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How to fade a semiplane defined by line?


How can I stop defined points that are not displayed from influencing image size?LaTeX complains that tkzDrawArc is not definedHow to draw a dashed line and length with tkz-euclideColor fade a line in tikzpictureHow may I extend (prolong or produce) a line segment accurately in the following geometrical figure?Drawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingDraw Perpendicular to a lineHow to fade the color of an angle?Fade draw and fill in TikZHow to use points defined in tkz-euclide in tikz?













3















With the following code:



documentclass[tikz]standalone

usepackagetkz-euclide,tkz-fct,amsmath
usetkzobjall


begindocument
begintikzpicture[anchor=center]
tkzInit[xmin=-1, xmax=3, ymin=-1,ymax=3]
tkzDefPoints.5/2/P_1, 2.5/0/P_2, 1.5/1/M,2/1.5/A

tkzDrawX[noticks, label=(operatornameRe(x) )]
tkzDrawY[noticks, label=(operatornameIm(x) )]

tkzDrawPoints[fill=black, size=1mm](P_1,P_2,M)
tkzMarkRightAngle(A,M,P_1)
tkzFct[domain=-1:3, color=red, thick]x-.5
draw (P_1) -- (P_2);
tkzLabelPoints[above right](P_1,P_2)
tkzLabelPoints[right](M)

tkzText[color=black](1.5,3)(
endtikzpicture
enddocument


I'm getting:



enter image description here



I wanted to add a fade like this:



enter image description here



but I can't have the fade to be in the right angle.



How can I get this kind of fade, fadding to white?










share|improve this question


























    3















    With the following code:



    documentclass[tikz]standalone

    usepackagetkz-euclide,tkz-fct,amsmath
    usetkzobjall


    begindocument
    begintikzpicture[anchor=center]
    tkzInit[xmin=-1, xmax=3, ymin=-1,ymax=3]
    tkzDefPoints.5/2/P_1, 2.5/0/P_2, 1.5/1/M,2/1.5/A

    tkzDrawX[noticks, label=(operatornameRe(x) )]
    tkzDrawY[noticks, label=(operatornameIm(x) )]

    tkzDrawPoints[fill=black, size=1mm](P_1,P_2,M)
    tkzMarkRightAngle(A,M,P_1)
    tkzFct[domain=-1:3, color=red, thick]x-.5
    draw (P_1) -- (P_2);
    tkzLabelPoints[above right](P_1,P_2)
    tkzLabelPoints[right](M)

    tkzText[color=black](1.5,3)(
    endtikzpicture
    enddocument


    I'm getting:



    enter image description here



    I wanted to add a fade like this:



    enter image description here



    but I can't have the fade to be in the right angle.



    How can I get this kind of fade, fadding to white?










    share|improve this question
























      3












      3








      3








      With the following code:



      documentclass[tikz]standalone

      usepackagetkz-euclide,tkz-fct,amsmath
      usetkzobjall


      begindocument
      begintikzpicture[anchor=center]
      tkzInit[xmin=-1, xmax=3, ymin=-1,ymax=3]
      tkzDefPoints.5/2/P_1, 2.5/0/P_2, 1.5/1/M,2/1.5/A

      tkzDrawX[noticks, label=(operatornameRe(x) )]
      tkzDrawY[noticks, label=(operatornameIm(x) )]

      tkzDrawPoints[fill=black, size=1mm](P_1,P_2,M)
      tkzMarkRightAngle(A,M,P_1)
      tkzFct[domain=-1:3, color=red, thick]x-.5
      draw (P_1) -- (P_2);
      tkzLabelPoints[above right](P_1,P_2)
      tkzLabelPoints[right](M)

      tkzText[color=black](1.5,3)(
      endtikzpicture
      enddocument


      I'm getting:



      enter image description here



      I wanted to add a fade like this:



      enter image description here



      but I can't have the fade to be in the right angle.



      How can I get this kind of fade, fadding to white?










      share|improve this question














      With the following code:



      documentclass[tikz]standalone

      usepackagetkz-euclide,tkz-fct,amsmath
      usetkzobjall


      begindocument
      begintikzpicture[anchor=center]
      tkzInit[xmin=-1, xmax=3, ymin=-1,ymax=3]
      tkzDefPoints.5/2/P_1, 2.5/0/P_2, 1.5/1/M,2/1.5/A

      tkzDrawX[noticks, label=(operatornameRe(x) )]
      tkzDrawY[noticks, label=(operatornameIm(x) )]

      tkzDrawPoints[fill=black, size=1mm](P_1,P_2,M)
      tkzMarkRightAngle(A,M,P_1)
      tkzFct[domain=-1:3, color=red, thick]x-.5
      draw (P_1) -- (P_2);
      tkzLabelPoints[above right](P_1,P_2)
      tkzLabelPoints[right](M)

      tkzText[color=black](1.5,3)(
      endtikzpicture
      enddocument


      I'm getting:



      enter image description here



      I wanted to add a fade like this:



      enter image description here



      but I can't have the fade to be in the right angle.



      How can I get this kind of fade, fadding to white?







      tikz-pgf tkz-euclide






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 5 hours ago









      Concept7Concept7

      916




      916




















          2 Answers
          2






          active

          oldest

          votes


















          4














          You may rotate the shading area to the x-axis, shade, then rotate back with 'transform canvas'



          enter image description here



          documentclass[tikz,border=5mm]standalone
          usepackagetkz-euclide
          usetkzobjall
          begindocument
          begintikzpicture
          coordinate[label=above right:$P_1$] (P1) at (.5,2);
          coordinate[label=above right:$P_2$] (P2) at (2.5,0);
          coordinate[label=right:$M$] (M) at (1.5,1);
          coordinate (A) at (2,1.5);
          pgfmathsetmacroa.5-sqrt(2)
          pgfmathsetmacrob.5+sqrt(12.5)

          shade[top color=white,bottom color=red!50,
          transform canvas=rotate around=45:(.5,0)]
          (a,0) rectangle (b,.5);
          draw[-latex] (-1,0)--(3.5,0) node[below]rmRe$(x)$;
          draw[-latex] (0,-1)--(0,3.5) node[left]rmIm$(x)$;

          draw (P1) -- (P2);
          draw[red,thick] plot[domain=-.5:3] (x,x-.5);
          foreach p in P1,P2,M
          fill (p) circle(1pt);
          node at (1.5,3)(;
          tkzMarkRightAngle(P1,M,A)
          endtikzpicture
          enddocument





          share|improve this answer






























            2














            This is in principle very simple but tkz-euclide seems to mess up things a bit. One can just use a shading angle, which can, of course, be computed by TikZ.



            documentclass[tikz]standalone
            usetikzlibrarycalc,backgrounds
            usepackageamsmath
            DeclareMathOperatorreRe
            DeclareMathOperatorimIm
            begindocument
            begintikzpicture[anchor=center,declare function=f(x)=x-0.5;
            xmin=-1;xmax=3;]
            draw[-latex] (-1.5,0) -- (3.5,0) node[below left]$re z$;
            draw[-latex] (0,-1.5) -- (0,3.5) node[below left]$im z$;;
            path foreach X/Y/L/P in .5/2/P_1/45, 2.5/0/P_2/45, 1.5/1/M/0
            (X,Y) coordinate[label=P:$L$] (L);
            beginscope[on background layer]
            shade let p1=(xmin,f(xmin)),p2=(xmax,f(xmax)),
            n1=atan2(y2-y1,x2-x1) in
            [left color=white,right color=red,middle color=white,shading angle=n1]
            (p1) -- (p2) -- ($(p2)!2cm!-90:(p1)$) -- ($(p1)!2cm!90:(p2)$)
            ;
            endscope
            draw[red,thick] plot[variable=x,domain=xmin:xmax] (x,f(x));
            draw (P_1) -- (P_2);
            node[anchor=south,red] at (1.5,3) z-z_1;
            endtikzpicture
            enddocument


            enter image description here






            share|improve this answer




















            • 1





              I like your answer, and the correction of re(x) and im(x) :).

              – manooooh
              27 mins ago










            Your Answer








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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            4














            You may rotate the shading area to the x-axis, shade, then rotate back with 'transform canvas'



            enter image description here



            documentclass[tikz,border=5mm]standalone
            usepackagetkz-euclide
            usetkzobjall
            begindocument
            begintikzpicture
            coordinate[label=above right:$P_1$] (P1) at (.5,2);
            coordinate[label=above right:$P_2$] (P2) at (2.5,0);
            coordinate[label=right:$M$] (M) at (1.5,1);
            coordinate (A) at (2,1.5);
            pgfmathsetmacroa.5-sqrt(2)
            pgfmathsetmacrob.5+sqrt(12.5)

            shade[top color=white,bottom color=red!50,
            transform canvas=rotate around=45:(.5,0)]
            (a,0) rectangle (b,.5);
            draw[-latex] (-1,0)--(3.5,0) node[below]rmRe$(x)$;
            draw[-latex] (0,-1)--(0,3.5) node[left]rmIm$(x)$;

            draw (P1) -- (P2);
            draw[red,thick] plot[domain=-.5:3] (x,x-.5);
            foreach p in P1,P2,M
            fill (p) circle(1pt);
            node at (1.5,3)(;
            tkzMarkRightAngle(P1,M,A)
            endtikzpicture
            enddocument





            share|improve this answer



























              4














              You may rotate the shading area to the x-axis, shade, then rotate back with 'transform canvas'



              enter image description here



              documentclass[tikz,border=5mm]standalone
              usepackagetkz-euclide
              usetkzobjall
              begindocument
              begintikzpicture
              coordinate[label=above right:$P_1$] (P1) at (.5,2);
              coordinate[label=above right:$P_2$] (P2) at (2.5,0);
              coordinate[label=right:$M$] (M) at (1.5,1);
              coordinate (A) at (2,1.5);
              pgfmathsetmacroa.5-sqrt(2)
              pgfmathsetmacrob.5+sqrt(12.5)

              shade[top color=white,bottom color=red!50,
              transform canvas=rotate around=45:(.5,0)]
              (a,0) rectangle (b,.5);
              draw[-latex] (-1,0)--(3.5,0) node[below]rmRe$(x)$;
              draw[-latex] (0,-1)--(0,3.5) node[left]rmIm$(x)$;

              draw (P1) -- (P2);
              draw[red,thick] plot[domain=-.5:3] (x,x-.5);
              foreach p in P1,P2,M
              fill (p) circle(1pt);
              node at (1.5,3)(;
              tkzMarkRightAngle(P1,M,A)
              endtikzpicture
              enddocument





              share|improve this answer

























                4












                4








                4







                You may rotate the shading area to the x-axis, shade, then rotate back with 'transform canvas'



                enter image description here



                documentclass[tikz,border=5mm]standalone
                usepackagetkz-euclide
                usetkzobjall
                begindocument
                begintikzpicture
                coordinate[label=above right:$P_1$] (P1) at (.5,2);
                coordinate[label=above right:$P_2$] (P2) at (2.5,0);
                coordinate[label=right:$M$] (M) at (1.5,1);
                coordinate (A) at (2,1.5);
                pgfmathsetmacroa.5-sqrt(2)
                pgfmathsetmacrob.5+sqrt(12.5)

                shade[top color=white,bottom color=red!50,
                transform canvas=rotate around=45:(.5,0)]
                (a,0) rectangle (b,.5);
                draw[-latex] (-1,0)--(3.5,0) node[below]rmRe$(x)$;
                draw[-latex] (0,-1)--(0,3.5) node[left]rmIm$(x)$;

                draw (P1) -- (P2);
                draw[red,thick] plot[domain=-.5:3] (x,x-.5);
                foreach p in P1,P2,M
                fill (p) circle(1pt);
                node at (1.5,3)(;
                tkzMarkRightAngle(P1,M,A)
                endtikzpicture
                enddocument





                share|improve this answer













                You may rotate the shading area to the x-axis, shade, then rotate back with 'transform canvas'



                enter image description here



                documentclass[tikz,border=5mm]standalone
                usepackagetkz-euclide
                usetkzobjall
                begindocument
                begintikzpicture
                coordinate[label=above right:$P_1$] (P1) at (.5,2);
                coordinate[label=above right:$P_2$] (P2) at (2.5,0);
                coordinate[label=right:$M$] (M) at (1.5,1);
                coordinate (A) at (2,1.5);
                pgfmathsetmacroa.5-sqrt(2)
                pgfmathsetmacrob.5+sqrt(12.5)

                shade[top color=white,bottom color=red!50,
                transform canvas=rotate around=45:(.5,0)]
                (a,0) rectangle (b,.5);
                draw[-latex] (-1,0)--(3.5,0) node[below]rmRe$(x)$;
                draw[-latex] (0,-1)--(0,3.5) node[left]rmIm$(x)$;

                draw (P1) -- (P2);
                draw[red,thick] plot[domain=-.5:3] (x,x-.5);
                foreach p in P1,P2,M
                fill (p) circle(1pt);
                node at (1.5,3)(;
                tkzMarkRightAngle(P1,M,A)
                endtikzpicture
                enddocument






                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 5 hours ago









                Black MildBlack Mild

                697611




                697611





















                    2














                    This is in principle very simple but tkz-euclide seems to mess up things a bit. One can just use a shading angle, which can, of course, be computed by TikZ.



                    documentclass[tikz]standalone
                    usetikzlibrarycalc,backgrounds
                    usepackageamsmath
                    DeclareMathOperatorreRe
                    DeclareMathOperatorimIm
                    begindocument
                    begintikzpicture[anchor=center,declare function=f(x)=x-0.5;
                    xmin=-1;xmax=3;]
                    draw[-latex] (-1.5,0) -- (3.5,0) node[below left]$re z$;
                    draw[-latex] (0,-1.5) -- (0,3.5) node[below left]$im z$;;
                    path foreach X/Y/L/P in .5/2/P_1/45, 2.5/0/P_2/45, 1.5/1/M/0
                    (X,Y) coordinate[label=P:$L$] (L);
                    beginscope[on background layer]
                    shade let p1=(xmin,f(xmin)),p2=(xmax,f(xmax)),
                    n1=atan2(y2-y1,x2-x1) in
                    [left color=white,right color=red,middle color=white,shading angle=n1]
                    (p1) -- (p2) -- ($(p2)!2cm!-90:(p1)$) -- ($(p1)!2cm!90:(p2)$)
                    ;
                    endscope
                    draw[red,thick] plot[variable=x,domain=xmin:xmax] (x,f(x));
                    draw (P_1) -- (P_2);
                    node[anchor=south,red] at (1.5,3) z-z_1;
                    endtikzpicture
                    enddocument


                    enter image description here






                    share|improve this answer




















                    • 1





                      I like your answer, and the correction of re(x) and im(x) :).

                      – manooooh
                      27 mins ago















                    2














                    This is in principle very simple but tkz-euclide seems to mess up things a bit. One can just use a shading angle, which can, of course, be computed by TikZ.



                    documentclass[tikz]standalone
                    usetikzlibrarycalc,backgrounds
                    usepackageamsmath
                    DeclareMathOperatorreRe
                    DeclareMathOperatorimIm
                    begindocument
                    begintikzpicture[anchor=center,declare function=f(x)=x-0.5;
                    xmin=-1;xmax=3;]
                    draw[-latex] (-1.5,0) -- (3.5,0) node[below left]$re z$;
                    draw[-latex] (0,-1.5) -- (0,3.5) node[below left]$im z$;;
                    path foreach X/Y/L/P in .5/2/P_1/45, 2.5/0/P_2/45, 1.5/1/M/0
                    (X,Y) coordinate[label=P:$L$] (L);
                    beginscope[on background layer]
                    shade let p1=(xmin,f(xmin)),p2=(xmax,f(xmax)),
                    n1=atan2(y2-y1,x2-x1) in
                    [left color=white,right color=red,middle color=white,shading angle=n1]
                    (p1) -- (p2) -- ($(p2)!2cm!-90:(p1)$) -- ($(p1)!2cm!90:(p2)$)
                    ;
                    endscope
                    draw[red,thick] plot[variable=x,domain=xmin:xmax] (x,f(x));
                    draw (P_1) -- (P_2);
                    node[anchor=south,red] at (1.5,3) z-z_1;
                    endtikzpicture
                    enddocument


                    enter image description here






                    share|improve this answer




















                    • 1





                      I like your answer, and the correction of re(x) and im(x) :).

                      – manooooh
                      27 mins ago













                    2












                    2








                    2







                    This is in principle very simple but tkz-euclide seems to mess up things a bit. One can just use a shading angle, which can, of course, be computed by TikZ.



                    documentclass[tikz]standalone
                    usetikzlibrarycalc,backgrounds
                    usepackageamsmath
                    DeclareMathOperatorreRe
                    DeclareMathOperatorimIm
                    begindocument
                    begintikzpicture[anchor=center,declare function=f(x)=x-0.5;
                    xmin=-1;xmax=3;]
                    draw[-latex] (-1.5,0) -- (3.5,0) node[below left]$re z$;
                    draw[-latex] (0,-1.5) -- (0,3.5) node[below left]$im z$;;
                    path foreach X/Y/L/P in .5/2/P_1/45, 2.5/0/P_2/45, 1.5/1/M/0
                    (X,Y) coordinate[label=P:$L$] (L);
                    beginscope[on background layer]
                    shade let p1=(xmin,f(xmin)),p2=(xmax,f(xmax)),
                    n1=atan2(y2-y1,x2-x1) in
                    [left color=white,right color=red,middle color=white,shading angle=n1]
                    (p1) -- (p2) -- ($(p2)!2cm!-90:(p1)$) -- ($(p1)!2cm!90:(p2)$)
                    ;
                    endscope
                    draw[red,thick] plot[variable=x,domain=xmin:xmax] (x,f(x));
                    draw (P_1) -- (P_2);
                    node[anchor=south,red] at (1.5,3) z-z_1;
                    endtikzpicture
                    enddocument


                    enter image description here






                    share|improve this answer















                    This is in principle very simple but tkz-euclide seems to mess up things a bit. One can just use a shading angle, which can, of course, be computed by TikZ.



                    documentclass[tikz]standalone
                    usetikzlibrarycalc,backgrounds
                    usepackageamsmath
                    DeclareMathOperatorreRe
                    DeclareMathOperatorimIm
                    begindocument
                    begintikzpicture[anchor=center,declare function=f(x)=x-0.5;
                    xmin=-1;xmax=3;]
                    draw[-latex] (-1.5,0) -- (3.5,0) node[below left]$re z$;
                    draw[-latex] (0,-1.5) -- (0,3.5) node[below left]$im z$;;
                    path foreach X/Y/L/P in .5/2/P_1/45, 2.5/0/P_2/45, 1.5/1/M/0
                    (X,Y) coordinate[label=P:$L$] (L);
                    beginscope[on background layer]
                    shade let p1=(xmin,f(xmin)),p2=(xmax,f(xmax)),
                    n1=atan2(y2-y1,x2-x1) in
                    [left color=white,right color=red,middle color=white,shading angle=n1]
                    (p1) -- (p2) -- ($(p2)!2cm!-90:(p1)$) -- ($(p1)!2cm!90:(p2)$)
                    ;
                    endscope
                    draw[red,thick] plot[variable=x,domain=xmin:xmax] (x,f(x));
                    draw (P_1) -- (P_2);
                    node[anchor=south,red] at (1.5,3) z-z_1;
                    endtikzpicture
                    enddocument


                    enter image description here







                    share|improve this answer














                    share|improve this answer



                    share|improve this answer








                    edited 4 hours ago

























                    answered 5 hours ago









                    marmotmarmot

                    111k5138257




                    111k5138257







                    • 1





                      I like your answer, and the correction of re(x) and im(x) :).

                      – manooooh
                      27 mins ago












                    • 1





                      I like your answer, and the correction of re(x) and im(x) :).

                      – manooooh
                      27 mins ago







                    1




                    1





                    I like your answer, and the correction of re(x) and im(x) :).

                    – manooooh
                    27 mins ago





                    I like your answer, and the correction of re(x) and im(x) :).

                    – manooooh
                    27 mins ago

















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