -0.2 cm rlineto closepath gsave \pst@usecolor\pencilColB fill grestore gsave 0.4 setlinewidth 0.5 setgray 1 setlinejoin stroke grestore grestore %------------------------------------------------------------------------------------------------------------- %-------------- langer farbiger Teil des Stifts ---------------------------------------------------------- gsave newpath -0.3 cm 1 cm moveto 0 cm Plength cm rlineto 0.6 cm 0 cm rlineto 0 cm Plength neg cm rlineto 0.3 cm 1.13 cm 0.13 cm 270 180 arcn 0 cm 1.13 cm 0.17 cm 0 180 arcn -0.3 cm 1.13 cm 0.13 cm 0 270 arcn closepath gsave \pst@usecolor\pencilColA fill grestore gsave 0.5 setlinewidth 0.1 setgray stroke grestore grestore %------------------------------------------------------------------------------------------------------------- %--------------------------- Spitze in Farbe -------------------------------------------------------------- gsave newpath 0 cm 0 moveto -0.1 cm 1 3 div cm rlineto 0.2 cm 0 cm rlineto closepath gsave \pst@usecolor\pencilColA fill grestore grestore %------------------------------------------------------------------------------------------------------------- %--------------------------- Striche im Stift -------------------------------------------------------------- gsave newpath -0.17 cm 1.13 cm moveto 0 cm Plength 0.13 sub cm rlineto 0.17 cm 1.13 cm moveto 0 cm Plength 0.13 sub cm rlineto closepath gsave 0.5 setlinewidth 0.1 setgray stroke grestore grestore %------------------------------------------------------------------------------------------------------------- %--------------------------- Elliptisches Stift-Ende in Holz -------------------------------------------- gsave newpath 0 cm Plength 1 add cm T 1 0.2 scale 0 cm 0 cm 0.3 cm 0 360 arc closepath gsave \pst@usecolor\pencilColB fill grestore gsave 0.5 setlinewidth 0.3 setgray stroke grestore grestore %------------------------------------------------------------------------------------------------------------- %--------------------------- Elliptisches Stift-Ende in Farbe ------------------------------------------- gsave newpath 0 cm Plength 1 add cm T 1 0.2 scale 0 cm 0 cm 0.1 cm 0 360 arc closepath gsave \pst@usecolor\pencilColA fill grestore gsave 0.3 setlinewidth 0.3 setgray stroke grestore grestore %-------------------------------------------------------------------------------------------------------- %-------------------------------------------------------------------------------------------------------- grestore }% \endgroup \end@SpecialObj\ignorespaces }% \define@key[psset]{pst-geometrictools}{RulerFillCol}[cyan!60]{\pst@getcolor{#1}\RulerFillCol} \define@key[psset]{pst-geometrictools}{RulerScale}[1]{\def\pst@RulerScale{#1 }}% \psset[pst-geometrictools]{RulerFillCol=gray,RulerScale=1} \def\psRuler{\def\pst@par{}\pst@object{psRuler}} \def\psRuler@i#1(#2){\@ifnextchar(% {\psRuler@ii{#1}(#2)}% {\psRuler@ii{#1}(#2)(#2)}}% \def\psRuler@ii#1(#2)(#3){%------------------------------- #1 Winkel, #2 Ursprung P, zweiter Punkt Q für Winkel \begin@SpecialObj \pst@killglue \begingroup% \pnode(#2){@PGD}% \pnode(#3){@QGD}% \use@par% \pst@getcoor{@QGD}\pst@tempB % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempB \pst@getcoor{@PGD}\pst@tempA % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempA \addto@pscode{ /sysfill {systemdict /fill get exec} def /cm {28.45274 mul} def % --------------------------------------- Definiere cm als Längeneinheit mit der multipliziert wird \pst@tempA \tx@UserCoor /@y1 ED /@x1 ED % ---------- Definiere die Koordinaten des Ursprungs (zur Winkelberechnung benötigt) \pst@tempB \tx@UserCoor /@y2 ED /@x2 ED % ---------- Definiere die Koordinaten des zweiten Punktes (zur Winkelberechnung benötigt) @y1 @y2 sub @x1 @x2 sub Atan /@delta ED %------------ Winkelberechnung \pst@tempA \pst@coor T % ------------------------------------ Tranformiere den Koordinatenursprung in P @delta #1 add 180 add rotate % ------------------------------ Drehe das gesamte Geodreieck \pst@RulerScale dup scale % ----------------------------------- Skaliere das ganze Geodreieck %------------------------------------------------------------------------------------------------------------- gsave %------------------------------------------------------------------------------------------------------------- %-------------- Füllung der beiden inneren Bereiche und äußere Begrenzung des Lineals ----------------------------------------------- gsave newpath -0.2 cm 0 moveto 30.4 cm 0 rlineto 0 cm -0.9 cm rlineto -30.4 cm 0 cm rlineto closepath gsave \pst@usecolor\RulerFillCol % [ /ca .25 /SetTransparency pdfmark % set transparency 0.25 .setopacityalpha sysfill grestore grestore %------------------------------------------------------------------------------------------------------------- gsave newpath -0.2 cm 0 moveto 30.2 cm 0 lineto 0 cm -3 cm rlineto -30.4 cm 0 cm rlineto closepath 3.75 cm -1.5 cm moveto 3.5 cm -1.5 cm 0.25 cm 0 360 arc closepath gsave \pst@usecolor\RulerFillCol % [ /ca .15 /SetTransparency pdfmark % set transparency 0.15 .setopacityalpha sysfill grestore gsave % 2 setlinejoin 0.7 setlinewidth 0.1 setgray stroke grestore grestore %------------------------------------------------------------------------------------------------------------- %-------------- Millimetereinteilung auf der Grundseite ------------------------------------------- /mmBlinie { newpath 0 cm 0 cm moveto 0 cm -0.25 cm rlineto gsave 0.5 setlinewidth 0 setgray stroke grestore 0.1 cm 0 cm translate } def gsave 300 {mmBlinie} repeat grestore %------------------------------------------------------------------------------------------------------------- %-------------- 0,5- cm-Einteilung auf der Grundseite ---------------------------------------------- /cmBlinie { newpath 0.5 cm 0 cm moveto 0 cm -0.375 cm rlineto % closepath gsave 0.55 setlinewidth 0 setgray stroke grestore 1 cm 0 cm translate } def gsave 30 {cmBlinie} repeat grestore %-------------- 1- cm-Einteilung auf der Grundseite ---------------------------------------------- /cmBlinie { newpath 0 cm 0 cm moveto 0 cm -0.5 cm rlineto % closepath gsave 0.6 setlinewidth 0 setgray stroke grestore 1 cm 0 cm translate } def gsave 31 {cmBlinie} repeat grestore %-------------------------------------------------------------------------------------------------------------------------------------------------- %------------------------- Definition für horizontal-zentriertes - Setzen der cm- Zahlen (180° gedreht) ------------------------ /cmshow {% (string) x y gsave moveto % s /NimbusRomNo9L-Regu findfont 8 scalefont setfont dup % s s stringwidth pop 2 div neg 0 % s -dx/2 rmoveto 0.2 setgray show grestore } bind def %------------------------- Setzen der Zahlen für die cm-Einteilungen ----------------------------------------------------------------- 0 1 30 { /MZ exch def MZ 2 string cvs MZ cm -0.78 cm cmshow } for %---------------- Zahlen 0 bis 30 (nach rechts) %------------------------------------------------------------------------------------------------------------- %-------------------------------------------------------------------------------------------------------------------------------------------------- %--------------- Ende nur grestore von gsave ganz am Anfang ------------------ grestore }% \endgroup% \end@SpecialObj\ignorespaces }% \definecolor{PoCRed}{rgb}{0.7,0.134,0.134} \define@boolkey[psset]{pst-geometrictools}[Pst@]{MCAngle}[true]{} \define@key[psset]{pst-geometrictools}{PoCLength}[5]{\def\pst@PoCLength{#1 }} \define@key[psset]{pst-geometrictools}{PoCAngle}[0]{\def\pst@PoCAngle{#1 }} \define@key[psset]{pst-geometrictools}{PoCFillCol}[PoCRed]{\pst@getcolor{#1}\PoCFillCol} \define@key[psset]{pst-geometrictools}{PoCMineCol}[black!80]{\pst@getcolor{#1}\PoCMineCol} \define@key[psset]{pst-geometrictools}{PoCScale}[1]{\def\pst@PoCScale{#1 }}% \define@key[psset]{pst-geometrictools}{RadVS}[RVS]{\def\pst@RadVS{#1}}% \define@key[psset]{pst-geometrictools}{AngleVS}[AVS]{\def\pst@AngleVS{#1}}% \define@key[psset]{pst-geometrictools}{RadMul}[1]{\def\pst@RadMul{#1 }}% \psset[pst-geometrictools]{PoCScale=1,PoCFillCol=PoCRed,PoCAngle=0,PoCMineCol=black!80,PoCLength=5,MCAngle=true,RadVS=RVS,AngleVS=AVS,RadMul=1} \def\psCompass{\def\pst@par{}\pst@object{psCompass}}% Pair of Compasses \def\psCompass@i#1(#2){\@ifnextchar(% {\psCompass@ii{0}(#2)}% {\psCompass@ii{#1}(#2)(#2)}}% \def\psCompass@ii#1(#2)(#3){%------------------------------- #1 Winkel, #2 Ursprung P, zweiter Punkt Q für Winkel \begin@SpecialObj \pst@killglue \begingroup% \pnode(#2){@PGD}% \pnode(#3){@QGD}% \use@par% \pst@getcoor{@QGD}\pst@tempB % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempB \pst@getcoor{@PGD}\pst@tempA % -------------------------- Hohle die Koordinaten und speichere sie in \pst@tempA \addto@pscode{% \pst@RadMul /faktor ED \pst@PoCScale /skal ED #1 skal div 2 div /Radius ED skal dup scale % -------- Skaliere das ganze Geodreieck /sysfill {systemdict /fill get exec} def /SLg \pst@PoCLength def /cm {28.45274 mul} def % ---------------------------------------- Definiere cm als Längeneinheit mit der multipliziert wird \pst@tempA\tx@UserCoor /@y1 ED /@x1 ED % ---------- Definiere die Koordinaten des Ursprungs (zur Winkelberechnung benötigt) \pst@tempB\tx@UserCoor /@y2 ED /@x2 ED % ---------- Definiere die Koordinaten des zweiten Punktes (zur Winkelberechnung benötigt) \pst@tempA\pst@coor /@y3 ED /@x3 ED @y1 @y2 sub dup mul @x1 @x2 sub dup mul add faktor dup mul mul /quadlg ED quadlg 0 eq { 180 } { @y1 @y2 sub @x1 @x2 sub atan } ifelse /@delta ED %------------ Winkelberechnung quadlg sqrt 2 div /RadiusPktB ED %------------ Radiusberechnung mit zweitem Punkt SLg RadiusPktB Radius add gt { RadiusPktB Radius add } { SLg } ifelse /RadPoC ED /hoehe SLg dup mul RadPoC dup mul sub sqrt def /phiS RadPoC hoehe atan def @x3 @y3 T % ------------------------------------------------------------------------------- Transformiere den Koordinatenursprung in P \pst@PoCAngle\space \ifPst@MCAngle\space @delta add 180 add \fi rotate % ------------------------------ Drehe das gesamte Geodreieck %------------------------------------------------------------------------------------------------------------- gsave %------------------------------------------------------------------------------------------------------------- %-------------- Linke Zirkelspitze----------------------------------------------- 0 cm 0 cm 0.15 cm 0 360 arc gsave newpath phiS neg rotate 0 cm 0 cm moveto -0.1 cm 0.33 cm lineto 0.07 cm 0 cm rlineto closepath gsave 0.5 setgray fill grestore grestore %---------------------------------------- rechte Zirkel-Mine -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm T phiS 2 mul rotate 0 cm SLg neg cm moveto 0.06 cm 0.1 cm rlineto 0.013 cm 0.2 cm rlineto -0.06 cm 0 cm rlineto closepath gsave \pst@usecolor\PoCMineCol fill grestore grestore %---------------------------------------- Spindel -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate -2 cm -1 phiS cos mul cm rmoveto 4 cm 0 cm rlineto gsave 0.5 setgray 1.6 setlinewidth stroke grestore grestore gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate -2 cm -1 phiS cos mul cm rmoveto 0.2 -0.75 rmoveto 189 { 0.5 1.5 rlineto 0.1 -1.5 rmoveto } repeat gsave 0.2 setgray 0.2 setlinewidth stroke grestore grestore %---------------------------------------- Drehrad an der Spindel -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate 0 cm -1.3 phiS cos mul cm rmoveto 0 cm 0.6 cm rlineto gsave 0.5 setgray 0.08 cm setlinewidth stroke grestore grestore gsave gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate -0.04 cm -1.28 phiS cos mul cm rmoveto 20 { 0.08 cm 0 cm rlineto -0.08 cm 0.03 cm rmoveto } repeat gsave 0.3 setgray 0.2 setlinewidth stroke grestore grestore gsave %---------------------------------------- Halterung zum Anfassen -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate 0 cm 0.75 0.54 phiS sin mul add cm moveto 0 cm 0.2 cm rlineto gsave 0.5 setgray 3 setlinewidth stroke grestore grestore gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate 0 cm 0.95 0.54 phiS sin mul add cm moveto 0 cm 0.05 cm rlineto gsave \pst@usecolor\PoCFillCol 5 setlinewidth stroke grestore grestore gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate 0 cm 1.0 0.54 phiS sin mul add cm moveto 0 cm 0.5 cm rlineto gsave 0.5 setgray 5 setlinewidth stroke grestore grestore gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate -0.08 cm 1.0 0.6 phiS sin mul add cm moveto 0 cm 0.48 cm rlineto 6 { 0.025 cm -0.48 cm rmoveto 0 cm 0.48 cm rlineto } repeat gsave 0.65 setgray 0.15 setlinewidth stroke grestore grestore gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate -0.075 cm 1.0 0.6 phiS sin mul add cm moveto 0 cm 0.48 cm rlineto 6 { 0.025 cm -0.48 cm rmoveto 0 cm 0.48 cm rlineto } repeat gsave 0.25 setgray 0.2 setlinewidth stroke grestore grestore %---------------------------------------- Kreis um oberen Teil -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm T phiS rotate 0 cm 0.1 0.54 phiS sin mul add cm moveto 0.65 -50 PtoC exch cm exch cm rmoveto 0 cm 0.1 0.54 phiS sin mul add cm 0.65 cm -50 230 arc gsave 0.1 setgray 1.3 setlinewidth stroke grestore grestore %---------------------------------------- Kreis zwischen den Schenkeln -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm moveto 0 cm SLg cm 0.15 cm 0 360 arc closepath gsave 0.1 setgray fill grestore grestore %---------------------------------------- Schenkel des Zirkels ---------------------------------------------------- gsave newpath phiS neg rotate 0 cm 0.3 cm moveto -0.3 cm SLg 0.1 add cm lineto 0 cm SLg cm T phiS 2 mul rotate 0.3 cm 0.1 cm moveto 0 cm SLg 0.3 sub neg cm lineto % closepath gsave 0.285 cm setlinewidth 2 setlinejoin \pst@usecolor\PoCFillCol stroke grestore grestore gsave newpath phiS neg rotate -0.17 cm SLg 0.6 mul cm moveto -0.25 cm SLg 0.85 mul cm lineto 0 cm SLg cm T phiS 2 mul rotate 0.17 cm SLg -0.4 mul cm moveto 0.25 cm SLg -0.15 mul cm lineto % closepath gsave 0.17 cm setlinewidth 2 setlinejoin 0.4 setgray stroke grestore grestore %---------------------------------------- Kreis an der linken Spitze -------------------------------------- gsave newpath phiS neg rotate -0.03 cm 0.8 cm moveto -0.03 cm 0.8 cm 0.175 cm 0 360 arc closepath gsave 0.25 setgray fill grestore grestore gsave newpath phiS neg rotate -0.03 cm 0.8 cm moveto -0.03 cm 0.8 cm 0.025 cm 0 360 arc closepath gsave 0.8 setgray fill grestore grestore %---------------------------------------- Kreis an der rechten Spitze -------------------------------------- gsave newpath phiS neg rotate 0 cm SLg cm T phiS 2 mul rotate 0.03 cm 0 cm T 0 cm SLg 0.8 sub neg cm moveto 0 cm SLg 0.8 sub cm neg 0.175 cm 0 360 arc closepath gsave 0.25 setgray fill grestore grestore gsave newpath phiS neg rotate 0 cm SLg cm T phiS 2 mul rotate 0.03 cm 0 cm T 0 cm SLg 0.8 sub neg cm moveto 0 cm SLg 0.8 sub cm neg 0.025 cm 0 360 arc closepath gsave 0.8 setgray fill grestore grestore %-------------------------------------------------------------------------------------------------------------------------------------------------- %--------------- Ende nur grestore von gsave ganz am Anfang ------------------ grestore }% \pnode(! \pst@tempA \tx@UserCoor /@@y1 ED /@@x1 ED \pst@tempB \tx@UserCoor /@@y2 ED /@@x2 ED @@x1 @@x2 sub @@y1 @@y2 sub Pyth \pst@RadMul\space mul /\pst@RadVS\space exch def @@y1 @@y2 sub dup mul @@x1 @@x2 sub dup mul add \pst@RadMul dup mul mul /quadlg ED quadlg 0 eq { 180 } { @@y1 @@y2 sub @@x1 @@x2 sub atan } ifelse /\pst@AngleVS\space exch def %------------ Winkelberechnung /\pst@AngleVS\space exch def 0 0){MoneyforNothing}% \endgroup% \end@SpecialObj\ignorespaces% }% %\define@boolkey[psset]{pst-geometrictools}[Pst@]{Ruler}[true]{} %\define@boolkey[psset]{pst-geometrictools}[Pst@]{Ppoint}[false]{} %\define@boolkey[psset]{pst-geometrictools}[Pst@]{LineOffset}[false]{} %\define@key[psset]{pst-geometrictools}{AddAngle}[0]{\def\pst@AddAngle{#1 }}% %\psset[pst-geometrictools]{Ruler=true,Ppoint=false,AddAngle=0,LineOffset=false} %% Distance between two points => #3 \def\psDistAB(#1)(#2)#3{% \pst@getcoor{#1}\pst@tempA \pst@getcoor{#2}\pst@tempB \pnode(! \pst@tempA \tx@UserCoor \pst@tempB \tx@UserCoor 3 -1 roll sub dup mul 3 1 roll sub dup mul add sqrt /#3 ED 0 0 ){XX} } %% calcule l'angle entre Ox et AB et le place en #3 \def\psAngleAB(#1)(#2)#3{% \pst@getcoor{#1}\pst@tempA \pst@getcoor{#2}\pst@tempB \pnode(! \pst@tempA \tx@UserCoor \pst@tempB \tx@UserCoor 3 -1 roll sub 3 1 roll exch sub Atan /#3 ED 0 0 ){YY} }% %% angle defined by three points \def\psAngleAOB(#1)(#2)(#3)#4{% \pst@getcoor{#1}\pst@tempA \pst@getcoor{#2}\pst@tempB \pst@getcoor{#2}\pst@tempC \pnode(! \pst@tempA \tx@UserCoor \pst@tempB \tx@UserCoor \pst@tempC \tx@UserCoor 4 copy exch 4 -1 roll mul 3 -2 roll mul add 4 -2 roll mul 4 -2 roll mul sub exch Atan /#4 ED 0 0 ){ZZ} } % la nouvelle version de \psParallels \define@key[psset]{pst-geometrictools}{DistCoeff}[1]{\def\pst@DistCoeff{#1 }}% \psset[pst-geometrictools]{DistCoeff=1} % \def\psParallels{\def\pst@par{}\pst@object{psParallels}} \def\psParallels@i(#1)(#2)(#3){% % \begin@SpecialObj \pst@killglue \begingroup \use@par \pnode(#1){pointA}% \pnode(#2){pointB}% \pnode(#3){pointC}% \pcline[nodesep=-3](pointA)(pointB) \psdots(pointA)(pointB)(pointC) % \uput[l](pointA){A}\uput[l](pointB){B}\uput[r](pointC){C} % \psProtractor[Ghost]{0}(pointA)% \psAngleAB(pointA)(pointB){alpha1} \psAngleAB(pointA)(GeodrA){alpha2} % \psdot(GeodrA)\uput[-90](GeodrA){A'}% right edge of triangle \psProtractor[Ghost]{alpha1 alpha2 sub }(pointA)% % \psdot(GeodrA)\uput[-90](GeodrA){A''}% right edge of triangle % \psdot(GeodrB)\uput[-90](GeodrB){B''}% left edge of triangle % \psdot(GeodrC)\uput[-90](GeodrC){C''}% bottom edge of triangle \psRuler{0}(GeodrB)(GeodrC) % \pstProjection[PointName={},PointSymbol=none]{pointA}{pointB}{pointC}[pointI]% \pstRotation[RotAngle=45,PointSymbol=none,PointName={}]{pointC}{pointI}[pointJ]% \pstInterLL[PointSymbol=none,PointName={}]{pointA}{pointB}{pointC}{pointJ}{pointK}% \pstTranslation[PointSymbol=none,PointName={},DistCoef=\pst@DistCoeff]{pointK}{pointC}{pointA}[pointA*] \psProtractor{alpha1 alpha2 sub}(pointA*)% \endgroup \ignorespaces% }% %\define@boolkey[psset]{pst-geometrictools}[Pst@]{Ruler}[true]{} %\define@boolkey[psset]{pst-geometrictools}[Pst@]{Ppoint}[false]{} %\define@boolkey[psset]{pst-geometrictools}[Pst@]{LineOffset}[false]{} %\define@key[psset]{pst-geometrictools}{AddAngle}[1]{\def\pst@AddAngle{#1 }}% %\psset[pst-geometrictools]{Ruler=true,Ppoint=false,AddAngle=0,LineOffset=false} %\def\psParallels{\def\pst@par{}\pst@object{psParallels}} %\def\psParallels@i(#1)(#2)(#3){% %\psset{saveNodeCoors,NodeCoorPrefix=n}% %\@ifundefined{rCounter}{\def\rCounter{1}}{}% %\begin@SpecialObj % %\pnode(#1){pointA}% %\pnode(#2){pointB}% %\pnode(#3){pointC}% %\pstProjection[PointName={},PointSymbol=none]{pointA}{pointB}{pointC}[pointI]% %\midAB(pointA)(pointB){pointM}% %\pstRotation[RotAngle=45,PointSymbol=none,PointName={}]{pointC}{pointI}[pointJ]% %\pstInterLL[PointSymbol=none,PointName={}]{pointA}{pointB}{pointC}{pointJ}{pointK}% %\AtoB(pointI)(pointC){IC}% %\AtoB(pointK)(pointC){KC}% %\AplusB(pointM)(KC){MT}% %\AplusB(pointB)(KC){BT}% %\psProtractor[Ghost]{0}(pointM)(pointB)% %\pnode(GeodrB){ProB}% %\pnode(GeodrC){ProC}% %\psLDNode(ProB)(ProC){-1cm}{pointE}% %\ifPst@Ruler\psRuler{0}(pointE)(GeodrC)\fi% %\AplusB(ProB)(KC){ProB*}% %\pst@Verb{ nKCx nKCy Pyth /laenge exch def % %nKCx laenge div \pst@number\pslinewidth\space 2 div 0.35 \pst@ProScale mul add mul 28.45274 div 2 sqrt mul /delX exch def % %nKCy laenge div \pst@number\pslinewidth\space 2 div 0.35 \pst@ProScale mul add mul 28.45274 div 2 sqrt mul /delY exch def %}% %\pnode(!nProB*x delX add nProB*y delY add ){GProB*}% %\pnode(!/AddA \pst@AddAngle def nProB*x AddA 0 eq { delX add } { AddA 180 eq { delX sub } { 0 add } ifelse } ifelse nProB*y AddA 0 eq { delY add } { AddA 180 eq { delY sub } { 0 add } ifelse } ifelse ){GProBC*}% %\pnode(!nMTx delX add nMTy delY add){GMT*}% %\pnode(!/AddA \pst@AddAngle def npointCx AddA 0 eq { delX add } { AddA 180 eq { delX sub } { 0 add } ifelse } ifelse npointCy AddA 0 eq { delY add } { AddA 180 eq { delY sub } { 0 add } ifelse } ifelse ){pointC*}% %\psLNode(pointM)(GMT*){\rCounter}{MPro}% %\psLNode(ProB)(GProB*){\rCounter}{BPro}% %\ifPst@Ppoint %\ifPst@LineOffset %\pst@Verb{ nICx nICy Pyth /laenge exch def % %nICx laenge div \pst@number\pslinewidth\space 2 div 0.35 \pst@ProScale mul add mul 28.45274 div 2 sqrt mul /delX exch def % %nICy laenge div \pst@number\pslinewidth\space 2 div 0.35 \pst@ProScale mul add mul 28.45274 div 2 sqrt mul /delY exch def % %}% %\pnode(!/AddA \pst@AddAngle def nProB*x AddA 0 eq { delX add } { AddA 180 eq { delX sub } { 0 add } ifelse } ifelse nProB*y AddA 0 eq { delY add } { AddA 180 eq { delY sub } { 0 add } ifelse } ifelse ){GProBC*}% %\pnode(!/AddA \pst@AddAngle def npointCx AddA 0 eq { delX add } { AddA 180 eq { delX sub } { 0 add } ifelse } ifelse npointCy AddA 0 eq { delY add } { AddA 180 eq { delY sub } { 0 add } ifelse } ifelse ){pointC*}% %\psProtractor{\pst@AddAngle}(pointC*)(GProBC*)\else% %\psProtractor{\pst@AddAngle}(pointC)(ProB*)\fi% %\else %\psProtractor{\pst@AddAngle}(MPro)(BPro)\fi % Um die Liniendicke 0.8pt nach rechts versetzt %\psLNode(pointC)(ProB*){0.98}{ProB**}% %\psLNode(pointC)(ProB**){2}{C*}% %\end@SpecialObj\ignorespaces% %}% \catcode`\@=\PstAtCode\relax \endinput